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The DNA molecule to which the gene of interest is integrated for cloning is called:

Read the different components from I to IV in the list given below and tell the correct order of the components with reference to their arrangement from the outer side to the inner side in a woody dicot stem.

The correct order is:

Chromatophores take part in?
1. Photosynthesis
2. Growth
3. Movement
4. Respiration

Which of the following joints would allow no movement?
1. Fibrous joint
2. Cartilaginous joint
3. Synovial joint
4. Ball and socket joint

The wheat grain has an embryo with one large, shield-shaped cotyledon known as?
1. epiblast
2. coleorrhiza
3. scutellum
4. coleoptile

A gene showing co-dominance has?

Which of the following structure is not found in a prokaryotic cell?
1. Nuclear envelope
2. Ribosome
3. Mesosome
4. Plasma membrane

The term "linkage" was coined by?
1. T.H. Morgan
2. T.Boveri
3. G.Mendel
4. W.Sutton

The imperfect fungi which are decomposers of litter and help in mineral cycling belong to?
1. Deuteromycetes
2. Basidiomycetes
3. Phycomycetes
4. Ascomycetes

Match the columns and identify the correct option. 

1. A → (iv), B → (iii), C → (i), D → (ii)
2. A → (iii), B → (iv), C → (i), D → (ii)
3. A → (iii), B → (i), C → (iv), D → (ii)
4. A → (iii), B → (iv), C → (ii), D → (i)

Select the wrong statement:

During biological nitrogen fixation, inactivation of nitrogenase by oxygen poisoning is prevented by?
1. Leghaemoglobin
2. Xanthophylls
3. Carotene
4. Cytochrome

The species confined to a particular region and not found elsewhere are termed as:

Which one of the following hormones is not involved in sugar metabolism?
1. Cortisol
2. Aldosterone
3. Insulin
4. Glucagon

Which of the following is not a function of the skeletal system?
1. Production of erythrocytes
2. Storage of minerals
3. Production of body heat
4. Locomotion

Which one of the following is not applicable to RNA?
1. Complementary base pairing
2. 5' phosphoryl and 3' hydroxyl ends
3. Heterocyclic nitrogenous bases
4. Chargaff's rule

Which one is the wrong statement?

A childless couple can be assisted to have a child through a technique called GIFT. The full form of this technique is?
1. Gamete Inseminated Fallopian Transfer
2. Gamete Intra Fallopian Transfer
3. Gamete Internal Fertilisation and Transfer
4. Germ Cell Internal Transfer

The wings of a bird and the wings of an insect are:

Golden rice is a genetically modified crop plant where the incorporated gene is meant for the biosynthesis of:

Outbreeding is an important strategy in animal husbandry because it:

Which one of the following hormones though synthesised elsewhere, is stored and released by the master gland?
1. Melanocyte-stimulating hormone
2. Antidiuretic hormone
3. Luteinizing hormone
4. Prolactin

An association of individuals of different species living in the same habitat and having functional interactions is known as:

In which of the following, do both pairs have the correct combination?

Identify the correct order of organization of genetic material from largest to smallest.
1. Chromosome, gene, genome, nucleotide
2. Genome, chromosome, nucleotide, gene
3. Genome, chromosome, gene, nucleotide
4. Chromosome, genome, nucleotide, gene

A jawless fish, which lays eggs in freshwater and whose ammocoetes larvae after metamorphosis return to the ocean is?
1. Eptratretus
2. Myxine
3. Neomyxine
4. Petromyzon

Industrial melanism is an example of?
1. Neo Darwinism
2. Natural Selection
3. Mutation
4. Neo Lamarckism

Cell wall is absent in:
1. Nostoc
2. Aspergillus
3. Funaria
4. Mycoplasma

The chitinous exoskeleton of arthropods is formed by the polymerization of?
1. Keratine sulphate and chondroitin sulphate
2. D-glucosamine
3. N-acetyl glucosamine
4. Lipoglycans

Filiform apparatus is a characteristic feature of?
1. Generative cell
2. nucellar embryo
3. aleurone cell
4. synergids

In angiosperms, microsporogenesis and megasporogenesis?
1. Occur in anther
2. Form gametes without further divisions
3. Involve meiosis
4. Occur in ovule

Metagenesis refers to?

Which of the following immunoglobulins constitute the largest percentage in human milk?
1. IgD
2. IgM
3. IgA
4. IgG

Destruction of the anterior horn cells of the spinal cord would result in loss of?
1. Sensory impulses
2. Voluntary motor impulses
3. Commissural impulses
4. Integrating impulses

The cutting of DNA at specific locations became possible with the discovery of?
1. Restriction enzymes
2. Probes
3. Selectable markets
4. ligases

In the following human pedigree, the filled symbols represent the affected individuals. Identify the type of given pedigree: 

1. Autosomal dominant
2. X-linked recessive
3. Autosomal recessive
4. X-linked dominant

A colour-blind man marries a woman with normal sight who has no history of colour blindness in her family. What is the probability of their grandson being colour blind? (consider the grandsons only through son)
1. 0.5
2. 1
3. Nil
4. 0.25

Flowers are unisexual in?
1. Pea 
2. Cucumber
3. China rose
4. Onion

Roots play an insignificant role in the absorption of water in:
1. Sunflower 
2. Pistia
3. China rose
4. Wheat

Balbiani rings are sites of?
1. Lipid synthesis
2. Nucleotide synthesis
3. Polysaccharide synthesis
4. RNA and protein synthesis

Which of the following pairs is not correctly matched? 

1. a
2. b
3. c
4. d

Ectopic pregnancies are referred to as?

Choose the wrong statement:

The function of the gap junction is to?

Axile placentation is present in?
1. Dianthus 
2. Lemon
3. Pea
4. Argemone

Which of the following is not membrane-bound?
1. Vacuoles
2. Ribosomes
3. Lysosome
4. Mesosomes

In his classic experiments on pea plants Mendel did not use?
1. Seed color
2. Pod length
3. Seed shape
4. Flower position

During ecological succession:

The body cells in cockroaches discharge the nitrogenous waste in the hemolymph mainly in the form of?
1. Ammonia
2. Potassium urate
3. Urea
4. Calcium carbonate

Which of the following biomolecules have a phosphodiester bond?
1. Fatty acids in a diglyceride
2. Monosaccharides in a polysaccharide
3. Amino acids in a polypeptide
4. Nucleic acids in a nucleotide

The UN Conference of Parties on climate change in the year 2012 was held at?
1. Durban
2. Doha
3. Lima
4. Warsaw

Arrange the following events of meiosis in a correct sequence:
I. Crossing over 
II. Synapsis 
III. Terminalisation of chiasmata 
IV. Disappearance of nucleolus

Root pressure develops due to?
1. Active absorption
2. Low osmotic potential in Soil
3. Passive absorption
4. Increase in transpiration

Which one of the following animals has two separate circulatory pathways?
1. Frog
2. Lizard
3. Whale
4. Shark

Which of the following events is not associated with ovulation in human females?
1. Decrease in Oestradiol
2. Full development of Graafian follicle
3. Release of secondary oocyte
4. LH Surge

Most animals that are in deep oceanic water are?
1. Primary consumers
2. Secondary consumers
3. Tertiary consumers
4. Detritivores

If you suspect a major deficiency of antibodies in a person, to which of the following would you look for confirmatory evidence?
1. Fibrinogin in plasma
2. Serum albumins
3. Haemocyres
4. Serum globulins

The structures that help some bacteria to attach to rocks and/or host tissues are?
1. Rhizoids
2. Fimbriae
3. Mesosomes
4. Holdfast

An increase in the concentration of the toxicant at successive trophic levels is known as:
1. Biomagnifications
2. Biodeterioration
3. Biotransformation
4. Biogeochemical cycling

Body having meshwork of cells, internal cavities lined with food filtering flagellated Cells and indirect development is the characteristics of phylum?
1. Coelenterata
2. Porifera
3. Mollusca
4. Protozoa

The oxygen evolved during photosynthesis comes from water molecules. Which one of the following pairs of elements are involved in this reaction?
1. Manganese and chlorine
2. Manganese and potassium
3. Magnesium and molybdenum
4. Magnesium and chlorine

The primary dentition in humans differs from permanent dentition in not having one of the following types of teeth:
1. Canine
2. Premolars
3. Molars
4. Incisors

Coconut water from a tender coconut is?
1. Immature embryo
2. Free nuclear endosperm
3. Innermost layers of the seed coat
4. Degenerated nucellus

Which of the following layers in an antral follicle is acellular?
1. Granulosa
2. Theca interna
3. Stroma
4. Zona pellucida

The introduction of t-DNA into plants involves?
1. Infection of the plant by Agrobacterium tumefaciens
2. Altering the pH of the soil, heat-shocking the plants
3. Exposing the plants to Cold for a brief period
4. Allowing the plant roots to stand in water

In which group of organisms the Cell walls form two thin overlapping shells which fit together?

Human urine is usually acidic because?
 

In photosynthesis, the light-independent reactions take place at?
1. Thylakoid lumen
2. photosystem I
3. photosystem II
4. Stromal matrix

In the mammalian eye, the ‘fovea’ is the center of the visual field, where?
1. high density of cones occur, but has no rods
2. the optic nerve leaves the eye
3. only rods are present
4. more rods than cones are found

Pick up the wrong statement.

Among China rose, mustard, brinjal, potato, guava, cucumber, onion and tulip, how many plants have superior ovary?
1. Five
2. Six
3. Three
4. Four

Name the pulmonary disease in which alveolar surface area involved in gas exchange is drastically reduced due to damage in the alveolar walls.
1. Pleurisky
2. Emphysema
3. Pneumonia
4. Asthma

A column of water within xylem vessels of tall trees does not break under its weight because of?
1. Dissolved sugar in water
2. Tensile strength of water
3. Lignification of xylem vessels
4. Positive root pressure

Acid rain is caused by increases in the atmospheric concentration of?
1. $S{O}_2$ $and$ $N{O}_2$
2. $S{O}_3$ $and$ $CO$
3. $C{O}_2$ $and$ $CO$
4. $O_3$ $and$ $dust$

The enzyme that is not present in succus entericulus is?
1. maltase.
2. nucleases.
3. nucleosidases.
4. lipases.

In which of the following interactions both partners are adversely affected?

Match the following list of microbes and what they are used for:

1. A-3, B-4, C-1, D-2
2. A-4, B-3, C-2, D-1
3. A-4, B-2, C-1, D-3
4. A-3, B-1, C-4, D-2

A pleiotropic gene:

A protoplast is a cell:
1. Without plasma membrane
2. Without nucleus
3. Undergoing division
4. Without cell wall

Which of the following are most suitable indicators of SO₂ pollution in the environment?
1. Lichens
2. Conifers
3. Algae
4. Fungi

Grafted kidney may be rejected in a patient due to?
1. Humanol immune response
2. Cell-mediated immune response
3. Passive immune response
4. Innate immune response

Which one of the following fruits is parthenocarpic?
1. Brinjal
2. Apple
3. Jackfruit
4. Banana

Which of the following diseases is caused by a protozoan?
1. Syphilis
2. Influenza
3. Babesiosis
4. Blastomycosis

In human females, meiosis-II is not completed until?

Male gametophyte in angiosperms produces?
1. Two sperms and a vegetative cell
2. Single sperm and a vegetative cell
3. Single sperm and two vegetative cells
4. Three sperms

Doctors use a stethoscope to hear the sounds produced during each cardiac cycle. The second sound is heard when:

Auxin can be bioassayed by?
1. Avena coleoptiles curvature
2. Hydroponics
3. Ptometer
4. Lettuce hypocotyl elongation

Satellite DNA is important because it:

Cellular organelles with membranes are:
1. Nucleus, ribosome and mitochondria
2. Chromosomes, ribosomes and endoplasmic reticulum
3. Endoplasmic reticulum, ribosome and nuclei
4. Lysosomes, Golgi apparatus and mitochondria

Eutrophication of water bodies leading to the killing of fishes is mainly due to non-availability of:
1. Food
2. Light
3. Essential minerals
4. Oxygen

In which of the following pairs, both the species are not isostructural?
1. \(\mathrm{SiCl}_4, \mathrm{PCl}_4^{+}\)
2. Diamond, silicon carbide
3. \(\mathrm{NH}_3, \mathrm{PH}_3\)
4. \(\mathrm{XeF}_4, \mathrm{XeO}_4\)
 

The esters that get hydrolyzed most easily under alkaline conditions is?

1.
2.
3.
4.

The reaction of phenol with chloroform in the presence of dilute sodium hydroxide finally introduces a functional group X. The X is:
1. -CH₂Cl
2. -COOH
3. -CHCl₂
4. -CHO

Alkyl halides prepared by among the following reaction(s) is/are:
 

The correct statement about the S_N1 reaction is:

Which of the following is not the product of dehydration of?

1.		2.
3.		4.

A compound that releases CO₂ most easily upon heating is?
1. $K_{2}C{O}_3$
2. $N{a}_{2}C{O}_3$
3. $MgC{O}_3$
4. $CaC{O}_3$

HCl with an alkene X reacts in accordance with Markovnikov’s rule to give 1-Chloro-1-methylcyclohexane. The structure of alkene (X) is:

1.		2.
3.	(1) and (2)	4.

The number of possible isomers for the complex $\left[\mathrm{Co}{\left(\mathrm{en}\right)}_2{\mathrm{Cl}}_2\right]Cl$ will be (en=ethylenediamine):
1. 2
2. 1
3. 3
4. 4

A gas such as carbon monoxide would be most likely to obey the ideal gas law at?
1. High temperature and low pressure
2. Low temperature and high pressure
3. High temperature and high pressure
4. Low temperature and low pressure

If Avogadro number \(N_{A}\), is changed from$\mathrm{}$ \(6 . 022 \times \left(10\right)^{23}\)\(\text{mol}^{- 1}\) to \(6 . 022 \times \left(10\right)^{20} ~\text{mol}^{- 1}\) this would change:

Gadolinium belongs to 4f series. It’s atomic number is 64. Which of the following is the correct electronic configuration of gadolinium?
1. $\left[Xe\right]4 f^8 6d^2$
2. $\left[Xe\right]4 f^9 5s^1$
3. $\left[Xe\right]4 f^7 5d^{1}6s^2$
4. $\left[Xe\right]4 f^6 5d^{2}6s^2$

When equal volumes of 0.1 M NaOH and 0.01 M HCl are mixed, then the pH of the resulting solution will be:

The decreasing order of stability of ${\mathrm{O}}_2,{\mathrm{O}}_2^{-},{\mathrm{O}}_2^{+}$ $\mathrm{and}$ ${\mathrm{O}}_2^{2-}$is: 
1. ${\mathrm{O}}_2^{+}>{\mathrm{O}}_2>{\mathrm{O}}_2^{-}>{\mathrm{O}}_2^{2-}$
2. ${\mathrm{O}}_2^{2-}>{\mathrm{O}}_2^{-}>{\mathrm{O}}_2>{\mathrm{O}}_2^{+}$
3. ${\mathrm{O}}_2>{\mathrm{O}}_2^{+}>{\mathrm{O}}_2^{2-}>{\mathrm{O}}_2^{-}$
4. ${\mathrm{O}}_2^{-}>{\mathrm{O}}_2^{2-}>{\mathrm{O}}_2^{+}>{\mathrm{O}}_2$

The correct statement regarding defects in a crystalline solid is:

Which of the following statements is not correct for a nucleophile?
1. Nucleophile is a Lewis acid.
2. Ammonia is a nucleophile.
3. Nucleophiles attack low electron density sites.
4. Nucleophiles are not electron-seeking.

The hybridization involved in the complex ${\left[\mathrm{Ni}{\left(\mathrm{CN}\right)}_4\right]}^{2-}$is:
(Atomic number of Ni=28)
1. $ds{p}^2$
2. $s{p}^3$
3. $d^{2}s{p}^2$
4. $d^{2}s{p}^3$

The stability of +1 oxidation state among Al, Ga, In and Tl increases in the sequence?
1. Ga < ln < Al < Tl
2. Al < Ga < ln < Tl
3. Tl < ln < Ga < Al
4. ln < Tl < Ga < Al

The sum of the coordination number and oxidation number of the metal M in the complex [M(en)₂(C₂O₄)]Cl is:

Which of the statements given below is incorrect?
1. \(\mathrm{C l_{2} O_{7  }}\)${}_{}$is an anhydride of perchloric acid
2. \(\mathrm{O_{3}}\)${\mathrm{}}_{}$ molecule is bent
3. ONF is isoelectronic with \(\mathrm{N O_{2}^{-}}\)${}_{}^{}$ 
4. \(\mathrm{O F_{2}}\) is an oxide of fluorine

In the extraction of copper from its sulphide ore, the metal is finally obtained by the reduction of cuprous oxide with?
1. Iron(II) sulphide
2. Carbon monoxide
3. Copper(I) sulphide
4. Sulphur dioxide

An acidic buffer cannot be formed by which of the following combinations is:
1. ${\mathrm{HClO}}_4$ $\mathrm{and}$ ${\mathrm{NaClO}}_4$
2. ${\mathrm{CH}}_3\mathrm{COOH}$ $\mathrm{and}$ ${\mathrm{CH}}_3\mathrm{COONa}$
3. ${\mathrm{H}}_2{\mathrm{CO}}_3$ $\mathrm{and}$ ${\mathrm{Na}}_2{\mathrm{CO}}_3$
4. ${\mathrm{H}}_3{\mathrm{PO}}_4$ $\mathrm{and}$ ${\mathrm{Na}}_3{\mathrm{PO}}_4$

Assuming complete ionization, same moles of which of the following compounds will require the least amount of acidified KMnO₄ for complex oxidation?
1. $FeS{O}_4$
2. $FeS{O}_3$
3. $Fe{C}_2{O}_4$
4. $Fe{\left(N{O}_2\right)}_2$

The number of structural isomers possible from the molecular formula C₃H₉N is?
1. 4
2. 5
3. 2
4. 3

20.0 g of a magnesium carbonate sample decomposes on heating to give carbon dioxide and 8.0 g of magnesium oxide.
The percentage purity of magnesium carbonate in the sample will be: 
(Atomic weight of Mg=24)

Two possible stereo-structures of CH₃CHOH.COOH, that are optically active, called:

The heat of combustion of carbon to CO₂ is –393.5 KJ/mol. The heat changed upon the formation of 35.2 g of CO₂ from carbon and oxygen gas is:
1. –315 KJ
2. +315 KJ
3. –630 KJ
4. +630 KJ

The rate Constant of reaction A $\to$ B is 0.6 × 10^–3 mole per second. If the Concentration of A is 5, then the concentration of B after 20 min is:
1. 1.08M
2. 3.60M
3. 0.36M
4. 0.72M

The formation of the oxide ion O^2– (g), from the oxygen atom requires first an exothermic and then an endothermic step as shown below, 
$\mathrm{O}\left(\mathrm{g}\right)+{\mathrm{e}}^{-}\to {\mathrm{O}}^{-};$ ${∆}_{\mathrm{f}}{\mathrm{H}}^0=–141$ $\mathrm{kJ}$ ${\mathrm{mol}}^{-1}$
${\mathrm{O}}^{-}\left(\mathrm{g}\right)+{\mathrm{e}}^{-}\to {\mathrm{O}}^{2-}\left(\mathrm{g}\right);$ ${∆}_{\mathrm{f}}{\mathrm{H}}^0=+780$ $\mathrm{kJ}$ ${\mathrm{mol}}^{-1}$
Thus, the process of formation of O^2– in the gas phase is unfavorable even though O^2– is isoelectronic with neon. It is due to the fact that:

What is the mass of precipitate formed when 50 mL of 16.9% solution of AgNO₃ is mixed with 50 mL of 5.8% NaCl solution? (Ag = 107.8, N = 14, O = 16, Na= 23, Cl = 35.5)
1. 28 g
2. 3.5 g
3. 7 g
4. 14 g

Which is the correct order of increasing energy of the listed orbitals in the atom of titanium?
1. 3s 4s 3p 3d
2. 4s 3s 3p 3d
3. 3s 3p 3d 4s
4. 3s 3p 4s 3d

The reaction of a carbonyl compound with one of the following reagents involves nucleophilic addition followed by the elimination of water. The reagents are:

The variation of the boiling point of the hydrogen halides is in the order HF > HI > HBr > HCl. 
The higher boiling point of hydrogen fluoride is explained as:

The IUPAC name of complex ion, [Fe(CN)₆]^3- is:
1. Hexacyanoiron(III) ion
2. Hexacyanitoferrate(III) ion
3. Tricynoferrate(III) ion
4. Hexacyanidoferrate(III) ion

Mark the reaction that does not yield aniline from the given options:

If the equilibrium constant for N₂(g) + O₂ (g) ⇄ 2NO(g) is K, the equilibrium constant for \(\frac{1}{2}\)N₂(g) + \(\frac{1}{2}\)O₂(g) ⇄ NO(g) will be?
1. $K^{\frac{1}{2}}$
2. $\frac{1}{2}K$
3. K
4. $K^2$

The strong reducing behaviour of H₃PO₂ is due to:
1. Presence of one -OH group and two P-H bonds.
2. High electron gain enthalpy of phosphorus.
3. High oxidation state of phosphorus.
4. Presence of two -OH groups and one P-H bond.

2,3-dimethyl-2-butene can be prepared by heating which of the following compounds with a strong acid?
1. ${\left({\mathrm{CH}}_3\right)}_2\mathrm{CH}-\underset{{\mathrm{CH}}_3}{\underset{|}{\mathrm{CH}}}-\mathrm{CH}={\mathrm{CH}}_2$
2. ${\left({\mathrm{CH}}_3\right)}_{3}C-CH=C{H}_2$
3. ${\left({\mathrm{CH}}_3\right)}_{2}C=CH-C{H}_2-C{H}_3$
4. ${\left({\mathrm{CH}}_3\right)}_{2}CH-C{H}_2-CH=C{H}_2$

Aqueous solution of which of the following compounds is the best conductor of electric current?
1. Acetic acid, \(\mathrm{C_{2} H_{4} O_{2}}\)${\mathrm{}}_{}$
2. Hydrochloric acid, \(\mathrm{HCl}\)
3. Ammonia, \(\mathrm{N H_{3}}\)${\mathrm{}}_{}$
4. Fructose, \(\mathrm{C_{6} H_{12} O_{6}}\)${\mathrm{}}_{}$
 

The vacant space in the BCC lattice cell is: 
1. 26%
2. 48%
3. 23%
4. 32%

Calculate  the mole fraction of the solute in a 1.00 m aqueous solution.
1. 0.177
2. 0.771
3. 0.0534
4. 0.0177

The oxidation of benzene by V₂O₅ in the presence of air produces?
1. Benzoic anhydride
2. Maleic anhydride
3. Benzoic acid
4. Benzaldehyde

Caprolactam is used for the manufacture of:
1. Nylon - 6
2. Teflon
3. Terylene
4. Nylon - 6, 6

What is the name of the following reaction?

1. Friedel-Crafts reaction
2. Perkins reaction
3. Acetylation reaction
4. Schotten-Baumann reaction

The number of water molecules is maximum in?

The cylindrical tube of a spray pump has a radius \(R,\) one end of which has \(n\) fine holes, each of radius \(r.\) If the speed of the liquid in the tube is \(v,\) the speed of the ejection of the liquid through the holes is:
 

Point masses \(m_1\) and \(m_2\), are placed at the opposite ends of a rigid rod of length \(L\) and negligible mass. The rod is set into rotation about an axis perpendicular to it. The position of point \(P\) on this rod through which the axis should pass so that the ork required to set the rod rotating with angular velocity ${\mathrm{\omega }}_0$ is minimum is given by:
     

Moving perpendicular to field \(B\), a proton and an alpha particle both enter an area of uniform magnetic field \(B\). If the kinetic energy of the proton is \(1~\text{MeV}\) and the radius of the circular orbits for both particles is equal, the energy of the alpha particle will be:
1. \(4~\text{MeV}\)
2. \(0.5~\text{MeV}\)
3. \(1.5~\text{MeV}\)
4. \(1~\text{MeV}\)

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^\circ\), the box starts to slip and slides \(4.0\) m down the plank in \(4.0\) s. The coefficients of static and kinetic friction between the box and the plank will be, respectively:
              

An ideal gas is compressed to half its initial volume using several processes. Which of the processes results in the maximum work done on the gas?
1. adiabatic
2. isobaric
3. isochoric
4. isothermal

A ball is thrown vertically downward from a height of \(20\) m with an initial velocity \(v_0\). It collides with the ground, loses \(50\%\) of its energy in a collision, and rebounds to the same height. The initial velocity \(v_0\) is: 
(Take, \(g=10~\mathrm{ms^{-2}}\))
1. \(14\) ms^–1
2. \(20\) ms^–1
3. \(28\) ms^–1
4. \(10\) ms^–1

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:

A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 ms^-1 at an angle of ${60}^0$ with the source-observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air 330 ms^-1), is: 
              
1. 100 Hz
2. 103 Hz
3. 106 Hz
4. 97 Hz

If dimensions of critical velocity \({v_c}\) of a liquid flowing through a tube are expressed as \(\eta^{x}\rho^yr^{z}\), where \(\eta, \rho~\text{and}~r\) are the coefficient of viscosity of the liquid, the density of the liquid, and the radius of the tube respectively, then the values of \({x},\) \({y},\) and \({z},\) respectively, will be:
1. \(1,-1,-1\)
2. \(-1,-1,1\)
3. \(-1,-1,-1\)
4. \(1,1,1\)

\(4.0~\text{gm}\) of gas occupies \(22.4~\text{litres}\) at NTP. The specific heat capacity of the gas at a constant volume is  \(5.0~\text{JK}^{-1}\text{mol}^{-1}.\) If the speed of sound in the gas at NTP is \(952~\text{ms}^{-1},\) then the molar heat capacity at constant pressure will be:
(\(R=8.31~\text{JK}^{-1}\text{mol}^{-1}\)) 

If vectors \(\overrightarrow{{A}}=\cos \omega t \hat{{i}}+\sin \omega t \hat{j}\) and \(\overrightarrow{{B}}=\cos \left(\frac{\omega t}{2}\right)\hat{{i}}+\sin \left(\frac{\omega t}{2}\right) \hat{j}\) are functions of time. Then, at what value of \(t\) are they orthogonal to one another?
1. \(t = \frac{\pi}{4\omega}\)
2. \(t = \frac{\pi}{2\omega}\)
3. \(t = \frac{\pi}{\omega}\)
4. \(t = 0\)

In the given figure, a diode \(D\) is connected to an external resistance \(R = 100~\Omega\)$$ and an EMF of \(3.5~\text{V}\). If the barrier potential developed across the diode is \(0.5~\text{V}\), the current in the circuit will be:

1. \(30~\text{mA}\)
2. \(40~\text{mA}\)
3. \(20~\text{mA}\)
4. \(35~\text{mA}\)

If potential \([\text{in volts}]\) in a region is expressed as \(V[x,y,z] = 6xy-y+2yz,\) the electric field \([\text{in N/C}]\) at point \((1, 1, 0)\) is:

A remote sensing satellite of earth revolves in a circular orbit at a height of \(0.25 \times10^6~\text{m}\) above the surface of the earth. If Earth’s radius is \(6.38\times10^6~\text{m}\) and \(g=9.8~\text{ms}^{-2}\), then the orbital speed of the satellite is:
1. \(7.76~\text{kms}^{-1}\)
2. \(8.56~\text{kms}^{-1}\)
3. \(9.13~\text{kms}^{-1}\)
4. \(6.67~\text{kms}^{-1}\)

Two metal wires of identical dimensions are connected in series. If ${\mathrm{}}_{}$\(\sigma_1\) $\mathrm{and}$ \(\sigma_2\) are the conductivities of the metal wires respectively, the effective conductivity of the combination is:

A satellite S is moving in an elliptical orbit around the earth. If the mass of the satellite is very small as compared to the mass of the earth, then:

Two particles \(\mathrm{A}\) and \(\mathrm{B}\), move with constant velocities \(\overrightarrow{{v}_1}\) and \(\overrightarrow{{v}_2}\) respectively. At the initial moment, their position vectors are \(\overrightarrow{{r}_1}\) and \(\overrightarrow{{r}_2}\) respectively. The condition for particles \(\mathrm{A}\) and \(\mathrm{B}\) for their collision will be:
1.\(\dfrac{\vec{r_1}-\vec{r_2}}{\left|\vec{r_1}-\vec{r_2}\right|}=\dfrac{\vec{v_2}-\vec{v_1}}{\left|\vec{v_2}-\vec{v_1}\right|}\)   
2. \(\vec{r_1} \cdot \vec{v_1}=\vec{r_2} \cdot \vec{v_2}\)   ${\mathrm{}}_{}$
3. \(\vec{r_1} \times \vec{v_1}=\vec{r_2} \times \vec{v_2}\)${\mathrm{ \; \; }}_{}$
4. \(\vec{r_1}-\vec{r_2}=\vec{v_1}-\vec{v_2}\) 

Two stones of masses \(m\) and \(2m\) are whirled in horizontal circles, the heavier one in a radius \(\frac{r}{2}\) and the lighter one in a radius \(r\). The tangential speed of lighter stone is \(n\) times that of the value of heavier stone when they experience the same centripetal forces. The value of \(n\) is:

A parallel plate air capacitor has capacitance \(C,\) the distance of separation between plates is \(d\) and potential difference \(V\) is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is:

The position vector of a particle \(\vec{R}\) as a function of time \(t\) is given by;
\(\overrightarrow{\mathrm{R}}=4 \sin (2 \pi \mathrm{t}) \hat{\mathrm{i}}+4 \cos (2 \pi \mathrm{t}) \hat{\mathrm{j}}\)
Where \(R\) is in meters, \(t\) is in seconds and \(\mathrm{\hat{i},\hat{j}}\) denotes unit vectors along \(\mathrm{x}\) and \(\mathrm{y}\)-directions, respectively. Which one of the following statements is wrong for the motion of the particle?

A series \(RC\) circuit is connected to an alternating voltage source. Consider two situations:
(1) When the capacitor is air-filled. 
(2) When the capacitor is mica filled. 
The current through the resistor is \(i\) and the voltage across the capacitor is \(V\) then:
1. \(V_a< V_b\)
2. \(V_a> V_b\)
3. \(i_a>i_b\)
4. \(V_a = V_b\)

A string is stretched between fixed points separated by \(75.0~\text{cm}\). It is observed to have resonant frequencies of \(420~\text{Hz}\) and \(315~\text{Hz}\). There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
1. \( 155 \mathrm{~Hz} \)
2. \( 205 \mathrm{~Hz} \)
3. \( 10.5 \mathrm{~Hz} \)
4. \( 105 \mathrm{~Hz}\)

The coefficient of performance of a refrigerator is \(5.\) If the temperature inside the freezer is \(-20^\circ \text{C},\) the temperature of the surroundings to which it rejects heat is:
1. \(31^\circ \text{C}\)
2. \(41^\circ \text{C}\)
3. \(11^\circ \text{C}\)
4. \(21^\circ \text{C}\)

A photoelectric surface is illuminated successively by the monochromatic light of wavelength \(\lambda\) and \(\frac{\lambda}{2}\). If the maximum kinetic energy of the emitted photoelectrons in the second case is \(3\) times that in the first case, the work function of the surface of the mineral is:
[\(h\) = Plank’s constant, \(c\) = speed of light]
1. \(\frac{hc}{2\lambda}\)
2. \(\frac{hc}{\lambda}\)
3. \(\frac{2hc}{\lambda}\)
4. \(\frac{hc}{3\lambda}\)

In an astronomical telescope in normal adjustment, a straight line of length \(L\) is drawn on the inside part of the objective lens. The eye-piece forms a real image of this line. The length of this image is \(l.\) The magnification of the telescope is:
1. \(\frac{L}{l}+1\)
2. \(\frac{L}{l}-1\)
3. \(\frac{L+1}{l-1}\)
4. \(\frac{L}{l}\)

Two slits in Young’s experiment have widths in the ratio of \(1:25\). The ratio of intensity at the maxima and minima in the interference pattern \(\frac{I_{max}}{I_{min}}\) is:
1. \(\frac{9}{4}\)
2. \(\frac{121}{49}\)
3. \(\frac{49}{121}\)
4. \(\frac{4}{9}\)

Water rises to height '\(h\)' in a capillary tube. If the length of capillary tube above the surface of the water is made less than \('h'\), then:

Two vessels separately contain two ideal gases \(\mathrm{A}\) and \(\mathrm{B}\) at the same temperature, the pressure of \(\mathrm{A}\) being twice that of \(\mathrm{B}\). Under such conditions, the density of \(\mathrm{A}\) is found to be \(1.5\) times the density of \(\mathrm{B}\). The ratio of molecular weight of \(\mathrm{A}\) and \(\mathrm{B}\) is:

A circuit contains an ammeter, a battery of \(30~\text{V}\), and a resistance \(40.8~\Omega\)$$ all connected in series. If the ammeter has a coil of resistance \(480~\Omega\)$$ and a shunt of \(20~\Omega\)$$, then the reading in the ammeter will be:
1. \(0.5~\text{A}\)
2. \(0.02~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)

The value of the coefficient of volume expansion of glycerine is \(5\times10^{-4} \mathrm{~K^{-1}}\). The fractional change in the density of glycerine for a rise of \(40^\circ \text{C}\) in its temperature is:$\mathrm{}$
1. \(0.015\)
2. \(0.020\)
3. \(0.025\)
4. \(0.010\)

The heart of a man pumps \(5~\text{L}\) of blood through the arteries per minute at a pressure of \(150~\text{mm}\) of mercury. If the density of mercury is \(13.6\times10^{3}~\text{kg/m}^{3}\)$$ $\mathrm{and}{\mathrm{}}^{}$ \(g = 10~\text{m/s}^2\), then the power of the heart in watt is:
1. \(1.70\)
2. \(2.35\)
3. \(3.0\)
4. \(1.50\)

A beam of light consisting of red, green, and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the red, green, and blue wavelengths is \(1.39\), \(1.44\), and \(1.47\) respectively. 

The prism will:

A rectangular coil of length \(0.12~\text{m}\) and width \(0.1~\text{m}\) having \(50\) turns of wire is suspended vertically in a uniform magnetic field of strength \(0.2~\text{Wb/m}^2\). The coil carries a current of \(2~\text{A}\). If the plane of the coil is inclined at an angle of \(30^{\circ}\) with the direction of the field, the torque required to keep the coil in stable equilibrium will be:
1. \(0.15~\text{N-m}\)
2. \(0.20~\text{N-m}\)
3. \(0.24~\text{N-m}\)
4. \(0.12~\text{N-m}\)

An electron moves on a straight-line path \(XY\) as shown. The \(\mathrm{abcd}\) is a coil adjacent to the path of electrons. What will be the direction of current if any, induced in the coil? 

A nucleus of uranium decays at rest into nuclei of thorium and helium. Then:

A force $\stackrel{}{}$\(\vec{F}=\alpha \hat{i}+3 \hat{j}+6 \hat{k}\) is acting at a point  \(\vec{r}=2 \hat{i}-6 \hat{j}-12 \hat{k}\). The value of \(\alpha\) for which angular momentum about the origin is conserved is:
1. \(-1\)
2. \(2\)
3. zero
4. \(1\)

A particle is executing a simple harmonic motion. Its maximum acceleration is $\alpha$ and maximum velocity is $\beta$. Then its time period of vibration will be:

The energy of the EM waves is of the order of \(15~\mathrm{keV}\). To which part of the spectrum does it belong?
1. X-rays
2. Infrared rays
3. Ultraviolet rays
4. \(\gamma\)-rays

Light of wavelength \(500~\text{nm}\) is incident on metal with work function \(2.28~\text{eV}\). The de-Broglie wavelength of the emitted electron is:

At the first minimum adjacent to the central maximum of a single slit diffraction pattern, the phase difference between the Huygen’s wavelet from the edge of the slit and the wavelet from the midpoint of the slit is:
1. \(\frac{\pi}{4}\text{radian}\)
2. \(\frac{\pi}{2}\text{radian}\)
3. \({\pi}~\text{radian}\)
4. \(\frac{\pi}{8}\text{radian}\)

On a frictionless surface, a block of mass \(M\) moving at speed \(v\) collides elastically with another block of the same mass \(M\) which is initially at rest. After the collision, the first block moves at an angle \(\theta\) to its initial direction and has a speed \(\frac{v}{3}\). The second block’s speed after the collision will be:
1. \(\frac{2\sqrt{2}}{3}v\)
2. \(\frac{3}{4}v\)
3. \(\frac{3}{\sqrt{2}}v\)
4. \(\frac{\sqrt{3}}{2}v\)

A potentiometer wire of length \(L\) and a resistance \(r\) are connected in series with a battery of EMF \(E_{0 }\) and resistance \(r_{1}\). An unknown EMF is balanced at a length l of the potentiometer wire. The EMF \(E\) will be given by:
1. \(\frac{L E_{0} r}{l r_{1}}\)
2. \(\frac{E_{0} r}{\left(\right. r + r_{1} \left.\right)} \cdot \frac{l}{L}\)
3. \(\frac{E_{0} l}{L}\)
4. \(\frac{L E_{0} r}{\left(\right. r + r_{1} \left.\right) l}\)

Young’s modulus of steel is twice that of brass. Two wires of the same length and of the same area of cross-section, one of steel and another of brass, are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:
1. \(1:2\)
2. \(2:1\)
3. \(4:1\)
4. \(1:1\)

The input signal given to a CE amplifier having a voltage gain of 150 is ${\mathrm{V}}_{\mathrm{i}}=2\cos \left[15\mathrm{t}+\frac{{\displaystyle \mathrm{\pi }}}{{\displaystyle 3}}\right]$. The corresponding output signal will be:
1. $30 \cos \left[15\mathrm{t}+\frac{\mathrm{\pi }}{3}\right]$
2. $75 \cos \left[15\mathrm{t}+\frac{2\mathrm{\pi }}{3}\right]$
3. $2 \cos \left[15\mathrm{t}+\frac{5\mathrm{\pi }}{3}\right]$
4. $300 \cos \left[15\mathrm{t}+\frac{4\mathrm{\pi }}{3}\right]$

An automobile moves on a road with a speed of \(54~\text{kmh}^{-1}.\)  The radius of its wheels is \(0.45\) m and the moment of inertia of the wheel about its axis of rotation is \(3~\text{kg-m}^2.\) If the vehicle is brought to rest in \(15\) s, the magnitude of average torque transmitted by its brakes to the wheel is:
1. \(6.66~\text{kg-m}^2\text{s}^{-2}\)
2. \(8.58~\text{kg-m}^2\text{s}^{-2}\)
3. \(10.86~\text{kg-m}^2\text{s}^{-2}\)
4. \(2.86~\text{kg-m}^2\text{s}^{-2}\)