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In the five kingdom, which single kingdom contains blue-gren algae, nitrogen fixing bacteria, and methanogenic archaebactera?
(1) Monera
(2) Protista
(3) Plantae
(4) Fungi

Which of the following developed for the first time in Annelids?
(1) Cephalization
(2) True coelom
(3) Metameric segmentation
(4) Both 2 and 3

Which of the following statements regarding Euglenoids is not true?

Consider the following sets of some animals. The set that consists of all animals belonging to the same phylum is:
1. Pinctada, Aplysia, Chaetopleura
2. Dentallium, Pila, Echinus
3. Asterias, Antedon, Ascidia
4. Adamsia, Gorgonia, Pleurobrachia

Homeothermy is exhibited by:
(1) All amniotes
(2) Birds and Mammals
(3) All dueterostomes
(4) Reptiles and Mammals

Meiosis I:
 1. is always followed by interphase
 2. is not followed by any period of rest
 3. is followed by a period of interkinesis
 4. is sometimes followed by interphase

In guard cell when sugar is converted into starch, the stomatal pore
1. opens partially
2. opens completely 
3. closes completely
4. Remains unchanged

The plant Cuscuta is a:
1. Partial root parasite
2. Partial stem parasite
3. Total root parasite
4. Total stem parasite

Pellagra is greatly exacerbated in people on corn diet, because corn is deficient in the amino acid:
(1) tyrosine tyrosine
(2) tryptophan
(3) glycine
(4) lysine

Many of the pancreatic enzymes must be activated by trypsin before they can begin digesting food. But trypsin itself requires the activating effect of:-
1. chymotrypsin
2. carboxypeptidase
3. phospholipase
4. enterokinase

Oxalates and citrates are used as anticoagulants in stored blood because they:
(1)  Chelate calcium ions
(2)  Act as competitive inhibitors of vitamin K
(3)  Potentiate antithrombin III
(4)  Activate Heparin

Which of the following is a correct statement:
1. The volume of blood in pulmonary circulation is more than the volume of blood in systemic circulation at any instant
2. The blood pressure in pulmonary circulation is less than that of the systemic circulation
3. Double circulation is characteristic of all vertebrates
4. A double aortic arch is seen in birds and mammals

The normal value of GFR is approximately:
1. 650 ml/min
2. 180 ml/min
3. 180 ml/day
4.125 ml/min

Which of the following glands secretes the hormone melatonin?
1. anterior pituitary gland.
2. melanocytes.
3. pineal gland.
4. suprachiasmatic nucleus of hypothalamus.

Identify the option where all the columns are not correctly matched:

Which of the following is not an Echinoderm character?
1. Exclusively marine
2. Radial symmetry in adults
3. Protostome embryonic development
4. Water vascular system

Birds are not characterized by:
1. Forelimbs modified into wings
2. Fully ossified endoskeleton
3. Skin dry without glands except for oil gland
4. Oviparous and external fertilization

What is incorrect regarding Periplaneta americana?
1. Excretion by malpighian tubules
2. Hemolymph delivering oxygen to tissues
3. Paurometabolous development
4. Mosaic vision

The type of cartilage present in the epiglottis, pinna and tip of the nose is:
(1) Elastic
(2) Hyaline
(3) Fibrous
(4) Calcified

The suffix that denotes the taxonomic category 'Family' in plants would be
(1) -ae
(2) -aceae
(3) -ales
(4) -nae

Identify the incorrectly matched pair:
1. Diatoms: Chief producers in oceans
2. Dinoflagellates: Red tides
3. Slime moulds: Spores dispersed by water
4. Euglenoids: Protein rich pellicle

The domain Archaea is not characterized by:
(1) Pseudopeptidoglycan in cell wall
(2) Linear chromosomes
(3) Introns present is some genes
(4) Methanogeneisis as unique metabolism

Which pair[s] is/are in incorrectly matched?
I. Phaeophyceae - Algin in cell wall
II. Chlorophyceae - Laminarin is stored food
III. Rhodophyceae - 2, unequal, lateral flagella
(1) Only II
(2) Only III
(3) I and II only
(4) II and III only

The gemmae produced by some liverworts function as:
1. A water gathering structure
2. A light capturing structure
3. A sexual structure
4. An asexual structure

All the following differentiate gymnosperms from the higher cryptogams except:
(1) Presence of an independent green gametophyte
(2) development of an ovule
(3) Formation of the pollen tube
(4) Presence of cambium

Heterosporous pteridophyte includes both:
1. Lycopodium and Equisetum
2. Selaginella and Salvinia
3. Psilotum and Phylloglossum
4. Selaginella and Equisetum

The life cycle is not haplo-diplontic in:
1. Bryophytes
2. Pteridophytes
3. Polysiphonia
4. Fucus

In Australian Acacia, the petiole or any part of rachis becomes flattened taking the shape of a leaf and turning green in color. This structure is called as:
(1) Phylloclade
(2) Cladode
(3) Phyllode
(4) bulbil

In the ray florets of sunflower, the condition of the flower is termed as:
1. Superior
2. Inferior
3. Epigynous
4. Hypogynous

China rose is not characterized by:
(1) Axile placentation
(2) Valvate aestivation
(3) Monoadelphous stamen
(4) Superior ovary

The given floral formula describes:
Br ⊕   P₍₃₊₃₎ A₃₊₃ G₍₃₎
1. Asparagus
2. Belladonna
3. Indigofera
4. Mustard

The term 'bark' includes: 
I.      Phellogen
II.     Phellem
III.    Phelloderm
IV.     Secondary phloem
1.       I, II and III only
2.       I, II and IV only
3.       II, III and IV only
4.       I, II, III and IV only

Gas vacuoles allow cyanobacteria to:
1. Store carbon dioxide for assimilation
2. Control their buoyancy
3. Provide anaerobic conditions to nitrogenase
4. Eliminate toxic ammonia

The lipid component of the plasma membrane mainly consists of:
1. Triglycerides
2. Cholesterol
3. Phosphoglycerides
4 Proteins

The endomembrane system of a eukaryotic cell includes all except:
1. Vacuoles
2. Lysosomes
3. Peroxisomes
4. Golgi complex

Carotenoid pigments are found in:
I. Chloroplasts
II. Chromoplasts
III. Leucoplasts
(1) Only I
(2) Only I and II
(3) Only II
(4) I, II and III

Microbodies, which help to convert stored lipids into carbohydrates so they can be used for plant growth, are known as:
1. Peroxisomes
2. Sphaerosomes
3. Glyoxysomes
4. Lysosomes
 

Identify the option, where all the columns are not matched correctly:

The vitamin Niacin functions as a coenzyme in:
1. Nucleoprotein synthesis
2. Hydrogen transport
3. Fatty acid synthesis
4. RBC production

If the DNA content of an onion tip cell is 2C at the end of the M-phase, what would be its DNA content at the end of the S-phase?
1. C
2. 2C
3. 3C
4. 4C

The smallest amount of pressure needed to stop fluid from moving by osmosis is referred to as the
 1. Turgor pressure 
 2. Water potential
 3. Pressure potential
 4. Osmotic pressure

Identify the incorrectly matched pair
    Mineral                     Functions in plants
1. Potassium                 Opening and closing of stomata, Activation of enzymes
2. Magnesium                Maintenance of ribosome structure, Structure of chlorophyll
3. Boron                        Pollen germination, Carbohydrate translocation
4. Molybdenum               Water splitting in photosynthesis, Nitrogen metabolism

The mitochondrial electron transport chain is located in:
1. Outer membrane
2. Inner membrane
3. Inter membrane space
4. Matrix

Identify the option where all the columns are not correctly matched:

The parietal cells or the oxyntic cells located in the stomach's gastric pits mainly secrete:-
1. HCI and Intrinsic factor
2. Pepsinogen and Gastric lipase
3. Pepsinogen and Pro-rennin
4. Gastrin and Mucus

An individual who is blood type AB negative:
1. can receive any blood type in moderate amounts.
2. can receive any blood type in moderate amounts except that with the Rh antigen.
3. can donate to all blood types in moderate amounts.
4. can receive types A, B, and AB but not type O.

The first heart sound or the 'lubb' is produced:
1. Near the end of the atrial systole
2. Immediately after the start of the ventricular systole
3. Near the end of the ventricular systole
4. Immediately after the start of the ventricular diastole

Excretion of dilute urine requires

Identify the incorrectly matched pair:
      Joint                                             Type
1. Proximal radio-ulnar joint                 Pivot
2. Joint between the carpals               Gliding
3. Joint between metacarpal of           Saddle
    thumb and phalange
4. Humero-ulnar joint                         Hinge

The globular head of the myosin filament has active site/s for binding to:
 I. ATP
II. the binding site for actin filament 
III. Calcium
1. Only I
2. Only I and II
3. Only II and III
4. I, II, and III

Immediately after an action potential has peaked, which cellular gates open?
1. Sodium
2. Chloride
3. Calcium
4. Potassium

The stapes sends its vibrations to 
1. Incus 
2. Round window
3. Tympanic membrane
4. Oval window

Identify the incorrect statement:
1. In males FSH regulates spermatogenesis
2. Thyroid gland produces T3 and thyroxine (T4) hormones
3. ACTH stimulates secretion of glucocorticoids
4. PTH is a hyperglycemic hormone

Hormones that act by interacting with intracellular include all the following except:
1. Thyroxin
2. Estrogen
3. Epinephrine
4. Cortisol 

Rearrange the following (I to IV) in the order of increasing masses and choose answer from (1), (2), (3) and (4) (Atomic mass : N=14, O=16 Cu = 63)
I. 1 molecule of oxygen
II. 1 atom of nitrogen
III. 1 x 10^-10g molecule-weight of oxygen
IV. 1 x 10^-10g atom-weight of copper
1. II < I < III < IV
2. IV < III < II < I
3. II < III < I < IV
4. III < IV < I < II

The equivalent weight of H₃PO₂, when it disproportionates into PH₃ and H₃PO₃ is 
1. 66
2. 49.5
3. 33
4. 20.5

The ratio of the difference in energy between the first and second Bohr orbit of H to that between the second and the third Bohr orbit is 
1. 1/2
2. 1/3
3. 4/9
4. 27/5

How many moles of FeC₂O₄ are required to reduce one mole of KMnO₄ in acidic medium?
1. 3/5
2. 1/5
3. 5/3
4. 5

At constant temperature, 200 cm³ of N₂ at 720 mm and 400 cm³ of O₂ at 750 mm pressure are put together in a one-litre flask. The final pressure of the mixture is- 
1. 111 mm
2. 222 mm
3. 333 mm
4. 444 mm

The rate of diffusion of two gases A and B is in the ratio of 1:4 and the B and C in the ratio 1:3 the rate of diffusion of C with respect to A is 
1. 1/12
2. 12
3. 3
4. 4

A sample of air contains only N₂, O₂ and H₂O. It is saturated with water vapours and the total pressure of 640 torr. The vapoure pressure of water is 40 torr and the molar ratio of N₂:O₂ is 3:1. The partial pressure of N₂ in the sample in 
1. 480 torr
2. 600 torr
3. 525 torr
4. 450 torr

The temperature at which the r.m.s velocity of carbon dioxide becomes the same as that of nitrogen at 21⁰C is-
1. 462 ^oC
2. 273 K
3. 189 ^oC
4. 546 K

At what temperature will the total K.E. of 0.3 mol of He be the same as the total K.E. of 0.4 mol of Ar at 400 K
1. 400K
2. 300K
3. 346K
4. 533K

The isostere pair is
1. CO₂ and N₂O
2. CO and N₂
3. O₂ and NO₂
4. Both (1) and (2)

For exothermic reaction to be spontaneous ($∆\mathrm{S}$=negative) temperature must be -

Which of the following conditions should be satisfied for the given reaction to be spontaneous at 0$°$C and 1 atm?
H₂O(s) $\rightleftharpoons$H₂O(l)
(1) $∆\mathrm{H}=∆\mathrm{G}$
(2) $∆\mathrm{H}<\mathrm{T}.∆\mathrm{S}$
(3) $∆\mathrm{H}>\mathrm{T}.∆\mathrm{S}$
(4) $∆\mathrm{H}=\mathrm{T}.∆\mathrm{S}$

'The free energy change due to a reaction is zero when-
1. The reactants are initially mixed.
2.  A catalyst is added
3. The system is at equilibrium
4. The reactants are completely consumed

In the reaction, 2Cu⁺ $\to$Cu + Cu²⁺, the equivalent weight of Cu⁺ is (M is the mol. wt. of Cu⁺)
1. M
2. M/2
3. M/4
4. 2M

Equal volumes of 1M each of KMnO₄ and ${\mathrm{K}}_2{\mathrm{Cr}}_2{\mathrm{O}}_7$ are used to oxidize Fe(II) solution in acidic medium. The amount of Fe oxidized will be
1. More with  KMnO₄ 
2. More with K₂Cr₂${\mathrm{O}}_7$ 
3. Equal with both oxidising agent
4. Cannot be determined

Which of the following is Redox reaction?
1. 2Cr${\mathrm{O}}_4^{2-}$ + 2H⁺ $\to$Cr₂${\mathrm{O}}_7^{2-}$ + H₂O
2. CuSO₄ + 4NH₃ $\to$[Cu (NH₃)₄] SO₄
3. 2Na₂S₂O₃ + I₂ $\to$Na₂S₄O₆ + 2NaI
4. Cr₂${\mathrm{O}}_7^{2-}$ + 2OH^- $\to$2Cr${\mathrm{O}}_4^{2-}$ + H₂O

In the following reaction, balancing coefficients X and Y are:
X HI + Y HNO₃ $\to$NO + I₂ + H₂O
1. X=3, Y=2
2. X=2, Y=3
3. X=6, Y=2
4. X=6, Y=1

The solubility product constant (K_sp) of salts of types MX, MX₂ and M₃X at temperature T are 4.0 X 10^-8, 3.2 X 10^-14 and 2.7 X 10^-15 respectively. Solubilities(mol dm^-3) of the salts at temperature T are the order:
1. MX > MX₂ > M₃X
2. M₃X > MX₂ > MX
3. MX₂ > M₃X > MX
4. M₃X >MX > MX₂

Select the correct order of solubility (in water) from the following:
1. SrSO₄ < CaSO₄ < MgSO₄ < BeSO₄
2. NaF < KF < RbF < CsF
3. Ba(OH)₂ > Sr(OH)₂ > Ca(OH)₂ > Mg(OH)₂
4 All of the above

The hydride of group 16 having highest boiling point is:
1. H₂O because of H-bonding
2. H₂Te because of higher molecular weight
3. H₂S because of H-bonding
4. H₂Se because of lower molecular weight

Match list-I with list II and select the correct answer using codes given below:
1. List-I Ions                                List-II Radius (in pm)
(I) Li⁺                                         (a) 216
(II) Na⁺                                      (b) 195
(III) Br^-                                      (c) 60
(IV) I^-                                        (d) 95
     Codes:
      I   II   III   IV
1.   a   b    d    c
2.   b   c    a    d
3.   c   d    b    a
4.   d   c    b    a 

The screening effect of d-electrons is :
1. Equal of the p-electrons
2. Much more than p-electrons
3. Same as f-electron
4. Less than p-electrons 

The IUPAC name of
1. 2,3-diethyl butane
2. 3,4-dimethyl hexane
3. 3-methyl pentane
4. 2-ethyl 3-methyl pentane

Which reagent distinguish propyne and propene?
1. Alkaline ${\mathrm{KMnO}}_4$
2. ${\mathrm{Cu}}_2{\mathrm{Cl}}_2$ + ${\mathrm{NH}}_4\mathrm{Cl}$
3. ${\mathrm{Br}}_2$ water
4. ${\mathrm{Cu}}_2{\mathrm{Cl}}_2$ + ${\mathrm{NH}}_4\mathrm{OH}$

When propane is reacted with conc. ${\mathrm{HNO}}_3$ at $400-500°\mathrm{C}$ the number of nitroalkanes obtained are 
1. 1                              2. 2
3. 3                              4. 4  

0.5 g nitrogeneous compound is reacted with excess of NaOH then ${\mathrm{NH}}_3$ is evolved. The evolved ${\mathrm{NH}}_3$ is passed into 100 ml N/2 ${\mathrm{H}}_2{\mathrm{SO}}_4$ The excess acid required 30 ml 1N NaOH. The percentage of nitrogen in nitrogeneous compound is 
1. 28
2. 56
3. 70
4. 90

The most reactive of these compounds towards sulphonation is
1. Toluene                2. Chlorobenzene
3. Nitrobenzene        4. m-Xylene

In the above compound, arrange the nitrogen according to their decreasing basic strength.
1. 1>2>3>4
2. 4>3>1>2
3. 2>4>1>3
4. 3>4>1>2

The most stable carbanion among the following is-

1.		2.
3.		4.

The correct order of $C-O bond length among CO, C{O_3}^{2-} and C{O}_2 is:$
1. $CO<C{O}_2<C{O_3}^{2-}$
2. $C{O}_2<C{O_3}^{2-}<CO$
3. $CO<C{O_3}^{2-}<C{O}_2$
4. $C{O_3}^{2-}<C{O}_2<CO$

From the B₂H₆ all the following can be prepared except:
(1) H₃BO₃
(2) [BH₂(NH₃)₂]+ [BH₄]-
(3) B₂(CH₃)₆
(4) NaBH₄

Two identical copper spheres each of radius R are in contact with each other. If the gravitational attraction between them is F, then which of the relation is correct?
1. $F\propto R^2$
2. $F\propto R^4$
3. $F\propto 1/R^2$
4. $F\propto 1/R^4$

Kepler's second law regarding constancy of the areal velocity of a planet is a consequence of the law of conservation of:
1. Energy
2. Linear momentum
3. Angular momentum
4. Mass

A particle of mass m=5 is moving with a uniform speed $v=3\sqrt{2}$ in the XOY plane along the line Y=X+4. The magnitude of its angular momentum about origin is
(1) zero 
(2) 60 units
(3) 40 units
(4) 40$\sqrt{2}$ units

A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two-point
masses m and 2m moving in the same horizontal plane with speeds 2v and v
respectively strike the bar as shown below in the figure and stick to the bar after the collision. Denoting angular velocity about the center of mass, total energy, and center of mass velocity of $\omega$, E and ${\mathrm{v}}_{\mathrm{c}}$ respectively, we have after collision
                   
1.  ${\mathrm{v}}_{\mathrm{c}} = 2 \mathrm{m}/\mathrm{s}$
2.  $\mathrm{\omega } = \frac{3}{5}\frac{\mathrm{v}}{\mathrm{a}}$
3.  $\mathrm{\omega } = \frac{\mathrm{v}}{5\mathrm{a}}$
4.  $\mathrm{E} = \frac{2}{3} {\mathrm{mv}}^2$

What are the dimensions of latent heat?
(1) $M{L}^2{T}^{-2}$
(2) $M{L}^{-2}{T}^{-2}$
(3) $M^{0}L{T}^{-2}$
(4) $M^0{L}^2{T}^{-2}$

A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle $\theta$ with respect to the river. If AB=BC=400m. Then-

(1) time taken by the man is 12 min
(2) time taken by the man is 8 min
(3) the value of $\theta$ is 45$°$
(4) the value of $\theta$ is 53$°$

A point moves in a straight line under the retardation a${\mathrm{v}}^2$. If the initial velocity is \(\mathrm{u},\) the distance covered in \(\mathrm{t}\) seconds is:
1. $\mathrm{aut}$
2. $\frac{1}{\mathrm{a}}\ln$ $\left(\mathrm{aut}\right)$
3. $\frac{1}{\mathrm{a}}\ln$ $\left(1+\mathrm{aut}\right)$
4. $\mathrm{a}$ $\ln$ $\left(\mathrm{aut}\right)$

A particle of mass m is execuing oscillations about the origin on the x-axis. Its potential energy is $U\left(x\right)=K|x{|}^3$, where K is a positive constant. If the amplitude of oscillation is a, then its time period T is:
(1) proportional to $\frac{1}{\sqrt{a}}$
(2) independent of a 
(3) proportional to $\sqrt{a}$
(4) proportional to $a^{3/2}$

A particle is thrown upwards from ground. It experiences a constant resistance force which can produce retardation of 2 $m/s^2$. The ratio of time of ascent to the time of descent is: $[g=10 m/s^2]$
(1) 1:1
(2) $\sqrt{\frac{2}{3}}$
(3) $\frac{2}{3}$
(4) $\sqrt{\frac{3}{2}}$

 A body is thrown horizontally with a velocity $\sqrt{2gh}$ from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is:

A stone is projected from a horizontal plane. It attains maximum height, 'H', and strikes a stationary smooth wall & falls on the ground vertically below the maximum height. Assuming the collision to be elastic, the height of the point on the wall where the ball will strike will be:
        

If a sound source of frequency n approaches an observer with velocity v/4 and the observer approaches the source with velocity v/5, then the apparent frequency heard will be-
1.  (5/8)n
2.  (8/5)n
3.  (7/5)n
4.  (5/7)n
 

Two blocks A and B of masses m & 2m respectively are held at rest such that the spring is in natural length. Find the accelerations of both the blocks just after release.

(1) $g\downarrow , g\downarrow$
(2) $\frac{g}{3}\downarrow , \frac{g}{3}\uparrow$
(3) (0, 0)
(4) $g\downarrow , 0$

Two blocks 'A' and 'B' each of mass 'm' are placed on a smooth horizontal surface. Two horizontal force F and 2F are applied on both the blocks 'A' and 'B' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is:

(1) F
(2) F/2
(3) $\frac{F}{\sqrt{3}}$
(4) 3F

Five persons A, B, C, D & E are pulling a cart of mass 100 kg on a smooth surface and the cart is moving with acceleration 3 $\mathrm{m}/{\mathrm{s}}^2$ in east direction. When person 'A' stops pulling, it moves with acceleration 1 $\mathrm{m}/{\mathrm{s}}^2$ in the west direction. When person 'B' stops pulling, it moves with acceleration 24 $\mathrm{m}/{\mathrm{s}}^2$ in the north direction. The magnitude of the acceleration of the cart when only A & B pull the cart keeping their directions same as the old directions are:
1.  26 $\mathrm{m}/{\mathrm{s}}^2$
2.  $3\sqrt{71} \mathrm{m}/{\mathrm{s}}^2$
3.  25 $\mathrm{m}/{\mathrm{s}}^2$
4.  30 $\mathrm{m}/{\mathrm{s}}^2$

A weightless rod of length 2l carries two equal mass 'm', one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in a vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in the horizontal position. The speed of the mass B at the instant rod becomes vertical is:

(1) $\sqrt{\frac{3gl}{5}}$
(2) $\sqrt{\frac{4gl}{5}}$
(3) $\sqrt{\frac{6gl}{5}}$
(4) $\sqrt{\frac{7gl}{5}}$

A body moves along an uneven surface with constant speed at all points. The normal reaction due to ground on the body is:
     

A particle of mass m is moving at speed v perpendicular to a rod of length d and mass M = 6m which pivots around a frictionless axle running through its centre. It strikes and sticks to the end of the rod. The moment of inertia of the rod about its centre is $M{d}^2/12$. Then the angular speed  of the system just after the collision is:

1. 2v/3d
2. 2v/d
3. v/d
4. v

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The ratio of inertia of the loop about x-axis to that about y-axis is:
                     
1.  >1
2.  <1
3.  =1
4.  =1/2

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis about one of the sides of the square is
(1) $M{a}^2+2M{b}^2$
(2) $M{a}^2$
(3) $M{a}^2+4M{b}^2$
(4) $\frac{8}{5}M{a}^2+2M{b}^2$

The elastic energy stored in a wire of Young's Modulus Y is -
1. $\mathrm{Y}\times \frac{{\mathrm{strain}}^2}{\mathrm{volume}}$
2. $\mathrm{stress}\times \mathrm{strain}\times \mathrm{volume}$
3. $\frac{{\mathrm{strain}}^2\times \mathrm{volume}}{2\mathrm{Y}}$
4. $\frac{1}{2}\times stress\times strain\times volume$

Heat capacity is equal to the product of:
1.  mass and gas constant
2.  mass and specific heat
3.  latent heat and volume of water
4.  mass and Avogadro number
 

If $W_1$ is the work done in compressing an ideal gas from a given initial state through a certain volume isothermally and $W_2$ is the work done in compressing the same gas from the same initial state through the same volume adiabatically, then:
(1) $W_1=W_2$
(2) $W_1<W_2$
(3) $W_1>W_2$
(4) $W_1=2W_2$

An ideal gas changes from state 'a' to state 'b' as shown in figure. What is the work done by the gas in the process?

1. zero
2. positive
3. negative
4. infinite

Maxwell's velocity distribution curve is given for two different temperatures. For the given curves-
                    
1. $T_1>T_2$
2. $T_1<T_2$
3. $T_1\le T_2$
4. $T_1=T_2$

$\mathrm{The} \mathrm{root}-\mathrm{mean}-\mathrm{square} \left(\mathrm{rms}\right) \mathrm{speed} \mathrm{of} \mathrm{oxygen} \left({\mathrm{O}}_2\right) \mathrm{molecules} \mathrm{at} \mathrm{a} \mathrm{certain} \mathrm{absolute} \mathrm{temperature} \mathrm{is} \mathrm{v}. \mathrm{If} \mathrm{the}$
$\mathrm{temperature} \mathrm{is} \mathrm{doubled} \mathrm{and} \mathrm{the} \mathrm{oxygen} \mathrm{gas} \mathrm{dissociates} \mathrm{into} \mathrm{atomic} \mathrm{oxygen}, \mathrm{the} \mathrm{rms} \mathrm{speed} \mathrm{would} \mathrm{be}$
1.  $\mathrm{v}$
2.  $\sqrt{2}\mathrm{v}$
3.  $2\mathrm{v}$
4.  $2\sqrt{2}\mathrm{v}$
 

A particle undergoes SHM with a time period of 2 seconds. In how much time will it travel from its mean position to a displacement equal to half of its amplitude?
(1) $\frac{1}{2}s$
(2) $\frac{1}{6}s$
(3) $\frac{1}{4}s$
(4) $\frac{1}{3}s$

The uniform stick of mass m length L is pivoted at the centre. In the equilibrium position shown in the figure, the identical light springs have their natural length. If the stick is turned through a small angle $\theta$, it executes SHM. The frequency of the motion is:

(1) $\frac{1}{2\mathrm{\pi }}\sqrt{\frac{6K}{m}}$
(2) $\frac{1}{2\mathrm{\pi }}\sqrt{\frac{3K}{2m}}$
(3) $\frac{1}{2\mathrm{\pi }}\sqrt{\frac{3K}{m}}$
(4) None of these

If the displacement x and the velocity v of a particle executing simple harmonic motion are related through the expression $4v^2=25-x^2$,then its time period will be:

If the equation of a progressive wave is given by -
$y\left(m\right)= 4 \sin \mathrm{\pi } \left[\frac{\mathrm{t}}{5} - \frac{\mathrm{x}}{9} + \frac{\mathrm{\pi }}{6}\right]$
Then which of the following is correct?
1.  v = 5 cm/s
2.  $\mathrm{\lambda }$ = 18 m
3.  A = 0.04 cm
4.  f = 50 Hz
 

The extension in a string obeying Hooke's law, is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5x, the speed of sound will be-
1.  1.22 v
2.  0.61 v
3.  1.50 v
4.  0.75 v

The equation of plane progressive wave motion is y=a sin 2$\mathrm{\pi }/\mathrm{\lambda }$(vt-x). Velocity of particle is
(1) $y\frac{dv}{dx}$
(2) $v\frac{dy}{dx}$
(3) $-y\frac{dv}{dx}$
(4) $-v\frac{dy}{dx}$

The third overtone of a closed pipe is observed to be in unison with the second overtone of an open pipe. The ratio of the lengths of the pipes is:

What is the ratio of the number of atoms in 2.2 g of CO₂ and in 1.7 g of NH₃?

Which of the following molecules exhibits H-bonding?

Hybridisation of N in pyrrole  is
1. sp                               
2. sp²
3. sp³                             
4. sp³d

 The correct stability order for the following species is:

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

In the figure shown, the potential energy U of a particle is plotted against its position 'x' from the origin. Then which of the following statement is correct?

1. ${\mathrm{x}}_1$ is in stable equilibrium
2. ${\mathrm{x}}_2$ is in stable equilibrium
3. ${\mathrm{x}}_3$ is in stable equilibrium
4. none of these

A train of mass M is moving on a circular track of radius 'R' with constant speed v. The length of the train is half of the perimeter of the track. The linear momentum of the train will be 
1. 0
2. $\frac{2\mathrm{Mv}}{\mathrm{\pi }}$
3. MvR
4. Mv

A 2kg toy car can move along an x-axis. The graph shows force ${\mathrm{F}}_{\mathrm{x}}$, acting on the car which begins at rest at time t = 0. The velocity of the car at t = 10 s is :
 
1. $-\hat{\mathrm{i}}$ m/s
2. $-1.5 \hat{\mathrm{i}}$ m/s
3. $6.5 \hat{\mathrm{i}}$ m/s
4. $13 \hat{\mathrm{i}}$ m/s

In the figure shown, a small solid spherical ball of mass 'm' can move without sliding in a fixed semicircular track of radius R in vertical plane. It is released from the top. The resultant force on the ball at the lowest point of the track is :

1. $\frac{10 \mathrm{mg} }{7}$
2. $\frac{17 \mathrm{mg} }{7}$
3. $\frac{3 \mathrm{mg} }{7}$
4. zero