High Yield Test #14 (Level 2)

Botany - Section A

1. In angiosperms:

I:	Each anther develops four microsporangia
II:	Each microspore mother cell undergoes meiosis and produces four haploid microspores
III:	Each microspore gives rise to a male gametophyte

1. Only I and II are correct
2. Only I and III are correct
3. Only II and III are correct
4. I, II and III are correct

2. In contrast to Rhizobium species, Azotobacter species are:

1.	lacking nitrogenase
2.	free-living, nitrogen-fixing bacteria
3.	obligate symbionts
4.	Gram-positive bacteria

3. Lady beetles, and in particular their larvae, are voracious predators of:

1.	Aphids	2.	Mosquito
3.	Spider mites	4.	Nematodes

4. Match each item in Column I with one in Column II and select the correct match from the codes given:

	Column I [Flower]		Column II [Pollination by]
A.	Brassica	P.	Water
B.	Zostera	Q.	Moth
C.	Grasses	R.	Wind
D.	Yucca	S.	Honey bees

Codes:

	A	B	C	D
1.	S	P	R	Q
2.	Q	R	P	S
3.	S	P	Q	R
4.	Q	R	S	P

5. Match each item in Column I with one in Column II and select the correct match from the codes given:

	COLUMN I		COLUMN II
A	Asexual reproductive structure in Penicillium	P	Conidia
B	Vegetative propagule in Agave	Q	Marchantia
C	Monoecious plant	R	Chara
D	Dioecious plant	S	Bulbil

Codes:

	A	B	C	D
1.	P	S	Q	R
2.	S	P	Q	R
3.	P	S	R	Q
4.	S	P	R	Q

6. Which RNA molecule plays structural and catalytic role during translation?

1.	miRNA	2.	rRNA
3.	tRNA	4.	mRNA

7. During the decomposition of detritus, the correct chronological sequence of steps involved is:

1.	Fragmentation → Leaching → Catabolism
2.	Catabolism → Leaching → Fragmentation
3.	Leaching → Fragmentation → Catabolism
4.	There is no sequence as all steps occur simultaneously

8.

Assertion:	Predatory fish such as swordfish and sharks or birds like osprey and eagles have higher concentrations of mercury in their tissue than could be accounted for by direct exposure alone.
Reason:	Mercury undergoes biomagnifications in aquatic ecosystems.

1.	Both assertion and reason are true and the reason is the correct explanation of the assertion
2.	Both assertion and reason are true but the reason is not the correct explanation of the assertion
3.	Assertion is true but reason is false
4.	Both assertion and reason are false

9.

Assertion (A):	It makes sense to make concentrated efforts to conserve hotspots of biodiversity.
Reason (R):	They cover majority of the area of the planet earth.

1.	Both (A) and (R) are True and (R) is the correct explanation of (A)
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A)
3.	(A) is True but (R) is False
4.	Both (A) and (R) are False

10.

Assertion:	Growth cannot be taken as a defining property of living organisms.
Reason:	A multicellular organism grows by cell division.

1.	Both assertion and reason are true and the reason is the correct explanation of the assertion
2.	Both assertion and reason are true but the reason is not the correct explanation of the assertion
3.	Assertion is true but reason is false
4.	Both assertion and reason are false

11.

Assertion:	Excess of manganese may induce deficiency of calcium.
Reason:	Manganese competes with calcium for uptake.

1.	Both assertion and reason are true and the reason is the correct explanation of the assertion
2.	Both assertion and reason are true but the reason is not the correct explanation of the assertion
3.	Assertion is true but reason is false
4.	Both assertion and reason are false

12. Nitrogen-fixing bacterium that lives in symbiosis with actinorhizal plants in the genus Alnus is:
1. Rhizobium
2. Frankia
3. Azotobacter
4. Azospirillum

13.

Select the genotype amongst the given genotypes which will result in lightest skin colour in humans:

1.	AAbbCC	2.	AABBCc
3.	aaBBCC	4.	AaBbCc

14. To form a nucleosome:

1.	the negatively charged DNA is wrapped around the positively charged histone octamer
2.	the negatively charged DNA is wrapped around the positively charged histone tetramer
3.	the positively charged DNA is wrapped around the negatively charged histone octamer
4.	the positively charged DNA is wrapped around the negatively charged histone tetramer

15. A segment of DNA coding for a polypeptide is a/an:
1. Recon
2. Exon
3. Cistron
4. Intron

16. Which of the following organic molecule is not correctly matched with the diagrammatic representation of its structure?

1.	Alanine
2.	Palmitic acid	\(CH_3 - {(CH_2)}_{14} - COOH\)
3.	Glycerol
4.	Adenylic acid

17. Which of the following is/are a surface structure of the bacterial cell but do not play a role in motility?
I. Flagella
II. Pili
III. Fimbriae

1.	Only I	2.	Only II
3.	Only II and III	4.	Only III

18. Identify the incorrectly matched pair:

1.	Having the sepals united	Gamosepalous
2.	Sterile stamen	Staminate
3.	Stamens attached to perianth	Epiphyllous
4.	Having the carpels of the gynoecium fused in a compound ovary	Syncarpous

19. Both Mycoplasma and Euglenoids:
1. can survive without oxygen
2. are unicellular eukaryotes
3. lack cell wall
4. have two flagella

20. Regarding the epidermal tissue system of the plant:

1.	Cuticle is present in almost all roots.
2.	Only guard cells lack chloroplasts.
3.	Guard cells are bean-shaped in grasses.
4.	Trichomes are usually multicellular.

21. Abnormally folded infectious proteins can, in humans, cause:
1. Mad cow disease
2. Scrapie
3. Creutzfeldt-Jacob disease
4. MERS

22. The innermost layer of the cortex in the roots that restricts the apoplastic transport of water inside is called as:
1. Hypodermis
2. Endodermis
3. Pericycle
4. Stele

23. When the ratio of carbon dioxide and oxygen in the vicinity of RuBisCO is 1, the affinity of the enzyme:

1.	is nearly nil for oxygen
2.	is about equal for both carbon dioxide and oxygen
3.	is much greater for oxygen than carbon dioxide
4.	is much greater for carbon dioxide than oxygen

24. The number of carbon atoms in all the following molecules is 4 except in:

1.	α ketoglutaric acid	2.	Oxaloacetic acid
3.	Succinic acid	4.	Malic acid

25. PGRs can be broadly divided into two groups – plant growth promoters and plant growth inhibitors. Ethylene:

1.	belongs to the group of plant growth promoters
2.	belongs to the group of plant growth inhibitors
3.	could fit either of the groups, but is largely an inhibitor of growth activities
4.	could fit either of the groups, but is largely a promoter of growth activities

26. Antipodal is an adjective that means ‘diametrically opposite’. Where are the antipodal cells located in an embryosac of an angiosperm?
1. At the micropylar end
2. At the chalazal end
3. In the middle
4. There are three – one at micropylar and two at chalazal end

27. Study the given diagram and select the best option:

1.	The mating between I-1 and I-II is consanguineous
2.	The first born child of I-1 and I-II is a male
3.	The first born child of I-1 and I-II is a female
4.	The first born child of I-1 and I-II is affected by a genetic disease

28. Pusa Sawani and Pusa A-4 are improved varieties of:
1. Okra [Bhindi] and are resistant to fruit and shoot borer
2. Flat bean and are resistant to Jassids and Aphids
3. Cow pea and are resistant to bacterial blight
4. Wheat and are resistant to hill bunt

29. Identify the correct statement:

1.	Roquefort cheese is ripened by a growing a specific bacterium on them
2.	LAB improves the nutritional quality of curd by increasing Vitamin A
3.	Aspergillus niger is used for commercial production of citric acid
4.	Statins are used to lower blood glucose levels in IDDM

30. Identify the option where the features are correctly matched to the types with respect to mustard:

	Flower symmetry	Ovary position	Androecium	Gynoecium
1.	Zygomorphic	Inferior	Variable length stamens within a flower	Parietal placentation
2.	Zygomorphic	Inferior	Polyadelphous	Marginal placentation
3.	Actinomorphic	Superior	Polyadelphous	Axile placentation
4.	Actinomorphic	Superior	Variable length stamens within a flower	Parietal placentation

31. Both Xylem and Phloem are complex tissues. At maturity, the living component of xylem and the dead component of phloem respectively are:

1.	Xylem parenchyma and Phloem parenchyma
2.	Xylem parenchyma and Phloem fibres
3.	Xylem fibres and Phloem fibres
4.	Xylem fibres and Phloem parenchyma

32. Of the total cost of various ecosystem services, the cost of climate regulation and habitat for wildlife is about:
1.   6 %
2.   10 %
3.   12 %
5.   50 %

33. Consider the following statements:

I:	Among invertebrates maximum species richness is seen in insects
II:	Among vertebrates maximum species richness is seen in mammals

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

34. What is not true regarding the Montreal Protocol?

1.	It is an international treaty designed to protect the ozone layer.
2.	It was signed in 1987.
3.	It entered into force on 1 January 1989.
4.	Same roadmap was developed for both developed and developing countries for reducing ozone depleting substances.

35. A dominant gametophyte will be seen in the life cycle of:
1. Marchantia
2. Sequoia
3. Adiantum
4. Eucalyptus

Botany - Section B

36.

For the same amount of carbon dioxide fixed, a C₄ plant loses:
1. ¼ as much water as a C₃ plant
2. ½ as much water as a C₃ plant
3. equal amount of water than a C₃plant
4. twice the amount of water than a C₃ plant

37. In some species, such as coffee, the endosperm does not develop. Instead, the nucellus produces a nutritive tissue termed:

1.	Perisperm	2.	Cotyledon
3.	Albumen	4.	Scutellum

38. Match the terms given in Column-I with their given definition in Column-II and select the correct match from the codes given:

Column-I		Column-II
A.	Homozygous	P.	having two different alleles of a particular gene or genes
B.	Heterozygous	Q.	having two identical alleles of a particular gene or genes
C.	Homologous	R.	not having the same alleles or genes in the same order of arrangement
D.	Heterologous	S.	having the same alleles or genes in the same order of arrangement

Codes:

	A	B	C	D
1.	P	Q	R	S
2.	S	R	Q	P
3.	Q	P	S	R
4.	P	Q	S	R

39. What is incorrect about the Double helix structure of DNA molecule?
1. The two strands are antiparallel
2. The two strands are complementary
3. The pitch is 34 nm
4. The two strands are coiled in a right-handed fashion

40. Match each item in Column I with the one in Column II and select the correct match from the codes given:

	COLUMN I [Mineral]		COLUMN II [Role in plant]
A	Boron	P	Structure of chlorophyll
B	Manganese	Q	Synthesis of auxin
C	Magnesium	R	Pollen germination
D	Zinc	S	Splitting of water in photosynthesis

Codes:

	A	B	C	D
1.	P	Q	R	S
2.	R	S	P	Q
3.	Q	S	R	P
4.	S	R	Q	P

41. Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A):	Growth, at a cellular level, is measured by a variety of parameters such as increase in fresh weight, dry weight, length, area, volume and cell number.
Reason (R):	Such parameters are more or less proportional to the increase in protoplasm which is primarily responsible for growth at cellular level.

In the light of the above statements choose the correct answer from the options given below:

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

42. An example of a chemical used to remove the effect of inhibitory chemicals, present in seeds and causing dormancy, is:

1.	Abscisic acid	2.	Gibberellic acid
3.	Para-ascorbic acid	4.	Phenolic acid

43. Nostoc:

1.	is a green alga
2.	is unicellular eukaryote capable of forming filamentous colonies
3.	can fix atmospheric nitrogen
4.	carry out anoxygenic photosynthesis

44. In Dianthus or Primrose, the ovule is:

1.	borne on a ridge along the ventral suture of the ovary
2.	attached to axial placenta in a multilocular ovary
3.	borne on central axis and septa are absent
4.	single and attached to placenta at the base of the ovary

45. During Mendel’s investigations into inheritance patterns it was for the first time that:

1.	experiments were conducted on garden pea
2.	artificial pollination experiments were carried out
3.	statistical analysis and mathematical logic were applied to problems in biology
4.	all characteristics were passed to the next generation through blending inheritance

46. Smooth-leaved and nectar-less cotton does not attract:
1. Jassids
2. Bollworms
3. Stem sawfly
4. Stem borers

47. In glycolysis, which of the following conversions is an energy yielding process?
1. Glucose to Glucose-6-phosphate
2. Fructose-6-phosphate to Fructose 1,6- biphopshate
3. BPGA to 3-phosphoglyceric acid
4. 3-phosphoglyceric acid to 2-phosphoglycerate

48. RuBP is a:

1.	Aldopentose sugar	2.	Ketopentose sugar
3.	Aldohexose sugar	4.	Ketohexose sugar

49. What would be true for both Cycas and Pinus?

1.	Cycas is a gymnosperm and Pinus is a pteridophyte
2.	The gametophyte is dominant in the life cycle of Cycas and the sporophytes is dominant in the life cycle of Pinus
3.	Roots of Pinus have mycorrhiza association and coralloid roots of Cycas are associated with nitrogen-fixing cyanobacteria
4.	In Pinus, the male and female cones are borne on different trees and in Cycas on the same tree

50. Which relationship given in column I is not correctly matched with the partner apparently not deriving any benefit out of the relationship [Column II]?

	Column I	Column II
1.	Orchid growing on a mango branch	Mango
2.	Barnacles growing on back of a whale	Whale
3.	Sea anemone and clown fish	Sea anemone
4.	Lichen	Algal partner

Zoology - Section A

51. The testes of a male child aged four years will have:

1.	primary spermatocytes	2.	immature sperms
3.	spermatogonia	4.	spermatids

52. Out-crossing:

I.	is the best breeding method for animals that are below average in productivity in milk production, growth rate and beef cattle.
II.	helps to overcome inbreeding depression

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

53. Predators:

1.	act as conduits for energy transfer across trophic levels
2.	do not include herbivores in broad ecological context
3.	indiscriminately kill their prey
4.	have a very high biotic potential

54. Consider the two statements

I:	Phenylketonuria is caused by mutation in a pleiotropic gene
II:	Sickle cell anemia is inherited as an autosomal-recessive condition

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

55. Identify the incorrectly matched pair:

1.	Length of Testis	4 to 5 cm
2.	Width of testis	2 to 3 cm
3.	Length of ovary	5 to 6 cm
4.	Length of fallopian tube	10 to 12 cm

56. Specific receptors of the vestibular apparatus responsible for maintenance of balance of the body and posture are called:
1. Utricle and Saccule
2. Crista and Macula
3. Macula and Fovea
4. Organ of Corti and Sterocilia

57. Which of the following animals is not matched to its correct scientific name?

1.	Penguin: Aptenodytes	2.	Tortoise: Testudo
3.	Platypus: Macropus	4.	Angel fish: Pterophyllum

58. Which of the following is not a function of adrenaline and noradrenaline?
1. Piloerection
2. Pupilary constriction
3. Increase in strength of heart contraction
4. Breakdown of glycogen, lipids, and proteins.

59. Which of the following stages of meiosis is not correctly matched with the event of cell division?

1.	Metaphase I	Bivalent alignment on the equatorial plate
2.	Anaphase I	Splitting of centromere
3.	Prophase II	Nuclear membrane disappears by the end
4.	Metaphase II	Microtubules from the opposite poles of the spindle get attached to the kinetochores of sister chromatids

60. To increase renal medullary interstitial osmolality, NaCl passes to the interstitium from:

1.	The thick segment of ascending limb of the loop of Henle
2.	The collecting tubule
3.	Descending limb of vasa recta
4.	The Proximal Convoluted Tubule

61. The bile released into the second part of the duodenum does not contain:
1. Bile slats
2. Bile pigments
3. Cholesterol
4. Lipases

62. To overcome short duration stressful conditions, organism may escape the stressful conditions in time. All the following will be example for this strategy except:
1. Hibernation
2. Aestivation
3. Migration
4. Diapause

63. The main challenge for production of insulin using rDNA techniques was:
1. getting insulin assembled into a mature form.
2. isolating DNA in pure form from human cell
3. selecting the vector for cloning the gene
4. purification of the human insulin

64. The first transgenic cow produced:

1.	enzyme to treat emphysema
2.	human protein enriched milk
3.	enzyme to treat phenylketonuria
4.	organs for xenotransplantation

65. What controls the copy number of linked DNA in a transformed bacterial cell?

1.	Ori	2.	Cloning sites
3.	Selectable marker	4.	Reporter gene

66. Modern Homo sapiens arose:
1. 75000-10000 years ago
2. 100000-40000 years ago
3. 1.5 mya
4. 3-4 mya

67. At present, the legal age for marriage in India:

1.	has been raised to 21 years for females
2.	has been reduced to 18 years for males
3.	is 18 years for females and 21 years for males
4.	is 18 years for males and 21 years for females

68. Occurrence of which of the following is unlikely?

1.	Ciliated epithelium in fallopian tube
2.	Cuboidal brush bordered epithelium in PCT
3.	Columnar brush bordered epithelium in small intestine
4.	Compound epithelium at the diffusion boundaries

69. Which secondary metabolite is used as a drug in the treatment of certain cancers?
1. Abrin
2. Digoxin
3. Concanavalin A
4. Vinblastin

70. The conducting part of the human respiratory system transports atmospheric air to alveoli and also performs all the following functions except:
1. Clears the inhaled air of foreign particles
2. Humidifies the air
3. Brings the air to body temperature
4. Provides site for diffusion of gases into the blood

71. If an Rh –ve mother is carrying an Rh +ve foetus, she is likely to be exposed to the Rh antigen:
1. At the time of implantation of the blastocyst
2. At the time when the placenta becomes functional
3. When the first movements of the baby can be felt
4. At the time of delivery

72. The central nervous system in chordates is not:

1.	Single
2.	Hollow
3.	Ventral
4.	Derived from embryonic ectoderm

73. The number of:

1.	Aromatic proteinogenic amino acids is 5
2.	Carbon atoms in arachidonic acid including carboxyl carbon is 20
3.	Fatty acids in cholesterol is 3
4.	Polypeptide chains in quaternary structure of haemoglobin is 2

74. Which of the following is not guarded by the presence of a sphincter?

1.	Opening of Oesophagus into Stomach
2.	Opening of Stomach into Duodenum
3.	Opening of Ileum into Jejunum
4.	Opening of common hepato-pancreatic duct into duodenum

75. In the diffusion membrane in human lungs, a basement membrane supports:

I. Alveolar epithelium

II. Vascular endothelium

1.	Only I	2.	Only II
3.	Both I and II	4.	Neither I nor II

76. A cardiovascular centre that can moderate the cardiac function through the autonomic neural system is located in the:

1.	Pons varoli	2.	Medulla oblongata
3.	Hypothalamus	4.	Cerebrum

77. ADH:

I:	is released when an excessive loss of fluid from the body activates osmoreceptors in the body.
II:	prevents dieresis by facilitating water reabsorption from the initial and proximal parts of the tubules.

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

78. Identify the incorrect statement regarding the ultra-structure of a skeletal muscle:

1.	Z lines bisect the I band
2.	G actin is a polymer of F actins
3.	A subunit of troponin masks active binding sites for myosin on the actin filament.
4.	Globular head of myosin has ATPase activity.

79. Consider the given two statements:

I:	In a neuron, Nissl’s granules are present in dendrites as well as cell body
II:	Unmyelinated neurons in peripheral neural system are not enclosed by a Schwann cell

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

80. Identify the correctly matched pair:

1.	Hyposecretion of growth hormone in adults	Acromegaly
2.	Lack of insulin	Diabetes insipidus
3.	Hyperthyroidism	Graves’ disease
4.	Hypocortisolism	Cushing’s disease

81. The frequency of a recessive allele in a population at genetic equilibrium is 0.3. What is the frequency of homozygous dominant genotype in this population?
1. 0.49
2. 0.09
3. 0.21
4. 0.7

82. While cutting dsDNA the progression of a restriction enzyme digestion can be checked by employing:
1. Agarose gel electrophoresis
2. FISH
3. Ethidium bromide
4. Autoradiography

83. Meselson and Stahl were able to distinguish heavy DNA molecules from the normal DNA by:
1. growing them in radioactive ¹⁵NH₄Cl environment
2. centrifugation in a CsCl density gradient
3. radioactive tagging with ³²P
4. agarose gel electrophoresis

84. In bacteria, the formation of peptide bond is catalyzed by a ribozyme that is a part of the:

1.	50S (23S component) ribosome subunit
2.	30S (28S component) ribosome subunit
3.	60S (28S component) ribosome subunit
4.	40S (23S component) ribosome subunit

85. Which of the following drugs is a very effective sedative and painkiller, acts on its receptors in CNS and GIT and is also a CNS suppressant?
1. Morphine
2. Marijuana
3. Cocaine
4. Atropine

Zoology - Section B

86.

The partial pressures are not equal:
1. for oxygen in deoxygenated blood and tissues
2. for oxygen in alveoli and oxygenated blood
3. for carbon dioxide in alveoli and oxygenated blood
4. for carbon dioxide in deoxygenated blood and tissues

87.

In haemodialysis, the cleared blood is pumped back to the body:
1. through a vein after adding heparin
2. through a vein after adding anti-heparin
3. through an artery after adding heparin
4. through an artery after adding anti-heparin

88.

Consider the two statements:

I.	The retina contains three layers of cells - from outside to inside – ganglion cells, bipolar cells, and photoreceptor cells.
II.	The macula of the semicircular canals and the crista of saccule and utricle are receptors of the vestibular apparatus.

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

89.

Dwarfism can be caused by the deficiency, during childhood, of:

I.	Growth hormone
II.	Thyroid hormones

1.	Only I and the dwarf will have normal mental development
2.	Only II and the dwarf will also be mentally retarded
3.	Both I and II and in both cases the mental development will be affected
4.	Both I and II and mental development will be effected only in II.

90. The arrow in the figure shows:

1.	Rete testis	2.	Caput epididymis
3.	Cauda epididymis	4.	Vasa efferentia

91. Which hormone, also called the ‘birth hormone’, initiates and sustains labour contractions during parturition?

1.	Progesterone	2.	Oxytocin
3.	Estrogen	4.	Relaxin

92. Copper releasing IUDs:

I:	are not effective as emergency contraceptives
II:	damage sperms and disrupt their motility

1. Both I and II are correct
2. Only I is correct
3. Only II is correct
4. Both I and II are incorrect

93. Which of the following tools of recombinant DNA technology is incorrectly paired with its use?

1.	DNA ligase	cutting DNA, creating sticky ends of restriction fragments
2.	DNA polymerase	polymerase chain reaction to amplify sections of DNA
3.	Electrophoresis	separation of DNA fragments
4.	Reverse transcriptase	production of cDNA from mRNA

94. Match each item in Column I with one in Column II and select the correct match from the codes given:

	Column-I		Column-II
A.	Number of genes on chromosome 1	P.	2968
B.	Number of genes on Y chromosome	Q.	Less than 2
C.	Percent of genome that codes for proteins	R.	Over 50
D.	Percent of discovered genes without known functions	S.	231

Codes:

	A	B	C	D
1.	P	S	Q	R
2.	S	P	Q	R
3.	P	S	R	Q
4.	S	P	R	Q

95. All the following are functions of lymph in the human body except:

1.	Helps in digestion of fats
2.	Returns proteins and excess interstitial fluid to the bloodstream
3.	Transports nutrients and hormones
4.	Helps in immunity against disease-causing agents

96. Consider the given statements regarding sponges:

I:	They have a cellular level of organisation
II:	Digestion is intracellular
III:	Fertilization is external and development is direct

1. Only I and II are correct
2. Only I and III are correct
3. Only II and III are correct
4. I, II and III are correct

97. Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A):	Lipids are macromolecules
Reason (R):	They have a molecular weight range of ten thousand Daltons and above.

In the light of the above statements choose the correct answer from the options given below:

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

98. Head of Periplaneta americana is formed by the fusion of:
1. 3 segments
2. 4 segments
3. 6 segments
4. 10 segments

99. In a healthy human adult, what contributes maximum to the total body weight?
1. Muscle
2. Bone
3. Fat
4. Hair

100. Which of the following conditions can be caused by exposure to allergens?
1. Asthma
2. Rheumatoid arthritis
3. Japanese encephalitis
4. Leukaemia

Chemistry - Section A

101.

The potential energy of an electron present in Li⁺² ion is given by:

1.	\(\dfrac{e^{2}}{2 \pi \varepsilon_{0} r^{}}\)	2.	\(\dfrac{3e^{2}}{4 \pi \varepsilon_{0} r^{}}\)
3.	\(\dfrac{-2e^{2}}{4 \pi \varepsilon_{0} r^{}}\)	4.	\(\dfrac{-3 e^{2}}{4 \pi \varepsilon_{0} r{}}\)

102.

When washing soda (Na₂CO₃ .10 H₂O ) is heated below 373 K then how many water of crystallisation are removed by washing soda ?
1. 5
2. 7
3. 9
4. 10

103.

Aluminium chloride exists as dimer, Al₂Cl₆, in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
1. Al³⁺ + 3Cl^-
2. [ Al(H₂O)₆]³⁺+ 3Cl^-
3. [Al(OH)₆]^3-+ 3HCl
4. Al₂O₃ + 6HCl

104. The vapour pressure of a solution is 2% less than the vapour pressure of pure water. The molality of the solution is approximately
1. 0.92
2. 1.11
3. 1.26
4. 1.52

105. Consider the reaction, A + B → Products. On keeping the concentration of B fixed and increasing the concentration of A 3 times, the rate of reaction increases 27 times. Now the concentration of A and B are both doubled and it is found that the rate of reaction becomes 8 times. The orders with respect to A and B, respectively, are:
1. 3 and 1
2. 2 and 1
3. 3 and 0
4. 2 and 0

106.

The plot that best represents the relationship between the extent of adsorption (\(x \over m\)) and pressure (P) is:
(x = mass of adsorbate(variable), m = mass of adsorbent (fixed))

1.		2.
3.		4.

107. In the metallurgy of copper, the slag formed is
1. CuSiO₃
2. FeSiO₃
3. FeS₂ + Cu₂S
4. CaSiO₃

108. The molecule that is not hydrolyzed by water at 25^oC is:
1. SF₄
2. SF₆
3. BF₃
4. SiCl₄

109. The spin-only magnetic moment of the [\(ZCl_4\)]²⁻complex is 3.87 BM.
Identify the metal ion represented by Z:

1.	Co	2.	Ni
3.	Mn	4.	Cu

110. The Crystal Field Stabilization Energy (CFSE) and the spin-only magnetic moment in Bohr Magneton (BM) for the complex K₃[Fe(CN)₆] are, respectively.
1. \(-2.0 \Delta_0 ~and ~ \sqrt {35}~ BM\)
2. \(-2.0 \Delta_0 ~and ~ \sqrt {3}~ BM\)
3. \(-0.4 \Delta_0 ~and ~ \sqrt {3} ~BM\)
4. \(-2.4 \Delta_0 ~and ~ \sqrt {35}~ BM\)

111. The correct order of acidity among nitrophenols is:
1. o- > m- > p-
2. o- > p- > m-
3. p- > m- > o-
4. p- > o- > m-

112. The compound that would react with Tollen's reagent is:

1.	CH₃CHO
2.
3.	HCOOH
4.	All of the above.

113. Lactose is a disaccharide composed of:

1.	\(\alpha - D-\)Glucose and \(\beta-D-\)Galactose
2.	\(\beta-D-\)Glucose and \(\beta-D-\)Galactose
3.	\(\beta - D-\)Glucose and \(\alpha-D-\)Galactose
4.	\(\alpha - D-\)Glucose and \(\alpha-D-\)Galactose

114. Nylon 2-Nylon-6 is a biodegradable polymer. The monomer units of Nylon 2-Nylon 6 is-
1. Glycine and caproic acid
2. Glycine and Amino caproic acid
3. Glycine and Hexamethylene diammine
4. Amino caproic acid and ethanoic acid

115. When salicylic acid is reacted with acetic anhydride then an analgesic as well as an antipyretic drug is formed. The name of this drug is-
1. Acetyl salicylic acid
2. 2-Acetoxybenzoic acid
3. Aspirin
4. All of the above

116. The number of unpaired electrons in Ni and Ni²⁺, respectively, are (Z of Ni = 28)
1. 2, 2
2. 2, 4
3. 2, 0
4. 4, 2

117. The bond order of B₂ is one. The type of bond and magnetic behavior of B₂, respectively, are:

1.	\(\sigma \) and diamagnetic	2.	\(\pi\) and diamagnetic
3.	\(\sigma \) and paramagnetic	4.	\(\pi\) and paramagnetic

118. Classical smog and photochemical smog behave, respectively, as
1. Oxidizing agent and reducing agent
2. Oxidizing agent and oxidizing agent
3. Reducing agent and oxidizing agent
4. Reducing agent and reducing agent

119. How many Faradays are required to deposit 127 grams of copper from a copper sulfate solution?
(Atomic weight of copper = 63.5)
1. 1 F
2. 2 F
3. 3 F
4. 4 F

120.

What is the total count of isomers, encompassing both geometrical and optical types, for the coordination compound [Pt(en)₂Cl₂]?

1.	Two (2)	2.	Three (3)
3.	Four (4)	4.	Five (5)

121. When alkyl halide is reacted with AgCN, then alkyl isocyanide is formed as a major product.
The reason for this reaction is:
1. AgCN is an electrovalent compound
2. AgCN is a covalent compound
3. In cyanide ion, nitrogen is more nucleophilic
4. Alkyl isocyanide is more stable than alkyl cyanide

122. Which of the following processes is endothermic?
1. \(O + e^- \rightarrow O^-\)
2. \(N + e^- \rightarrow N^-\)
3. \(Cl + e^- \rightarrow Cl^-\)
4. None of the above

123. For which of the following reaction, \(\Delta H < \Delta E \) ?

1.	\(N_2 (g) + 3H_2(g) \rightarrow 2NH_3 (g) \)
2.	\(PCl_5 (g) \rightarrow PCl_3(g) + Cl_2(g) \)
3.	\(H_2 (g) + I_2(g) \rightarrow 2HI(g) \)
4.	\(CaCO_3 (s) \rightarrow CaO (s) + CO_2 (g) \)

124. When 50% \(H_2SO_4\) solution is electrolysed, then \(H_2O_2\) and \(H_2\) will be evolved respectively at
1. cathode and anode
2. cathode and cathode
3. anode and cathode
4. anode and anode

125. Given below are two statements:

Statement I:	\(HCOOH\) is more acidic than \(C_6H_5COOH\)
Statement II:	\(CH_3COOH\) is less acidic than \(C_6H_5COOH\)

1.	Statement I is correct and Statement II is incorrect
2.	Statement I is incorrect and Statement II is incorrect
3.	Statement I is correct and Statement II is correct
4.	Statement I is incorrect and Statement II is correct

126. When but-2-yne is reacted with hydrogen in the presence of Lindlar's catalyst, the product formed is:

1.	Butane	2.	But-1-ene
3.	Cis-but-2-ene	4.	Trans-but-2-ene

127. On complete hydrolysis, \(XeF_6\) gives:
1. \(Xe\)
2. \(XeO_3\)
3. \(XeOF_4\)
4. \(XeO_2F_2\)

128. The carboxylic acid among the following that can give the Hell Volhard Zelinsky (HVZ) reaction is:
1. HCOOH
2. 2,2-Dimethyl propanoic acid
3. Benzoic acid
4. Propanoic acid

129. 10.6 gm \(Na_2CO_3 \) is dissolved in 250 ml \(H_2O \) . The molarity of \(Na^+ \) ions and \(CO^{2-}_3\) in this solution, respectively, are:
1. 0.4 M and 0.2 M
2. 0.8 M and 0.4 M
3. 0.4 M and 0.4 M
4. 0.4 M and 0.8 M

130. The molecular geometry of XeF₅⁺ will be:
1. Square pyramidal
2. Square planar
3. Trigonal bipyramidal
4. Octahedral

131. The correct relation for Van der Waals constants 'a' and 'b' for \(N_2\) and \(NH_3 \) will be
1. \(a_{N_2} > a_{NH_3}~~, b_{N_2} > b_{NH_3} \)
2. \(a_{N_2} < a_{NH_3}~~, b_{N_2} < b_{NH_3} \)
3. \(a_{N_2} > a_{NH_3}~~, b_{N_2} < b_{NH_3} \)
4. \(a_{N_2} < a_{NH_3}~~, b_{N_2} > b_{NH_3} \)

132. 100 ml of \(HCl\) (pH=1) is mixed with 150 ml of \(HCl\) (pH =2). The pH of the resulting solution will be:
(log 4.6 = 0.65)
1. 1.35
2. 1.5
3. 1.8
4. 1.9

133. In Caro's acid \((H_2SO_5)\), the oxidation number of 'S' will be?
1. +8
2. +7
3. +6
4. +5

134. In which of the following point defects, the density of crystal is unaffected?
1. Schottky defect
2. Frenkel defect
3. F-center defect
4. Metal deficiency defect

135. The monomer unit of cellulose is:
1. \(\alpha -\mathrm{D~ Glucose }\)
2. \(\beta -\mathrm{D~ Glucose }\)
3. \(\alpha -\text{D Glucose} + \beta-\text{D Glucose}\)
4. Fructose

Chemistry - Section B

136.

A compound with the formula C₄H₁₀O (x) can react with sodium. Upon vigorous oxidation, this compound yields a carboxylic acid with the formula C₄H₈O₂ (y). The compound (x) could be:
1. Ether
2. 2° Alcohol
3. 2° Alcohol
4. 1° Alcohol

137.

Assertion (A):	On hydrolysis, PCl₃ produces a dibasic oxyacid of phosphorous.
Reason (R):	H₃PO₂ is a dibasic acid.

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

138.

Which of the following compounds can show tautomerism?

1.		2.
3.		4.

1. I, II, III, IV
2. I and II
3. III and IV
4. Only II

139.

The correct order of stability of the following carbocations is:

I.
II.
III.
IV.

1. I > II > III > IV
2. IV > III > II > I
3. I > IV > III > II
4. I > IV > II > III

140.

Which of the following metals does not form a hydride?
1. Cr
2. Mo
3. Sc
4. Cu

141. If A (volatile solute) and B (volatile solvent) form an azeotropic mixture then the correct statement regarding the above azeotropic mixture will be -

1.	Mole fraction of A in the vapour phase is more than the mole fraction of A or B in liquid phase
2.	Mole fraction of A or B in the vapour phase is more than the mole fraction of A or B in liquid phase
3.	Mole fraction of A or B in the vapour phase is same as the mole fraction of A or B in liquid phase
4.	Mole fraction of A and B in the vapour phase is less than the mole fraction of A or B in liquid phase

142. Which metal evolves hydrogen gas when reacted with dilute HNO₃?

1.	Mn	2.	Zn
3.	Cu	4.	Fe

143. In a hydrogen concentration cell using solutions with pH 3 and pH 5, which pH belongs at the cathode to make the reaction spontaneous, and what is the resulting cell EMF respectively? ( Given:\(2.303 RT \over F\)=0.059)
1. Solution of pH = 3 and +0.118 V
2. Solution of pH = 5 and +0.118 V
3. Solution of pH = 3 and +0.059 V
4. Solution of pH = 5 and +0.059 V

144. A first-order reaction completes 20% in 10 minutes.
The time required for 99.9% completion of the reaction will be:
1. 100 minutes approximately
2. 200 minutes approximately
3. 300 minutes approximately
4. 400 minutes approximately

145. Which crystal system has all the four types of unit cell i.e., Simple, Body-centered, Face-centered, and End-centered?
1. Cubic
2. Hexagonal
3. Orthorhombic
4. Tetragonal

146. The nature of an aqueous solution of NaHCO₃ is:
1. Acidic
2. Alkaline
3. Slightly alkaline
4. Slightly acidic

147.

Assertion (A):	In freezing of water, \(\Delta H = -ve~~and ~~\Delta S = -ve \)
Reason (R):	For the spontaneity of freezing of water, \(\Delta H < T \Delta S \)

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

148. When an excess of Cl₂ reacts with CH₄in the presence of sunlight, the major product formed is:
1. \(CH_3Cl\)
2. \(CH_2Cl_2\)
3. \(CHCl_3\)
4. \(CCl_4\)

149. When \(ZnO\) is heated then it gives the appearance of yellow colour. It is due to
1. Metal excess defect
2. Metal deficiency defect
3. Schottky defect
4. Frenkel defect

150. Acetic acid dimerises in benzene solution. The value of Van't Hoff factor (i) for the dimerization of acetic acid is 0.6. Therefore, the percentage of dimerization of acetic acid will be:

1.	20%	2.	40%
3.	60%	4.	80%

Physics - Section A

151.

A block of mass \(m\) is suspended by means of a string, which passes over a massless pulley and is connected to a second block of mass, \({2m},\) sitting on a smooth horizontal table as shown. The system is released. The acceleration of the blocks (acceleration due to gravity is \(g\)) is:

1.	\(\dfrac g3\)	2.	\(\dfrac {2g}3\)
3.	\(\dfrac {g}2\)	4.	\(g\)

152.

The ratio \(C_P/C_V=1.5\) for a certain ideal gas. The gas is taken at an initial pressure of \(2\) kPa and compressed suddenly to \(\dfrac14\) of its initial volume. The final pressure is:
1. \(\dfrac12\) kPa
2. \(4\) kPa
3. \(8\) kPa
4. \(16\) kPa

153.

Two rods of identical dimensions are joined end-to-end, and the ends of the composite rod are kept at \(0^\circ\text{C}\) and \(100^\circ\text{C}\) (as shown in the diagram). The temperature of the joint is found to be \(40^\circ\text{C}.\) Assuming no loss of heat through the sides of the rods, the ratio of the conductivities of the rods \(\dfrac{K_1}{K_2}\) is:

1.	\(\dfrac32\)	2.	\(\dfrac23\)
3.	\(\dfrac11\)	4.	\(\dfrac{\sqrt3}{\sqrt2}\)

154.

The pressure of an ideal gas is written as \(p=\dfrac{2E}{3V},\) where \(E\) is the total kinetic energy, and \(V\) is the volume.
This statement is:

1.	always true.
2.	true for mono-atomic gases.
3.	always false.
4.	true for diatomic gases.

155.

A particle of mass \(m\) executes SHM along a straight line with an amplitude \(A\) and frequency \(f.\)

Assertion (A):	The kinetic energy of the particle undergoes oscillation with a frequency \(2f.\)
Reason (R):	Velocity of the particle, \(v = {\dfrac{dx}{dt}}\), its kinetic energy equals \({\dfrac 12}mv^2\) and the particle oscillates sinusoidally with a frequency \(f\).

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	(A) is False but (R) is True.

156.

If the absolute temperature of a gas is increased by \(1\text{%},\) the speed of sound in the gas:
1. increases by \(\sqrt{1} \text{%}\)
2. decreases by \(\sqrt{1} \text{%}\)
3. increases by \(1\text{%}\)
4. increases by \(0.5\text{%}\)

157. Identical point charges (\(q\) each), are placed at the eight corners of a cube of side \(a.\) When one of the charges is removed, the electric field at the center becomes \(E_c.\)
Now, identical point charges (same magnitude \(q\) each), are placed at the four corners of a square of side \(a.\) When one of the charges is removed, the electric field at the center becomes \(E_s.\) Then,

1.	\(\dfrac{E_s}{2}=\dfrac{E_C}{3}\)	2.	\(\dfrac{E_s}{3}=\dfrac{E_C}{2}\)
3.	\(\dfrac{E_s}{\sqrt2}=\dfrac{E_C}{\sqrt3}\)	4.	\(\dfrac{E_s}{\sqrt3}=\dfrac{E_C}{\sqrt2}\)

158. The capacitors are initially uncharged. The three points \(A,B,C\) are maintained at potentials \(V_A=4~\text{V},\) \(V_B=1~\text{V}\) and \(V_C=1~\text{V}.\) The potential at \(X,\) \(V_X=\)

1. \(2~\text V\)
2. \(1.5~\text V\)
3. \(3~\text V\)
4. \(0.5~\text V\)

159. The susceptibility of a paramagnetic material at 400 K is \(2 \times 10^{-5}\). The susceptibility would increase to \(2.5 \times 10^{-5}\) at a temperature of:
1. 500 K
2. 256 K
3. 320 K
4. 350 K

160. A rod \(XY\) of length \(l\) is placed in a uniform magnetic field \(B\), as shown in the diagram. The rod moves with a velocity \(v\), making an angle of \(60^\circ\)with its length. The EMF induced in the rod is:

1.	\(vBl\)	2.	\(\dfrac{vBl}{2}\)
3.	\(\dfrac{\sqrt 3}{2}vBl\)	4.	\(\dfrac{1}{\sqrt 3}vBl\)

161. A horizontal square loop of area \(A\) has \(n\) turns of wire. It is immersed in a uniform, rotating magnetic field \(B\) which is initially perpendicular to the plane of the loop. The field rotates with an angular speed \(\omega\) about a diagonal of the loop. The EMF induced across the loop is:

1.	constant, of magnitude \(n\omega BA\).
2.	increasing with time \(t\), of magnitude \(n\omega^2BAt\).
3.	decreasing with time \(t\), of magnitude \(\dfrac{nBA}{t}\).
4.	sinusoidal with time \(t\), of amplitude \(n\omega BA\).

162.

In the given scenario, the voltage, \(V_2 > V_1,\) and no current flow through the source on the left. The phase difference between the two sources is \(\phi.\)

Which of the following expressions correctly relates \(\phi\text{?}\)

1.	\(R\sin\phi= \dfrac{1}{\omega C}\)	2.	\(R\cos\phi= \dfrac{1}{\omega C}\)
3.	\(R\tan\phi= \dfrac{1}{\omega C}\)	4.	\(R\cot\phi= \dfrac{1}{\omega C}\)

163. Find the minimum order of a green fringe (\(\lambda = 500\) nm) which overlaps a dark fringe of violet (\(\lambda = 400\) nm) in a Young's double-slit experiment conducted with these two colours.
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)

164. The half-life of radioactive iodine, \(I^{131}\) is 8 days. A sample of iodine has an activity of 40 \(\mu Ci\). What will be its activity after 4 days?
1. 20 \(\mu Ci\)
2. 20\(\sqrt 2\) \(\mu Ci\)
3. 32 \(\mu Ci\)
4. 10 \(\mu Ci\)

165. All the resistances to the left of the vertical line \(PQ\) are \(1~\Omega\), while those on the right of line \(PQ\) are \(2~\Omega\) as shown in the figure above. The equivalent resistance between \(A\) and \(B\) is:

1.	\(18~\Omega\)	2.	\(9~\Omega\)
3.	\(4.5~\Omega\)	4.	\(2.25~\Omega\)

166. An electromagnetic waveform given by \(\vec{E}=E_{0} \hat{j} \sin \omega t\cos k x\) is set up in a certain region of space, where \(\vec{E}\) represents the electric field. The magnetic field associated with this waveform oscillates along the direction of:

1.	\(\hat {i}\)	2.	\(\hat {j}\)
3.	\(\hat{k} \)	4.	\(\hat{j} + \hat{k}\)

167. Calculate the dispersive power of a thin prism from the following data:

Colour		Deviation
Violet		\(2.04^\circ\)
Yellow		\(2.00^\circ\)
Red		\(1.96^\circ\)

1. \(0.04\)
2. \(0.02\)
3. \(25\)
4. \(50\)

168. A parallel beam of light is incident onto a convex lens and after passing through the lens, it gets reflected from a plane mirror and passes through the lens again. The focal length of the lens is \(f.\) Where should the mirror be placed so that the final beam emerges parallel?

1.	Just behind the lens.
2.	At the focus of the lens.
3.	At a distance of \(2f\) from the lens.
4.	At a distance of \(3f\) from the lens.

169. A muon is approximately \(200\) times heavier than an electron, but it is negatively charged, just like the electron. If a 'muonic'
\(\mathrm H\)-like atom is formed by a proton and a negative muon, assuming everything else except the mass to be the same, what will be the radius of the orbit for the ground state?
(assume the Bohr radius (\(\mathrm H\)-atom) to be \(r_\mathrm H\))
1. \(r_\mathrm{H}\)
2. \(r_\mathrm{H} \times 200\)
3. \(\dfrac{r_\mathrm{H} }{200}\)
4. \(r_\mathrm{H}(200)^2\)

170. The dimension of which group of quantities is the same?
\(h\) : Planck's constant, \(K\) : kinetic energy, \(\omega\) : angular speed/frequency, \(F\): force, \(L\) : inductance, \(i\) : current, \(q\) : charge, \(t\) : time, \(x\): distance
1. \(h, ~Ftx,~ Liq\)
2. \(K , h\omega , \omega Li\)
3. \(Fx, ~Li^2,~K \omega\)
4. \(\dfrac{Fx}{t} ,~ Kx, ~ ht\)

171. A particle is projected vertically upwards with a speed \(u\) and moves under the force of gravity. The distance travelled by the particle during its entire motion (until it returns) is \(d_1.\) If the force of gravity were to be switched off, and the particle travelled for the same length of time, then the distance travelled is \(d_2.\) Then,
1. \(d_2 = d_1\)
2. \(d_2 = 2d_1\)
3. \(d_2 = 3d_1\)
4. \(d_2 = 4 d_1\)

172. A particle starts to move along a straight line under a force that delivers constant power \(P,\) starting from rest. The velocity of the particle \(v\) varies with time \(t,\) as:
1. \(v \mathcal{} \propto t\)
2. \(v \propto \dfrac{1}{t}\)
3. \(v \propto \sqrt{t}\)
4. \(v \propto \dfrac{1}{\sqrt{t}}\)

173. A uniform rod \(AB\) of mass m and length \(L\) is replaced by three particles – two particles of masses \(m_1\) each at the ends and another particle of mass \(m_2\)at its centre. The new system of particles has the same total mass, the same center-of-mass and the same moment of inertia about an axis through its C.M. and perpendicular to \(AB.\)
If the moment of inertia of the new system of particles is measured about an axis passing through the end \(A,\) and perpendicular to \(AB\) then it is found to be \(I_2.\) For the rod, the same quantity is found to be \(I_1.\) Then

1. \(I_1 = 2I_2\)
2. \(I_2 = 2I_1\)
3. \(I_1 = I_2\)
4. \(I_1 = 3I_2\)

174. Two particles of masses \(m_1,~m_2\)are placed on the axis of a uniform circular ring of mass \(M\) and radius \(R,\) on opposite sides of the centre of the ring. The distances of \(m_1,~m_2\)from the centre of the ring are \(x_1,~x_2\) respectively, and \(x_1~ x_2 \ll R.\) The net force on the ring vanishes. Then,

1.	\(\dfrac{m_{1}}{x_{1}}=\dfrac{m_{2}}{x_{2}} \)	2.	\(\dfrac{m_{1}}{x_{1}^{2}}=\dfrac{m_{2}}{x_{2}^{2}} \)
3.	\(\dfrac{m_{1}}{x_{1}^{3}}=\dfrac{m_{2}}{x_{2}^{3}} \)	4.	\(m_{1} x_{1}=m_{2} x_{2} \)

175. A wooden block floats submerged at the interface of two liquids, the upper one of specific gravity \(0.4\) and the lower one being water (density: \(1\) g/cc). It is observed that the block has \(\dfrac{1}{3}\) of its volume in water and \(\dfrac{2}{3}\) of it in the upper liquid. The density of the block(in g/cc) is:
1. \(0.5\)
2. \(0.6\)
3. \(0.8\)
4. \(0.9\)

176. A current carrying circular loop of wire is placed in a magnetic field \(B\), which makes an angle \(\theta\) with the normal to the loop. The radius of the loop is \(r\), and the loop carries a current \(i\). The magnetic interaction energy of the current carrying loop is \(E_B\) and the torque on the loop has the magnitude \(\tau_B\).
Which of the following, is independent of \(\theta?\)

1.	\(E_B\cdot\tau_B\)	2.	\(\dfrac{E_B}{\tau_B}\)
3.	\(E_B^2+\tau_B^2\)	4.	\(E_B^2-\tau_B^2\)

177. A toroid has \(N\) turns of wire carrying current \(i\). The radius of the toroid is \(R\), while the radius of a turn (i.e. the cross-sectional radius) is \(r\), where \(r<<R\).
The flux through a cross-section of the toroid is proportional to:

1. \(\dfrac{Nr^2i}{R}\)
2. \(\dfrac{NR^2i}{r}\)
3. \(Nri\)
4. \(NRi\)

178. The magnetic field at a point (\(P\)) on the axis of a circular current carrying wire is \(\dfrac18\) of the field at its centre. The radius of the circular curve is \(R.\) The distance between \(P\) and the cente of the circle \((OP).\) is:

Then,

1.	\(OP=R\)	2.	\(OP=\dfrac R2\)
3.	\(OP=\sqrt3R\)	4.	\(OP=8R\)

179. The \(\alpha\) and \(\beta\) of a transistor satisfy the relation:
1.  \(\alpha+\beta=1\)
2.  \(\alpha(1-\beta)=\frac1\beta\)
3.  \((1-\alpha)\beta=\alpha\)
4.  \((1-\alpha)(1-\beta)=1\)

180. A boat is rowed across a \(400~\text m\) wide river so that it can reach the opposite bank in a minimum of \(10\) minutes. No matter which direction the boat is rowed in, it cannot reach a point exactly opposite on the other bank, unless it is rowed at a slightly higher speed. The speed of flow of the river is:

1.	\(2.4~\text{km/h}\)	2.	\(4.8~\text{km/h}\)
3.	\(2.4\sqrt2~\text{km/h}\)	4.	\(\dfrac{2.4}{\sqrt2}~\text{km/h}\)

181. The speed of sound in a gas at temperature \(T\) is \(v_s\) while the RMS speed of its molecules is \(v_r.\) The ratio of specific heats \((C_p/C_v)\) is equal to:

1.	\(\sqrt{3}\left(\dfrac{v_s}{v_r}\right )\)	2.	\(\dfrac{1}{\sqrt3}\Big(\dfrac{v_s}{v_r}\Big)\)
3.	\(3\Big(\dfrac{v_s}{v_r}\Big)^{2}\)	4.	\(\dfrac13\Big(\dfrac{v_s}{v_r}\Big)^2\)

182. A block of mass \(m\) slides down the smooth inclined surface of a wedge of mass \(M\) starting from rest. The wedge is at rest on the horizontal surface beneath it, due to friction. The acceleration of the center of mass of the system of the block and the wedge is:

1.	\(\dfrac{mg~\text{sin}\theta}{m+M}\)	2.	\(\dfrac{mg~\text{cos}\theta}{m+M}\)
3.	\(g~\text{sin}\theta\)	4.	zero

183. Four identical point charges (\(q\) each) are placed at the four corners of a square of diagonal \(d.\) The potential at a point which is at a distance \(\dfrac{d}{2}\) above the centre of the square is:
\(\Big(k=\dfrac{1}{4\pi\varepsilon_0}\Big)\)

1.	\(\dfrac{8~kq}{d}\)	2.	\(\dfrac{4~kq}{d}\)
3.	\(\dfrac{4\sqrt2~kq}{d}\)	4.	\(\dfrac{\sqrt2~kq}{d}\)

184. Ultraviolet photons, each of energy \(20~\text{eV},\) are incident onto a gas of \(\mathrm {H}\)-atoms, causing the emission of electrons. The kinetic energy of the emitted electrons has the value:
1. \(6.4~\text{eV}\)
2. \(7.2~\text{eV}\)
3. \(3.2~\text{eV}\)
4. \(13.6~\text{eV}\)

185. The input signals at \(A\) and \(B\) are as follows:
At \(A:\) \(0011010\)
At \(B:\) \(1001101\)

The output at \(Y\) is:
1. \(1001101\)
2. \(0011010\)
3. \(1101001\)
4. \(0110010\)

Physics - Section B

186.

The loss in weight of a lead block is \(3\) times in liquid \(A\) compared to that in liquid \(B\). In both cases, the block is half immersed. If \(\rho_A, \rho_B\) be the densities of the liquids and \(\rho_L\) the density of lead, then:

1.	\(3\rho_A=\rho_B\)	2.	\(\dfrac32\rho_A=\rho_B\)
3.	\(\rho_A=\dfrac32\rho_B\)	4.	\(\rho_A=3\rho_B\)

187.

A metal ball of mass \(2~\text{kg}\) is heated by a \(30~\text{W}\) heater, in a room at \(20^{\circ}\text{C}.\) The temperature of the metal becomes steady at \(50^{\circ}\text{C}.\) If the ball was kept in a room at \(20^{\circ}\text{C}\) while maintaining a temperature of \(10^{\circ}\text{C},\) the rate at which heat must be removed from the ball is:
1. \(20~\text{W}\)
2. \(10~\text{W}\)
3. \(5~\text{W}\)
4. \(1~\text{W}\)

188.

A simple pendulum of time period \(T_0\) is taken in a rocket which is accelerating upwards initially and then, after some time, it moves with uniform velocity upward. The time period of the pendulum is observed within the rocket and is found to be \(2T_0.\) The rocket, at that time, must be at a distance (above the earth's surface) of (radius of earth = \(R\)) is:
1. \(\dfrac{R}{2}\)
2. \(\dfrac{R}{4}\)
3. \(R\)
4. \(4R\)

189. A rope of uniform mass per unit length \(\mu\) is suspended from the ceiling, hanging under its own weight. If a small transverse pulse is formed at its lower end \(A\), it travels upward with a local speed \(v=\sqrt {\dfrac{\text{tension}}{\text{mass/length}}}\).

The speed of the pulse is:

1.	maximum at \(A,\) minimum at \(O\)
2.	minimum at \(A,\) maximum at \(O\)
3.	uniform
4.	minimum at \(A\) and \(O,\) maximum in the middle

190. Two capacitors, one of \(3~\mu\text{F}\) and the other of \(1~\mu\text{F}\) are charged to \(2~\text{V},\) \(4~\text{V}\) and are connected to each other in either of the two ways: their like terminals together \((A)\) or unlike (i.e. oppositely charged) terminals together \((B).\) The potential differences are \(V_A, V_B\) in these cases. Then:

1.	\(V_A= 2V_B\)	2.	\(V_A= 4V_B\)
3.	\(V_A=5V_B\)	4.	\(V_A = 6V_B\)

191. In the circuit shown in the diagram, the resistance \(r\) is unknown but fixed. The EMF \(E\) can be varied and the current \((i)\) passing through the ammeter \({(A)}\) can be measured in magnitude only.

When the EMF \(E\) is negligible (i.e. practically zero) the ammeter reading will:

1.	be \(5~\text{A},\) independent of \(r\)
2.	be \(2.5~\text{A},\) independent of \(r\)
3.	be less than \(5~\text{A},\) decreasing with \(r\)
4.	be more than \(5~\text{A},\) increasing with \(r\)

192. The inputs \(A\) and \(B\) can be set to \(+5~\text V\) (representing logic \(1\)) or \(0~\text V\) (representing logic \(0\)). Then, the circuit in the figure below represents:

1.	OR - gate	2.	AND - gate
3.	NOR - gate	4.	NAND - gate

193. A long current-carrying solenoid produces a magnetic field \(B\) at its centre, \(O\). When a current-carrying wire is placed parallel to the axis of the solenoid, the field at \(O\) has the magnitude \(2B\). The field due to wire has the magnitude (at \(O\)) of:

1.	\(B\)	2.	\(3B\)
3.	\(\dfrac {B} {\sqrt3}\)	4.	\(\sqrt 3~ B\)

194. Photons of light of wavelength, \(\lambda=400\) nm are incident on a composite photocathode consisting of multiple regions with metals having work functions of \(2.1\) eV and \(1.1\) eV. The emitted photoelectrons are sent through a retarding potential difference, \(V_0\). What is the minimum value of \(V_0\) required to stop all electrons? (take: \(hc=1240\) eV-nm)

1.	\(1\) V	2.	\(1.5\) V
3.	\(2\) V	4.	\(5.2\) V

195. Two identical equilateral triangular prisms, each of which gives a minimum deviation of \(60^{\circ}\) are taken: call these prisms \(A,B\). These are placed as shown in the figure, and a ray of light is incident on prism \(A\) at minimum deviation. Now prism \(B\) is cut in half, along the dotted line, and the right half is removed. The deviation of the emerging ray is:

1.	\(90^{\circ}\)	2.	\(45^{\circ}\)
3.	\(60^{\circ}\)	4.	\(30^{\circ}\)

196. Two particles \(A\), \(B\) are projected simultaneously from the base of a triangle \(ABC\). Particle \(A\) is projected from vertex \(A\) along \(AC,\) and particle \(B\) is projected from vertex \(B\) along \(BC\). Their respective velocities are \(v_A\) & \(v_B\) and they move with uniform velocities. For the particles to collide:

1.	\(v_A~\text{cos}A=v_B~\text{cos}B\)
2.	\(v_A~\text{sin}A=v_B~\text{sin}B\)
3.	\(\dfrac{v_A}{\text{sin}A}=\dfrac{v_B}{\text{sin}B}\)
4.	\(v_A~\text{tan}A=v_B~\text{tan}B\)

197. A simple pendulum of length \(L\) is suspended from a point \(O\) in a rocket which is ready to be launched from earth. The rocket takes off with an upward acceleration equal to \(g.\) Immediately after take off, the bob of the pendulum is given a horizontal velocity so that it just completes a vertical circle. The bob's speed (relative to the rocket) at its highest point is \(v_H,\) where:

1. \(v_H=\sqrt{gL}\)
2. \(v_H=\sqrt{2gL}\)
3. \(v_H=\sqrt{3gL}\)
4. \(v_H=\sqrt{5gL}\)

198. Select the correct option based on statements below.
A Carnot engine works between two thermal reservoirs maintained at absolute temperatures \(T_{\text{high}}\) and \(T_{\text{low}}\).

Assertion (A):	If the efficiency of the engine is \(\frac1n,\) then the coefficient of performance of the reversed cycle working as a refrigerator is \(n-1\).
Reason (R):	The efficiency of Carnot's cycle is \(1-\frac{T_{\text{low}}}{T_{\text{high}}},\) while the coefficient of performance of the reversed cycle is \(\frac{T_{\text{low}}}{T_{\text{high}~-~T_{\text{low}}}}\).

1.	(A) is True but (R) is False.
2.	(A) is False but (R) is True.
3.	Both (A) and (R) are True and (R) is the correct explanation of (A).
4.	Both (A) and (R) are True but (R) is not the correct explanation of (A).

199. The two blocks \(A,B\) have identical masses and are placed on a smooth horizontal plane. The pulley \(P\) is light, and is rigidly connected to the block \(A\) by means of a horizontal light rod. The string connecting block \(B\) is also horizontal. A force \(F\) is acting vertically on the string, and the two blocks move horizontally. The force on \(A\) due to rod is:

1. \(F\)
2. \(2F\)
3. \(\sqrt2F\)
4. \(\dfrac{F}{\sqrt2}\)

200. The bob (mass : \(m\)) of a simple pendulum is suspended from a long wire of length \(L.\) When this bob is submerged in a fluid of density \(\rho,\) it is observed by means of a careful measurement that the extension in the wire is halved. The volume of the bob is:

1.	\(\dfrac{m}{\rho}\)	2.	\(\dfrac{2m}{\rho}\)
3.	\(\dfrac{m}{2\rho}\)	4.	\(\dfrac{3m}{2\rho}\)

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