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Which of the following statement is incorrect?
1.Taxa can indicate categories at very different levels.
2. systematics takes into account evolutionary
relationship between organisms.
3. Modern taxonomy do not take into account
ecological information about organisms.
4. Each rank or taxon represents unit of classification.

All living organisms are? Except
1. Self replicating.
2. Evolving and self regulating.
3. Self conscious.
4. Interactive System.
 

How many of the following can help in breaking seed dormancy?
1. Changing the environmental condition like light & temperature.
2. Application of GA₃ or nitrates.
3. Chilling condition.
4. All the above

Which of the following is not correctly matched?
       PGR           Function
1. Auxin       Flowering in mango.
2. ABA         Dormancy of seed.
3. GA3         Breaking seed dormancy.
4. Ethylene   Sprouting of potato.

Each pole receives half the chromosome number of the
parent cell, is true for which stage?
1. Anaphase - II
2. Anaphase - I
3. Telophase-I 
4. Telophase-II

Most of the organelle duplication occurs during which
phase?
1. G₁
2. G₂
3. S 
4. M

It begins with the simultaneous splitting of the
centromere of each chromosome, is true for which stage
of Cell division.
1. Anaphase-I 
2. Anaphase-II
3. Anaphase 
4. More than one

Which of the following is not related to formation of
bivalent?
1. Synapsis
2. Recombinase
3. Zygotene
4. Synaptonemal complex

Statement -1: In animals mitotic cell division is only seen in the diploid somatic cells.
Statement-2: In plants mitotic division takes place in both haploid & diploid cells.
Option :
1. Both statements 1 & 2 are correct.
2. Only statement 1 is correct.
3. Only statement 2 correct.
4. Both statements 1 & 2 are incorrect.

How many of the following statements are correct?
(i) In plants each organ receiving some substances & giving out some others.
(ii) Water channels are made up of eight different types of aquaporins.
(iii) Water is often a limiting factor for plant growth & productivity in both agricultural & Natural environments.
(iv) Imbibition is also diffusion.
Options:
1. All the above
2. (i), (ii) & (iv)
3. (ii), (iii) & (iv)
4. (iii) & (iv)

In the xylem, a continuous chain of water, when it is broken, is re-established by:
1. Guttation
2. Root pressure
3. Imbibition
4. Transpiration

Which of the following is not true for three domain
system?
1. Divides kingdom monera into two domains.
2. Third domain includes all eukaryotic organisms.
3. It resulted in six kingdom classifications.
4. It is not phylogenetic.

Archaebacteria differ from other bacteria on the
basis of
1. Cell membrane structure.
2. Cell wall structure.
3. Presence of vacuole.
4. flagella structure.

Which of the following statement is not true for
organism, which causes bloom of polluted water?
1. Can fix nitrogen.
2. Have chlorophyll ‘a’ similar to higher plants.
3. Locks flagella.
4. Only fresh water.

In case of protists sexual reproduction can be by
1. Cell fusion
2. Zygote formation
3. Triple fusion
4. Both 1 and 2

Which of the following have pigment similar to higher
plants?
1. Group which causes red tide.
2. Group which is chief producer of ocean.
3. Group when deprived of light behaves as heterotroph.
4. Group where spore have cellulosic cell wall

Which of the following fungus lacks dikaryophase?
1. Claviceps
2. Puccinia
3. Aspergillus
4. Trichoderma

Which of the following is not correctly matched?

Plants growing near nuclear testing site take up
1. Strontium.
2. Molybdenum.
3. Potassium.
4. Magnesium

Plant prefers to absorb nitrogen in form of nitrate from
soil, then it is reduced to ammonia. This reduction to
ammonia takes place in which part of plant
1. Root.
2. Leaf.
3. Stem.
4. Any

Cylindrical meristem is term used for?
1. Lateral meristem.
2. Promeristem.
3. Intercalary meristem.
4. Primary meristem.

Which of the following function can be performed by
both parenchyma and collenchyma?
1. Storage.
2. Photosynthesis.
3. Secretion.
4. All.

Mark the incorrect match
1. Radial conduction of water – Ray parenchyma.
2. Water filled cavities – Maize stem.
3. Phloem parenchyma – Mainly in monocots.
4. Trichomes – Prevents water loss

Sunlight is essential for photosynthesis is established
by
1. Jan Ingenhousz
2. Robert Hill
3. Emerson
4. Julius Von Sach

Why breakdown of proton gradient is essential during
photosynthesis
1. It leads to production of NADPH.
2. It leads to production of O₂
3. It leads to production of ATP.
4. Both 1 and 3

The following processes occur during photosynthesis
(i) Reduction of carbon dioxide
(ii) The splitting of water
(iii) The synthesis of glucose
(iv) Release of oxygen
(v) Formation of ATP
Which one of the following combinations is correct for the light phase ?
1. i, ii and iii
2. iii, iv and v
3. i, iii and iv
4. ii, iv and v

During aerobic respiration hydrogen from the system is
removed by?
1. O₂
2. NADP
3. FMN 
4. UQ

Mark the incorrect match
          Aerobic                   Anaerobic
1. Complete breakdown  -  Partial breakdown.
of glucose 
2. Net gain 38 ATP         -  Net gain 2 ATP.
3. Vigrously                   - NADH oxidised slowly
4. CO₂ released              - No CO₂ released.

Statement - 1 : Respiration is amphibolic pathway.
Statement - 2 : Pure fat & pure protein can never be
respiratory substrate.
Option :
1. Only second statement is correct.
2. Both statements are correct.
3. Neither first nor second is correct.
4. Only first statement is correct

How many of the following plants have stipulate leaf?
Tulip, Petunia, Lupin, Sweet pea, Indigofera,
Sunhemp, Aloe, Ashwagandha
1. 6
2. 4
3. 7 
4. 3

In floral diagram a dot at the top of diagram represents
1. Position of ovary
2. Aestivation
3. Mother axis
4. Cohesion

Which of the following is not related to family
brassicaceae?
1. Parietal placentation.
2. Variation in length of stamen.
3. Alternate phyllotaxy.
4. Perigynous.

Rachis represents?
1. Floral axis 
2. Mid rib
3. Petiole 
4. Pulvinus

Which of the following character is not related to
cucumber?
1. Tendrils develop from axillary bud.
2. Epigynous flower.
3. Ethylene is used for increasing production.
4. Teteradynamous condition.

Aestivation is twisted in all, except
1. China rose
2. Pea
3. Cotton
4. Lady finger

In mango & coconut fruit is drupe, true for this is
1. It develop from monocarpellary ovary.
2. It develop from hypogynous ovary.
3. It is one seeded.
4. All of these

Anisogamy is observed in
1. Eudorina
2. Volvox
3. Fucus
4. Kelps

Mark the incorrect match
1. No embryo formation — Polysiphonia.
2. No reduction division in zygote— Polytrichum.
3. Vascular tissue present—Azolla.
4. Pollen directly lands on ovule—Wolffia.

Secondary protonema of moss
1. Helps in propagation by fragmentation.
2. Helps in propagation by budding.
3. Have leafy stage as lateral bud.
4. All the above

Mark the incorrect statement

Centromere is situated at the end in
1. Telocentric chromosome.
2. Acrocentric chromosome.
3. Metacentric chromosome.
4. Sub-metacentric chromosome

In ribosome s-value provides indirect information about
1. Size and density.
2. Size & volume.
3. Volume and density.
4. Mass and size

Enzymes present inside the lysosome is active under
1. Alkaline pH
2. Acid pH
3. Any pH
4. Change in pH

Which property of membrane is responsible for lateral
movement of protein within overall bilayer?
1. Fluidity
2. Rigidity
3. Semi permeability
4. Hydrophilic

Smooth endoplasmic reticulum performs all the
functions, except
1. Production of glycoprotein.
2. Synthesis of lipid.
3. Synthesis of glycogen.
4. Synthesis of steroidal hormones

Find out the correct match from the following table:-

1. (i) only 
2. (i) and (ii)
3. (iii) only
4. (ii) and (iii)

Excretory system is absent, sexes are separate,
fertilization is usually external this is correct for :

1.		2.
3.		4.

Select the correct option in respect of characteristics
of each group :-

1. (i), (ii) are correct.
2. (i), (iii), (iv) are correct.
3. (ii), (iii) are correct.
4. (ii), (iii), (iv) are correct.

Which of the following epithelium their main function is to provide protection against chemical and mechanical stresses?
1. Simple epithelium.
2. Compound epithelium.
3. Columnar epithelium.
4. Cuboidal Epithelium

Identify correctly matched (a), (b), (c):

1. Colon, Mesentron, Crop
2. Ileum, Mesentron, Gizzard
3. Ileum, Mesentron, Crop
4. Colon, Mesentron, Gizzard

A list of different metabolites is given below in this list find out the number of primary & secondary metabolites, respectively & chooses the correct option:
Alkaloids, Abrin, Ricin, Carotenoids, Amino acids,
Glucose, Fructose, Fatty acids, Thymine, Uracil,
Lectins, Drugs.
1. Five and Six
2. Six and Six
3. Seven and five
4. Four and Eight

Read the following statement (A-D) :-
(a) Each protein is a polymer of amino acids.
(b) A protein is a hetero polymer and not a
homopolymer.
(c) Dietary proteins are the source of essential
amino acid.
(d) Collagen is the most abundant protein in
whole of the biosphere.
How many of the above statement are right ?
1. Three
2. One
3. Two
4. Four

Which of the following part of the nephron is not involved in tubular secretion?
1. Bowman’s capsule
2. PCT
3. DCT
4. Collecting Duct

Read the following statements:-
(a) Human liver is the largest endocrine gland of the body having two lobes.
(b) Hepatic lobules are the structural and functional units of the liver and contain hepatocytes which are arranged in a chord-like manner.
(c) Glisson’s capsule is covering of each lobule and is made up of connective tissue.
(d) Bile juice is formed and secreted by hepatocytes and is stored in a liver sinusoid.
Out of these which statements are correct and incorrect?
1. Statements a and b are correct while c & d are incorrect.
2. Statements a and d are correct while b & c are incorrect.
3. Statements b & c are correct while a & d are incorrect.
4. Statements b and d are correct while a & c are incorrect.

Match column I with column II:

Which of the following statement is true for structure
marked ‘A’ in the given figure?
1. In it centripetal conduction takes place.
2. Nissl’s granules are present.
3. Present in non polar neuron.
4. Present in pseudounipolar neuron.

How many hormones in the given list are not produced by the anterior pituitary?
Prolactin(PRL), growth hormone(GH), Oxytocin, Thyroid stimulating hormone(TSH), vasopressin, somatostatin, and Gonadotrophin releasing hormone(GnRH).
1. 6
2. 5
3. 4
4. 3

For the given diagram which labeling and function is
correctly matched/described?
1. (a) $\to$ Fovea $\to$ Rods are densely packed.
2. (b) $\to$ Blindspot $\to$ No image formed.
3. (c) $\to$ Choroid $\to$ Coloured part of the eye which regulates diameter of pupil.
4. (d) $\to$ Ciliary body $\to$ No role in accommodation

Which of the following is not a correct combination of the hormone with its source organ and target organ?

Read all statements carefully and identify the number of correct ones:
(a) Neural system provides an organised network of point-to-point connections for quick coordination.
(b) Impulse transmission across a chemical synapse is always faster than that across an electrical synapse.
(c) Cerebral aqueduct passes through the midbrain.
(d) The hypothalamus contains centers that control respiration and gastric secretions.
1. One
2. Two
3. Three
4. Four

Consider the following four statements (a-d) and select the option which includes all the correct information:-
(a) Coronary Artery disease, (CAD) often referred to as Atherosclerosis
(b) Heart failure means when the heart muscle is suddenly damaged by an inadequate blood supply
(c) High blood pressure leads to heart disease and also affects vital organs like brain and kidney
(d) Angina occurs due to conditions that affect the blood flow
Options :
1. Statements (b), (c) and (d)
2. Statements (a), (b)
3. Statements (b), (d)
4. Statement (a), (c) and (d)

Which is not reabsorbed actively in nephron?
1. Glucose
2. Na+
3. Amino acid
4. Nitrogenous wastes

Which of the following group of animals are ammonotelic in nature?
1. Many bony fishes, amphibians, Insects.
2. Marine Fishes, amphibians, aquatic insects.
3. Mammals, birds, Reptiles.
4. Many bony fishes, aquatic amphibians, aquatic insects.

Reabsorption and secretion of major substances at different parts of the Nephron are shown in the given figure. In this figure A, B, C, D are :-
 
1. HCO${}_3^{-}$ , Nutrients, Urea, NaCl.
2. NaCl, Urea, H${}^{+}$, HCO${}_3^{-}$
3. NaCl, Urea, HCO${}_3^{-}$ , Ammonia.
4. H${}_2$O, Urea, NaCl, HCO${}_3^{-}$

Trachea divides into two primary bronchi at the levels of :
1. 7th thoracic vertebrae in the mid-thoracic cavity.
2. 5th lumbar vertebrae in the mid-thoracic cavity.
3. 5th thoracic vertebrae in the lower thoracic cavity.
4. 5th thoracic vertebrae in the mid-thoracic cavity.

The state of heart when it not pumping blood effective
enough to meet the needs of the body is called
1. CAD.
2. Atherosclerosis.
3. Angina.
4. Heart failure.

In the rest state, a subunit of troponin masks :-
1. Active binding sites for actin on the myosin
filaments.
2. Active binding sites for myosin on the myosin
filaments.
3. Active binding sites for myosin on the actin
filaments.
4. Actine binding sites for actin on the actin
filaments.

Contraction of muscle fibre takes place by the
sliding of :-
1. Thin filaments over the actin filaments.
2. Thick filaments over the thin filaments.
3. Thin filaments over the thick filaments.
4. Thick filaments over the myosin filaments.

How many vertebrochondral ribs are found in humans?
1. 12 pairs
2. 5 pairs
3. 3 pairs
4. 2 pairs

The condition which is favourable for dissociation of oxyhaemoglobin is :-
1. High PO${}_2$
2. Low PCO${}_2$ correct?
3. High H${}^{+}$ conc.
4. Low temp

Given below are four statements (a-d) regarding the human blood circulatory system :
(a) Arteries are thick-walled and have narrow lumen as compared to veins.
(b) Angina is acute chest pain when the blood circulation to the brain is reduced.
(c) Persons with blood group AB can donate blood to any person with any blood group under the ABO system.
(d) Calcium ions play a very important role in blood clotting.
Which two of the above statements are true?
1. a and b
2. b and c
3. c and d
4. a and d

Which of the following statement is correct regarding the given graph?

Read the following statements (A-D):-
(A) A neural signal reaching the neural muscular junction releases adrenalin.
(B) Many monomeric proteins called meromyosin constitute one thin filament.
(C) A complex protein troponin is distributed at irregular intervals on the tropomyosin.
(D) During shortening of muscle, the I-bands get reduced.
How many of the above statements are true?
1. Four
2. One
3. Three
4. Two

Match the following:-

1. iv → (d), iii → (b), i → (c), ii → (a)
2. i → (a), ii → (c), iii → (d), iv → (b)
3. i → (c), ii → (a), iii → (d), iv → (b)
4. i → (a), ii → (d), iii → (b), iv → (c)

Read the following statements :
A. Mouth is located ventrally.
B. Notochord is persistent throughout life.
C. Gill slits are seperate and with operculum.
D. Air bladder are absent.

How many of the above statements are correct for given
figure :
1. Four.
2. Three.
3. Two.
4. One

Restoration of resting potential of the membrane at the site of excitation is achieved by:-
1. Diffusion of K${}^{+}$ outside the membrane
2. Diffusion of Na${}^{+}$ outside the membrane
3. Diffusion of K${}^{+}$ inside the membrane
4. Diffusion of Na${}^{+}$ inside the membrane

If coastal cartilage is replaced by bones then
1. Volume of thoracis cage will not increased.
2. Volume of thoracic cage will not decreased.
3. Breathing will stop.
4. All the above statements are wrong.

Glisson’s capsule is associated with :
1. liver
2. pancreas
3. lungs
4. kidney

Which of the following stage in cardiac cycle is of
longest duration ?
1. Atrial systole.
2. Ventricle diastole.
3. Joint diastole.
4. Atrial diastole.

Which of the following option gives the correct categorization of hormones according to their chemical nature?

Read the following four statements (a-d) and select the option which includes all correct ones only :-

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

Which of the following is the example of connective
tissue?
(i) Tendon
(ii) Ligament
(iii) Adipose tissue
(iv) Blood
(v) Lymph
1. (i), (ii), (iii), (iv), (v)
2. (i), (ii) only
3. (i), (ii), (iv) only
4. (i), (ii), (iii) only

Which of the following is not a part of the autonomic neural system?
1. Brain
2. Spinal cord
3. Ganglion
4. Skeletal Muscle

The ___________ integrates information received from the semicircular canals of the ear and the auditory system.
1. Cerebrum.
2. Cerebellum.
3. Medulla oblongata.
4. Thalamus.

How many of these contain sensory hair cells?
Eustechian tube, utricle, saccule, Semicircular
canals, scale media, scala vestibuli
1. 1
2. 3
3. 4
4. 2

Similarity between Inulin, Lecithin and Insulin is -
1. All are polymeric compound.
2. All are natural polypeptides.
3. All contains C,H,O and N.
4. None of these.

The most abundant chemical in living organisms is -
1. Water.
2. Protein.
3. Carbohydrate.
4. Nucleic acid.

Hepatic portal system connect
1. Liver and heart.
2. Liver and Kidney.
3. Liver and digestive tract.
4. Liver and spleen.

Intracellular flux of Ca⁺⁺ is maximum in -
1. White muscle fiber.
2. Red muscle fiber.
3. Cardiac muscle fiber.
4. Smooth muscle fiber.

Which of the following can alter respiratory
mechanism?
1. Pneumotaxic centre in the pons region of the brain.
2. Chemosensitive area in the medulla.
3. Mid brain.
4. Both 1 and 2.

HI was heated in a sealed tube at 440$°$C till the equilibrium was reached. At this point, HI was found to be 22 % decomposed. The equilibrium constant for this dissociation is :

Inert gas is added to the equilibrium ${\mathrm{PCl}}_5(\mathrm{g}) \rightleftharpoons {\mathrm{PCl}}_3(\mathrm{g})$ $+$ ${\mathrm{Cl}}_2\left(\mathrm{g}\right)$ at constant pressure. The degree of dissociation will :
1. Remain unchanged
2. Decrease
3. Increase
4. Decrease or increase but cannot be predicted with certainty

In the reaction, N₂O₄ $\rightleftharpoons$ 2NO₂, $\mathrm{\alpha }$ is that part of N₂O₄ which dissociates. The number of moles at equilibrium will be:
1. ${\left(1-\mathrm{\alpha }\right)}^2$
2. $3\mathrm{\alpha }$
3. $\mathrm{\alpha }$
4. $1+\mathrm{\alpha }$

 When an electron jumps from n=5 to n=1 in a hydrogen atom, the number of spectral lines obtained is 

Density ratio of O₂ and H₂ is 16 : 1. The ratio of their r.m.s. velocities will be- 
1. 4 : 1
2. 1 : 16
3. 1 : 4
4. 16 : 1

The compound X in the above reaction is-

1.		2.
3.		4.

If optical rotation produced by the compound (i) is+52° then that produced by the compound (ii) is:

1. -52°
2. +52°
3. 0°
4. unpredictable

Lactic acid is:
1. propionic acid
2. β-hydroxypropanoic acid
3. α-hydroxypropanoic acid
4. none of the above

The maximum number of stereoisomers possible for 3-hydroxy-2-methyl butanoic acid is:
1. 1               2. 2
3. 3               4. 4

Maleic and fumaric acids are:
1. tautomers                 
2. geometrical isomers
3. chain isomers             
4. functional isomers

The optically active alkane with lowest molar mass is:
1. ${\mathrm{CH}}_3{\mathrm{CH}}_2\mathrm{C}\equiv \mathrm{CH}$
2. ${\mathrm{CH}}_3{\mathrm{CH}}_2-\stackrel{{\mathrm{CH}}_3}{\stackrel{|}{\mathrm{CH}}}-{\mathrm{CH}}_3$
3. 
4. ${\mathrm{CH}}_3{\mathrm{CH}}_2.{\mathrm{CH}}_2{\mathrm{CH}}_3$

The IUPAC name of the compound
is-
1. 3-Keto-2-methylhex-4-enal
2. 5-Formylhex-2-en-3-one
3. 5-Methyl-4-oxohex-2-en-5-al
4. 3-Keto-2-methylhex-5-enal
 
 

The products that formed when the following compound is treated with Br₂ in the presence of FeBr₃ are:

1.
2.
3.
4.

An organic compound contains carbon, hydrogen, and oxygen.
Its elemental analysis gave C, 38.7%, and H, 9.67%.
The empirical formula of the compound would be :
1. CH₃O                                   
2. CH₂O
3. CHO                                     
4. CH₄O

The process that requires absorption of energy is:
1. $N\to N^{-}$                       
2. $F\to F^{-}$
3. $Cl\to C{l}^{-}$                     
4. $H\to H^{-}$

The shape of $\mathrm{Xe}{{\mathrm{F}}_3}^{+}$ is:

The bond length of the S$—$O bond in maximum in which of the following compounds?
1. $SOC{I}_2$ 
2. $SOB{r}_2$ 
3.$SO{F}_2$ 
4. All have the same length

The species among the following that does not exist is-
1. ${\left(\mathrm{Sn}{F}_6\right)}^{2-}$
2. ${\left({\mathrm{GeCl}}_6\right)}^{2-}$
3. ${\left({\mathrm{CCl}}_6\right)}^{2-}$
4. ${\left({\mathrm{SiF}}_6\right)}^{2-}$

The bond angle between two hybrid orbitals is ${105}^{°}$. The % s character in orbital is-

In piperidine "N" atom has hybridization:

1. sp
2. $s{p}^2$
3. $s{p}^3$
4. $ds{p}^2$

 ${\mathrm{CH}}_3\mathrm{Cl} \& {\mathrm{C}}_2{\mathrm{H}}_5\mathrm{Cl}$ undergoes Wurtz reaction to give-

In the Solvay process of manufacture of sodium carbonate, the raw materials used are :
1. Aqueous NaOH, $N{H}_3$ and $C{O}_2$
2. Molten NaOH, $N{H}_3$ and CO
3. Brine NaCl, $N{H}_3$ and CO
4. Brine NaCl, $N{H}_3$ and $C{O}_2$

A compound insoluble in acetic acid is  -
1. Calcium oxide.                    
2. Calcium carbonate.
3. Calcium oxalate.                      
4. Calcium hydroxide.

For \(A \rightarrow B\), \(\Delta H = 4\ kcal\ mol^{-1}\), \(​​\Delta S = 10\ cal\ mol^{-1}\ K^{-1}\), the reaction is spontaneous when the temperature is:
1. 400 K
2. 300 K
3. 500 K
4. None of the above

The lattice energy of NaCl is 780 kJ mol^-1. The enthalpy of hydration of Na⁺(g) and Cl^-(g) ions are -406 kJ mol^-1 and -364 kJ mol^-1. The enthalpy of the solution of NaCl(s) is-
1. 23 kJ mol^-1
2. 10 kJ mol^-1
3. -10 kJ mol^-1
4. -82 kJ mol^-1

The most suitable method of separation of 1:1 mixture of ortho and para-nitrophenols is
1. sublimation
2. chromatography
3. crystallisation
4. steam distillation

Which of the following thermodynamic quantities is an outcome of the second law of thermodynamics?
1. Work
2. Enthalpy
3. Internal energy
4. Entropy

The number of isomeric sodium salt that will be required to obtain neopentane is: 
1. 3                                                   
2. 1
3. 4                                                   
4. 6

The type of reaction and intermediate of decarboxylation reaction are.-
(1)                                                 
(2) 
(3)                                                  
(4) 

Equivalent weight of ${\mathrm{H}}_3{\mathrm{PO}}_2$ when it disproportionate into ${\mathrm{PH}}_3$ and ${\mathrm{H}}_3{\mathrm{PO}}_3$ is:
1. M
2. M/2
3. M/4
4. 3M/4

What volume of ${\mathrm{O}}_2\left(\mathrm{g}\right)$ measured at 1 atm and 273 K will be formed by the action of 100 mL of 0.5 N KMnO₄ on hydrogen peroxide in an acid solution?
The skeleton equation for the reaction is
${\mathrm{KMnO}}_4+{\mathrm{H}}_2{\mathrm{SO}}_4+{\mathrm{H}}_2{\mathrm{O}}_2$$\to {\mathrm{K}}_2{\mathrm{SO}}_4+{\mathrm{MnSO}}_4+{\mathrm{O}}_2+{\mathrm{H}}_2\mathrm{O}$
1.  0.12 litre
2.  0.028 litre
3.  0.56 litre
4.  1.12 litre

The angular momentum of an electron in d orbital is equal to
1. $\sqrt{6} \sout{\mathrm{h}}$
2. $\sqrt{2} \mathrm{h}$
3. $2\sqrt{3} \mathrm{h}$
4. 0 h

The vapour density of a volatile chloride of a metal is 95 and the specific heat of the metal is 0.13 cal/g. The equivalent mass of the metal will be:
1.  6 g
2. 12 g
3.  18 g
4.  24 g

At what temperature will average speed of the molecules of the second member of the series ${\mathrm{C}}_{\mathrm{n}}{\mathrm{H}}_{2\mathrm{n}}$ be the same of ${\mathrm{Cl}}_2$ at $627°\mathrm{C}$?
1.  259.4 K
2.  400 K
3.  532.4 K
4.  None of these

Orthoboric acid when heated to red hot gives-

Litharge is not commonly used in:
1. manufacture of special glasses
2. glazing pottery
3. preparing paints
4. lead storage battery

The product formed on heating Pb(NO₃)₂ are:
1. $PbO, N_2, O_2$
2. Pb(NO₂ )_2, O₂
3. $PbO, N{O}_2, O_2$
4. $Pb, N_2, O_2$

Which one of the following conformation of cyclohexane is chiral?
(1) Boat
(2) Twist
(3) Rigid
(4) Chair

Which of the following molecule will rotate the plane of plane polarised light?
(1)

(2)

(3)

(4)

The geometrical isomerism is shown by:
(1)
            
(2) 

(3) 
      
 (4) 

Which will not react with acetylene?
(1) NaOH
(2) Na
(3) HCl
(4) Amm. $AgN{O}_3$

Acetylene on reacting with hypochlorous acid gives:
(1) $C{H}_{3}COCl$
(2) $ClC{H}_{2}CHO$
(3) $C{l}_{2}CH.CHO$
(4) $ClC{H}_{2}COOH$

When $C{H}_{3}C{H}_{2}CHC{l}_2$ is treated with $NaN{H}_2$ the product formed is:
(1) $C{H}_{3}CH=C{H}_2$
(2) $C{H}_3-C\equiv CH$
(3)
 
(4) 

Which of the following reactions will yield 2, 2-dibromopropane?
(1) $C{H}_3-CH=C{H}_2+HBr\to$
(2) $C{H}_3-C\equiv CH+HBr\to$
(3) $C{H}_3-CH=CHBr+HBr\to$
(4) $CH\equiv CH+HBr\to$

The reagent for the following conversion is/are
  
(1) alc. KOH
(2) alc. KOH followed by ${\mathrm{NaNH}}_2$
(3) aqueous KOH followed by ${\mathrm{NaNH}}_2$
(4) $\mathrm{Zn}/{\mathrm{CH}}_3\mathrm{OH}$

In the relation $y=r\sin (\omega t-kx),$ the dimensional formula of $\omega /k$ are
(1) $\left[M^0{L}^0{T}^0\right]$
(2) $\left[M^0{L}^1{T}^{-1}\right]$
(3) $\left[M^0{L}^0{T}^1\right]$
(4) $\left[M^0{L}^1{T}^0\right]$

The least count of a stop watch is 0.2 s. The time of 20 Oscillations of a pendulum is measured to be 25 s. The percentage error in the measurement of time will be
(1) 8%
(2) 1.8%
(3) 0.8%
(4) 0.1%

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?

(1) 

(2)

(3)

(4)

In a rectangle ABCD (BC=2AB). The moment of inertia along which axis will be minimum?

(1) BC
(2) BD
(3) HF
(4) EG

When a disc rotates with uniform angular velocity , which of the following is not true?
(1) The sense of rotation remains same 
(2) The orientation  of the axis of the axis of rotation remains same
(3) The speed of the rotation is non zero and remains same
(4) The angular acceleration is non -zero and remains same  

A bus moves over a straight level road with a constant acceleration a. A body in the bus drops a ball outside. The acceleration of the ball with respect to the bus and the earth are respectively
(1) a and g
(2) a + g and g - a
(3) $\sqrt{a^2+g^2} and g$
(4) $\sqrt{a^2+g^2} and a$

What torque will increase angular velocity of a solid disc of mass 16 kg and diameter 1 m from zero to 120 rpm in 8 s?
$\left(1\right)\frac{\mathrm{\pi }}{4}N-m$
$\left(2\right)\frac{\mathrm{\pi }}{2}N-m$
$\left(3\right)\frac{\mathrm{\pi }}{3}N-m$
$\left(4\right)\mathrm{\pi } N-\mathrm{m}$
 

A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 s, the average acceleration during contact is nearly (Take g = 10 m$s^{-2}$)
(1) $1500\sqrt{2} m{s}^{-2} upwards$
(2) $1800 m{s}^{-2} downwards$
(3) $1500\sqrt{5} m{s}^{-2} upwards$
(4) $1500\sqrt{2} m{s}^{-2} downwards$

A boat is sent across a river with a velocity of 8 km/h. If the resultant velocity of boat is 10 km/h, then velocity of river is
1. 10 km/h
2. 8 km/h
3. 6 km/h
4. 4 km/h

If $\overrightarrow{A}·\overrightarrow{B} = 0 and \overrightarrow{A}\times \overrightarrow{B} = 1 , then \overrightarrow{A }and \overrightarrow{B} are$-
(1) perpendicular unit vectors
(2) parallel unit vectors
(3) parallel
(4) perpendicular

A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is
1. 25 N
2. 75 N
3. 87 N
4. 100 N

What is the torque of the force F=$(2i-3\hat{j}+4\hat{k})$ N acting at the point r=$(3\hat{i}+2\hat{j}+3\hat{k})$ M about the origin?
$\left(1\right)-17\hat{i}+6\hat{j}+13\hat{k}$
$\left(2\right)-6\hat{i}+6\hat{j}-12\hat{k}$
$\left(3\right)17\hat{i}-6\hat{j}-13\hat{k}$
$\left(4\right)6\hat{i}-6\hat{j}+12\hat{k}$
$$
 

The trajectories of two projectiles are shown in the figure. Let ${}_{}$\(T_{1}\) and \(T_{2}\) be the time periods and \(u_{1}\) and \(u_{2}\) their speeds of projection, then:
 
1. ${}_{}$\(T_{2}> T_{1}\)
2. \(T_{1}> T_{2}\)
3. \(u_{1}= u_{2}\)
4. \(u_{1}< u_{2}\)

A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?
1. 40 m
2. 45 m
3. 500 m
4. 50 m

A car-wheel is rotated with uniform angular acceleration about its axis. Initially, its angular velocity is zero. It rotates through an angle ${\theta }_1$ in the first 2 s, in the next 2 s, it rotates through an additional angle ${\theta }_2$, the ratio of $\frac{{\theta }_2}{{\theta }_1}$ is
(1) 1
(2) 2
(3) 3
(4) 5

A man of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis. The mass of the platform with the man on it rotates at 12.0 rpm. If the man now moves to centre of the platform, the rotational speed would become 
(1) 16.5 rpm
(2) 25.7 rpm
(3) 32.3 rpm
(4) 21.6 rpm

A circular disc rolls down an inclined plane . The ratio of the rotational kinetic energy to total kinetic energy is
$\left(1\right) \frac{1}{2}$
$\left(2\right) \frac{1}{3}$
$\left(3\right) \frac{2}{3}$
$\left(4\right) \frac{3}{4}$

A car of mass 2000 kg is moving with a speed of 10 m$s^{-1}$ on a circular path of radius 20 m on a level road. What must be the frictional force between the car and the road so that the car does not slip?
(1) ${10}^4 N$
(2) ${10}^3 N$
(3) ${10}^5 N$
(4) ${10}^2 N$

If the stretch in a spring of force constant k is doubled, find the ratio of final to initial force if the spring is stretched from y to 2y.
(1) 1 
(2) 2 
(3) 3 
(4) 4 

If a force of 250 N act on body, the momentum acquired is 125 kg-m/s. What is the period for which force acts on the body?
(1) 0.5 s
(2) 0.2 s
(3) 0.4 s
(4) 0.25

A sphere is accelerated upward by a cord whose breaking strength is four times its weight. The maximum acceleration with which the sphere can move up without breaking the cord is
(1) g
(2) 3g
(3) 2g
(4) 4g

If different planets have the same density but different radii then the acceleration due to gravity on the surface of the planet is related to the radius (R)of the planet as
$\left(1\right) g \alpha R^2$
$\left(2\right) g \alpha R$
$\left(2\right) g \alpha \frac{1}{R^2}$
$\left(4\right) g \alpha \frac{1}{R}$

A block of mass $\sqrt{3} kg$ rests on a horizontal frictionless xy-plane. What would be the acceleration of the block if it is subjected to two forces as shown in figure?

(1) 2.5 $m{s}^{-2}$
(2) 5 $m{s}^{-2}$ along y-axis
(3) 10 $m{s}^{-2}$ along x-axis
(4) 15 $m{s}^{-2}$ along y-aixs

A 1000 kg lift is supported by a cable that can support 2000 kg. The shortest distance in which the lift can be stopped when it is descending with a speed of 2.5 $m{s}^{-1}$ is [Take g = 10 $m{s}^{-2}$]
(1) 1 m
(2) 2 m
(3) $\frac{5}{32} m$
(4) $\frac{5}{16} m$

A plate of mass M is placed on a horizontal frictionless surface  and a body of mass m is placed on this plate. The coefficient of dynamic friction between this body and the plate is $\mu$. If a force 2$\mu mg$ is applied to the body of mass m along the horizontal, the acceleration of the plate will be
 
(1) $\frac{\mu m}{M}g$
(2) $\frac{\mu m}{(M+m)}g$
(3) $\frac{2\mu m}{M}g$
(4) $\frac{2\mu m}{(M+m)}g$

If a man speeds up by 1 m$s^{-1}$, his kinetic energy increases by 44%. His original speed in m$s^{-1}$ is
(1) 1 
(2) 2
(3) 5
(4) 4

Out of following the only correct statement about satellites is 
(1) A satellite cannot move in a stable orbit in a plane passing through the earth's centre
(2) Geostationary satellites are launched in the equatorial plane
(3) We can use just one geostationary satellite for global communication around the globe 
(4) The speed of satellite increases with an increase in the radius of its orbit 

A bullet when fired at a target with velocity of 100m$s^{-1}$ penetrates 1 m into it. If the bullet is fired at a similar target with a thickness 0.5 m, then it will emerge from it with a velocity of
(1) $50\sqrt{2} m/s$
(2) $\frac{50}{\sqrt{2}} m/s$
(3) 50 m/s
(4) 10 m/s

A 0.5 kg ball is thrown up with an initial speed 14 m$s^{-1}$ and reaches a maximum height of 8 m. How much energy is dissipated by air drag acting on the ball during the ascent?
(1) 19.6 J
(2) 4.9 J
(3) 10 J
(4) 9.8 J

A body of mass m is accelerated uniformly from rest to a speed v in a time T. The instantaneous power delivered to the body as a function of time is given by
(1) $\frac{1}{2}\frac{m{v}^2}{T^2}{t}^2$
(2) $\frac{1}{2}\frac{m{v}^2}{T^2}t$
(3) $\frac{m{v}^2}{T^2}{t}^2$
(4) $\frac{m{v}^2}{T^2}t$

Find the velocity of centre of the system shown in the figure.

(1) $\left(\frac{2+2\sqrt{3}}{3}\right)\hat{i}-\frac{2}{3}\hat{j}$
(2) 4 $\hat{i}$
(3)$\left(\frac{2-2\sqrt{3}}{3}\right)\hat{i}-\frac{2}{3}\hat{j}$
(4) None of these

A 1 m long wire is stretched without tension at 30$°$C between two rigid supports. What strain will be produced in the wire if the temperature falls to 0$°$C ?(Given $\alpha =12\times {10}^{-6} K^{-1}$)
$\left(1\right) 3.6\times {10}^{-5}$
$\left(2\right) 6.4\times {10}^{-5}$
$\left(3\right) 0.78$
$\left(4\right) 0.32$
 

If the compressibility of water is $\sigma$ per unit atmospheric pressure, then the decrease in volume (V) due to atmospheric pressure p will be
$\left(1\right)\sigma p/V$
$\left(2\right) \sigma pV$
$\left(3\right) \sigma /pV$
$\left(4\right) \sigma V/p$

Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights through which liquid will rise in the tubes is
(1) 1 : 2
(2) 2 : 1
(3) 1 : 4
(4) 4 : 1

What should be the lengths of a steel and copper rod at $0°$C so that the length of the steel rod is 5 cm longer than the copper rod at any temperature?
${\alpha }_{ \left(Steel\right)}=1.1\times {10}^{-5} °C^{-1}$
${\alpha }_{\left(Copper\right)}=1.7\times {10}^{-5} °C^{-1}$
(1) 14.17 cm; 9.17 cm
(2) 9.17 cm; 14.17 cm
(3) 28.34 cm; 18.34 cm
(4) 14.17 cm; 18.34 cm 

The temperature of a black body is increased by 50%, then the percentage of increase of radiation is approximately
(1) 100%
(2) 25%
(3) 400%
(4) 500%

For a gas, if the ratio of  specific heats at constant pressure and constant volume is $\gamma$, then the value of degree of freedom is
(1) $\frac{\gamma +1}{\gamma -1}$
(2) $\frac{\gamma -1}{\gamma +1}$
(3) $\frac{(\gamma -1)}{2}$
(4) $\frac{2}{\gamma -1}$

An engine has an efficiency of 1/3. The amount of work this engine can perform per kilocalorie of heat input is
(1) 1400 cal
(2) 700 cal
(3) 700 J
(4) 1400 J

The surface area of air bubble increases four times when it rises from bottom to top of a water tank where the temperature is uniform. If the atmospheric pressure is 10 m of water, the depth of the water in the tank is 
(1) 30m
(2) 40m
(3) 70m
(4) 80m

What is the nature of change in internal energy in the following three thermodynamic processes shown in figure?

(1) $∆U$ is  positive in all the three cases
(2) $∆U$ is negative in all the three cases
(3) $∆U$ is positive for (i), negative for (ii), zero for (iii)
(4) $∆U$ = 0, in all the cases

A block is resting on a piston which is moving vertically with SHM of period 1.0 s. At what amplitude of motion will the block and piston separate?
(1) 0.2 m 
(2) 0.25 m
(3) 0.3 m
(4) 0.35 m

When the displacement is half of the amplitude, then what fraction of the total energy of a simple harmonic oscillator is kinetic?
(1) 2/7
(2) 3/4
(3) 2/9
(4) 5/7

A beaker containing water is balanced on the pan of a common balance. A solid of specific gravity 1 and mass 5 g is tied to the arm of the balance and immersed in water contained in the beaker. The scale pan with the beaker
(1) goes down
(2) goes up
(3) remains unchanged 
(4) none of these
 

A 1000 Hz sound wave in air strikes the surface of a lake and penetrates into water. If speed of sound in water is 1500 $m{s}^{-1}$, the frequency and wavelength of waves in water are
(1) 1500 Hz, 1 m
(2) 1000 Hz, 1.5 m
(3) 1000 Hz, 1 m
(4) 1500 Hz, 1.5 m

A stretched string of length l fixed at both ends virating in 'n' loops can sustain stationary waves of wavelength $\lambda$ given by -
(1) $\lambda$ = 2ln
(2) $\lambda$ = 2l/n
(3) $\lambda =l^2/2n$
(4) $\lambda =n^2/2l$