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Identify the correct statement regarding typhoid fever in human beings:
1. It is caused by a pathogenic protozoan Salmonella typhi
2. The pathogen remains confined to the small intestine
3. Widal test can confirm the infection very early in the disease
4. Intestinal perforation and death may occur in severe cases

A common cause of pneumonia in humans is:

Aedesaegypti is not a vector for:

The cannabinoids receptors are principally located in the central nervous system. The other location where they are present is:

Which of the following is not a documented effect of alcoholism?

Philadelphia chromosome is associated with:
1. Retinoblastoma
2. Chronic Myeloid Leukemia
3. Xerodermapigmentosum
4. Kaposi’s sarcoma

Plants do not have cancers as:

HIV selectively infects and destroys:

The most common opportunistic infection associated with AIDS is:

The granulocytes that are actively phagocytic and the most numerous of the leukocytes circulating in the blood are the:

All of the following are true regarding inflammation except:

IgM:

Many physicians prefer mother's milk over cow's milk for infants. This is because mother's milk has the following property not found in cow's milk.

A plasma cell is a _____ cell that produces ______.

Opsonization :

The epitope is the part of the :

What type of immunity is induced by the hepatitis B vaccine?
1. naturally acquired active immunity.
2. naturally acquired passive immunity.
3. artificially acquired active immunity.
4. artificially acquired passive immunity.

The enzyme present in lysosomes belong to the class ______ & acidic condition inside is maintained by ______

Which of the following statement is not concerned with fluid mosaic model of plasma membrane?

Which of the following is not a microtubular organelle?

Select the incorrect statement with respect to prokaryotic cells

In human beings, the membrane of erythrocyte has

A number of proteins synthesized by ribosomes on the endoplasmic reticulum are modified in the ______ of the Golgi apparatus before they are released from its trans face

How many microtubules are associated with the structure of centriole?

Granular endoplasmic reticulum is associated with which of the following functions?

Which of the following plastids store fats?

In plants, which of the following microbody is involved in photorespiration?

Which of the following cellular organelles is/are bound by a single membrane?
        Peroxisomes, lysosomes, mitochondria

Ribosomes attach to ER by its

All are membrane bounded cell organelles in a typical plant cell, except

Plasmodesmata connections help in

A nuclear pore allows

Disc shaped proteinaceous structure attached to centromere of a chromosome is called

Correct statement in relation to vacuoles is

Find out the incorrect statement

Vesicles from ER fuse with

Fluidity of the cell membrane is measured

Which of the following cell organelle is a major site for the synthesis of steroidal hormones?

The content of nucleolus is continuous with nucleoplasm

The central part of proximal region of centriole is called hub which is made of

Glycosylation, general secretion and recycling of broken plasma membrane are functions specifically performed by

Many of the organelle show coordination in their functions and are considered together as an endomembrane system. Find odd one out with respect. this statement

A. Most dramatic period of cell cycle involving a major reorganization of virtually all components of the cell
B. It represents the phase when the actual cell division occurs
These statements (A & B) are concerned with
1. S-phase
2. G₁ phase
3. M-phase
4. G₂ phase

Select the correct statement

Interkinesis stage of cell cycle

Select the incorrect statement

Cells that do not divide further exit G₁ phase to enter an inactive stage called

Select the odd one out with respect to mitosis

Select the mis-matched pair

Microtubules from opposite poles of the spindle attach to the pairs of homologous chromosomes during

Exchange of genetic material between two homologous chromosomes occurs in

How many meiotic divisions are required to produce 50 wheat grains?

A typical eukaryotic cell cycle is illustrated by human cells in culture. These cells divide once in approximately every

Choose incorrect statement with respect to cell cycle

Choose the correct sequence with respect to  different phases of cell cycle

Human nerve cells do not divide after birth and they remain throughout their life in which phase of cell cycle?

Various phases of cell cycle are controlled by

Read the following four statements 1, 2, 3 & 4 and select the right option having both correct statements.
1. First two stages of prophase I are relatively short lived compared to pachytene
2. Meiosis II is initiated immediately after karyokinesis of meiosis I
3. Meiosis increases the genetic variability in the population of organisms from one generation to the next
4. In plants, miotic cell division is only seen in diploid cells
1. 2 & 3                                  2. 3 & 4
3. 1 & 3                                  4. 2 & 4

Nuclear envelope, nucleolus, endoplasmic reticulum and golgi complex disappear from a dividing cell at the

Amount of DNA and Number of chromosomes in G₂ phase of cell cycle would be

Exchange of genetic material between non-sister chromatids of homologous chromosomes in pachytene stage is facilitated by

Plant cells do not divided their cytoplasm by forming a furrow in cell membrane like animal cells rather they divide by cell plate because

What is the IUPAC name of the following compound?

1. 2-Formyl Methyl ethane
2. Methoxy propanal
3. 2-Methoxy propanal
4. 3-Methoxy propanal

Hybridisation of N in pyrrole is 
1. $sp$                                      2. $s{p}^2$
3. $s{p}^3$                                    4. $s{p}^{3}d$

The number of sigma and pi bonds in but-1-en-3-yne are 
1. $5\sigma and 3\pi$                          2. $7\sigma and 3\pi$
3. $8\sigma and 2\pi$                          4. $6\sigma and 4\pi$

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

How many chain isomers are possible for $C_5{H}_{12}$ and $C_6{H}_{14}$ respectively?
1. 3, 3                                   2. 3, 5
3. 4, 4                                   4. 3, 4

Total isomers for $C_4{H}_{10}O$ are 
1. 4                                      2. 5
3. 7                                      4. 8

 
Which compound has highest enolic content?
1.                                2. 
3.                                     4. 

Compounds with molecular formula $C_5{H}_{12}O$ cannot show 
1. Tautomerism
2. Position isomerism
3. Metamerism
4. Functional isomerism

Which hydrocarbon is most acidic?
1.                                 2. 
3.                               4. 

The most stable carbocation is 
1.                                      2. 
3.                     4. 

The aromatic compound is 
1.                               2. 
3.                           4. 

Which alkene is most stable?
1. $C{H}_2=CH-C{H}_2-C{H}_3$
2. ${\left(C{H}_3\right)}_{3}C-CH=C{H}_2$
3. $CH-CH=CH-C{H}_3$
4. ${\left(C{H}_3\right)}_{2}C=C{\left(C{H}_3\right)}_2$

In the above compound, the correct order of hydrogen as $H^{+}$ is
1. 1 > 2 > 3                                2. 2 > 3 > 1
3. 2 > 1 > 3                                4. 3 > 2 > 1

Consider the following resonating structures of HCOOH
I.                        II. 
III.                     IV. 
The order of stability is 
1. I > II > III > IV                               2. IV > I > II > III
3. I > III > II > IV                               4. II > I > III > IV

Which compound is most reactive towards electrophilic reaction?
1. Phenol                                  2. Aniline
3. Methoxy benzene                  4. Toluene 

$C_4{H}_6$ may have 
1. One triple bond                    2. Two double bonds
3. Two cycles                           4. All of these

Which of the following compounds will give negative Lassaigne's test for nitrogen?
1. 
2. 
3. 
4. 

Consider the following carbocations.
I.                                II. 
III.                          IV. 
The correct order of stability is 
1. II > III > I > IV
2. III > I > II > IV
3. III > I > IV > II
4. II > IV > I > III

The most stable free radical is 
1.                          2. 
3.                         4. 

in the above compound, at which bond proton $\left(H^{+}\right)$ attacks fastest?
1. A                                               2. B
3. C                                               4. D

The correct order of abstraction of hydrogen towards homolytic fission is 
1. 2 > 4 > 3 > 5 > 1
2. 4 > 2 > 5 > 3 > 1
3. 4 > 2 > 3 > 5 > 1
4. 4 > 3 > 2 > 5 > 1

Lassaigne's extract is boiled with dilute $HN{O}_3$ before testing for halogens because 
1. Silver halides are soluble in $HN{O}_3$
2. $N{a}_{2}S$ and NaCN are decomposed by $HN{O}_3$
3. $N{a}_{2}S$ and NaCN are oxidised by $HN{O}_3$
4. AgCN is soluble in $HN{O}_3$

Resonance in a molecule results in 
1. Destabilisation
2. Stabilisation
3. Change in bond length
4. Both (2) and (3)

The strongest acid is 
1.$HCOOH$
2. $C_6{H}_{5}COOH$
3. $C{H}_3-C{H}_2-COOH$
4. ${\left(C{H}_3\right)}_{2}CH-COOH$ 

Which of the following is the strongest base in water?
1.                               2. 
3.                              4. 

How many halogen derivatives are possible for $C_2{H}_6$?
1.  2                        2.  4
3.  6                        3.  9

The order of melting point for isomeric pentanes is
1.    n-pentane > Isopentane > Neopentane
2.    Neopentane > Isopentane > n-pentane
3.    Neopentane > n-pentane > Isopentane
4.    Isopentane > n-pentane > Neopentane

The compound 'A' is
1. 
2.
3. Both (1) and (2)
4. Neither (1) nor (2)

To which of the following compounds $H_2$ adds most readily?
1. $C{H}_2=C{H}_2$
2. $C{H}_3-CH=C{H}_2$
3. $C{H}_3-CH=CH-C{H}_3$
4. ${\left(C{H}_3\right)}_{2}C=CH-C{H}_3$

Which haloarene gives fastest electrophilic substitution reaction?
1.                                      2. 
3.                                      4.

the compound 'A' is
1.                         2. 
3.                                 4. 

the compond 'A' is
1.
2.
3.
4. No Reaction

 A (Major),
the compound 'A' is
1. $C{H}_2=CH-C{H}_2-C{H}_3$
2. $C{H}_3-CH=CH-C{H}_3$
3. 
4.  No Reaction
 

Which compound is most reactive towards electrophilic substitution reaction?
1.                          2. 
3.                  4. 

 has the configuration
1. R,R                          2.  S,S
3. R,S                          4.  May be (1) or (2)

Which compound cannot show conformational isomerism?
1.  $C{H}_3-C{H}_3$                        2.  $H_2{O}_2$
3.   $C{H}_3-Cl$                          4. $C{H}_3-OH$

Total number of optical isomers obtained after monohalogenation of 3-Methyl pentane are:
1.   2                                       2.   4
3.   6                                       4.   8

, the decreasing order of bond length will be
1. I>II>III                         2. II>III>I
3. III>II>I                         4. II>I>III

The IUPAC name of  is
1. Bicyclo [0,1,2] pentane
2. Bicyclo [2,1,0] hexane
3. Bicyclo [2,1,0] pentane
4. Bicyclo [2,2,1] pentane

The IUPAC name of  is
1. 3-Carboxy Pentan-1,5- dioic acid
2. Propane- 1,2,3- tricarboxylic acid
3. 1,2,3- tricarboxylic propane
4. All of these

Which conformational form of 2-Fluro ethanol is most stable?
1. Anti                                2. Partially eclipsed
3. Full esclipsed                  4. Gauche

Which alkene has smallest heat of hydrogenation?
1.                                 2. 
3.                              4. 

   (Nitro Compound)
The compound is 
1.                        2. 
3.                                          4.

0.5 gm nitrogenous compound is boiled with NaOH then $N{H}_3$ gas is evolved. The evolved $N{H}_3$ is passed into 100 ml N/2 $H_{2}S{O}_4$. the excess acid requires 40 ml 1N NaOH. The % of nitrogen in the compound is
1.  28                              2.   56
3.   14                             4.   72

The hybridised state of C in $\stackrel{\oplus }{C}{H}_5$ is
1.   sp                             2. $s{p}^2$
3.  $s{p}^3$                            4. $s{p}^{3}d$

Starting from rest a body slides down a 45$°$ inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is:
1. 0.75
2. 0.33
3. 0.25
4. 0.80

A wooden block of mass m resting on a rough horizontal table (coefficient of friction = $\mathrm{\mu }$) is pulled by a force F as shown in the figure.
 
The acceleration of the block moving horizontally is :
1. $\frac{\mathrm{Fcos\theta }}{\mathrm{m}}$
2. $\frac{\mathrm{\mu Fsin\theta }}{\mathrm{M}}$
3. $\frac{\mathrm{F}}{\mathrm{m}} (\cos \mathrm{\theta } + \mathrm{\mu } \sin \mathrm{\theta }) - \mathrm{\mu g}$
4. none

A block of mass M = 5 Kg is resting on a rough horizontal surface for which the coefficient of friction is 0.2. When a Force F = 40 N is applied as shown in the figure the acceleration of the block will be (g = 10 m/s²) :

1. 5.73 m/sec²
2. 8.0 m/sec²
3. 3.17 m/sec²
4. 10.0 m/sec²

If the normal force is doubled, the coefficient of friction is :
1. halved
2. doubled
3. tripled
4. not changed

A box 'A' is lying on the horizontal floor of the compartment of a train running along horizontal rails from left to right. At time 't' the train decelerates. Then the resultant contact force R by the floor on the box is given best by :
1. 
2. 
3. 
4. 

A cart of mass M has a block of mass m attached to it as shown in the figure. The coefficient of friction between the block and cart is $\mathrm{\mu }$. What is the minimum acceleration of the cart so that the block m does not fall?
                             
1. $\mathrm{\mu g}$
2. $\raisebox{1ex}{$\mathrm{\mu }$}\!\left/ \!\raisebox{-1ex}{$\mathrm{g}$}\right.$
3. $\raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{\mu }$}\right.$
4. none
 

A block of mass 5 Kg and surface area 2 m² just begins to slide down an inclined plane when the angle of inclination is $30°$. Keeping mass the same, the surface area of the block is doubled. The angle at which this starts sliding down is :
1. $30°$
2. $60°$
3. $15°$
4. none

A 60 kg body is pushed horizontally with just enough force to start it moving across a floor and the same force continues to act afterward. The coefficient of static friction and sliding friction are 0.5 and 0.4 respectively. The acceleration of the body is :
1. 6 m/s²
2. 4.9 m/s²
3. 3.92 m/s²
4. 1 m/s² 

A rigid body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is $\frac{{\mathrm{mv}}^2}{\mathrm{r}}$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle?
1. $\frac{{\mathrm{mv}}^2}{{\mathrm{\pi r}}^2}$
2. Zero
3. $\frac{{\mathrm{mv}}^2}{{\mathrm{r}}^2}$
4. $\frac{{\mathrm{\pi r}}^2}{{\mathrm{mv}}^2}$

If the unit of force and length each be increased by four times, then the unit of work is increased by
1. 16 times
2. 8 times
3. 2 times
4. 4 times 

A man pushes a wall and fails to displace it. He does: 

A rigid body moves a distance of \(10\) m along a straight line under the action of a force of \(5\) N. If the work done by this force on the body is \(25~\text{J}\), the angle which the force makes with the direction of motion of the body is:
1. \(0^{\circ}\)$$
2. \(30^{\circ}\)$$
3. \(60^{\circ}\)$$
4. \(90^{\circ}\)$$

A rigid body of mass m Kg is lifted uniformly by a man to a height of one metre in 30 sec. Another man lifts the same mass uniformly to the same height in 60 sec. The work done on the body against gravitation by them are in the ratio :
1. 1:2
2. 1:1
3. 2:1
4. 4:1

The work done in slowly pulling up a block of wood weighing 2 kN for a length of 10m on a smooth plane inclined at an angle of 15$°$ with the horizontal by a force parallel to the incline is 
1. 4.36 kJ
2. 5.17 kJ
3. 8.91 kJ
4. 9.82 kJ

A 50 kg man with 20 kg load on his head climbs up 20 steps of 0.25 m height each. The work done by the man on the block during climbing is :
1. 5 J
2. 350 J
3. 1000 J
4. 3540 J

A particle moves from position $\overrightarrow{r_1} = 3\hat{i} + 2\hat{j} - 6\hat{k}$   to position $\overrightarrow{r_2} = 14\hat{i} + 13\hat{j} - 9\hat{k}$ under the action of force $4\hat{i} + \hat{j} + 3\hat{k}$ N. The work done by this force will be 
1. 100 J
2. 46 J
3. 200 J
4. 75 J

A ball is released from the top of a tower. The ratio of work done by the force of gravity in the first, second and third second of the motion of the ball is 
1. 1:2:3
2. 1:4:9 
3. 1:3:5
4. 1:5:3

A block of mass m is suspended by a light thread from an elevator. The elevator is accelerating upward with uniform acceleration a. The work done by tension on the block during t seconds is (u = 0):
 
1. $\frac{\mathrm{m}}{2}(\mathrm{g} + \mathrm{a}) {\mathrm{at}}^2$
2. $\frac{\mathrm{m}}{2}(\mathrm{g} - \mathrm{a}){\mathrm{at}}^2$
3. $\frac{\mathrm{m}}{2}{\mathrm{gat}}^2$
4. 0

The kinetic energy of a body of mass \(2\) kg and momentum of \(2\) N-s is:
1. \(1\) J
2. \(2\) J
3. \(3\) J
4. \(4\) J

A particle of mass m at rest is acted upon by a force F for a time t. Its kinetic energy after an interval t is :
1. $\frac{{\mathrm{F}}^2{\mathrm{t}}^2}{\mathrm{m}}$ 
2. $\frac{{\mathrm{F}}^2{\mathrm{t}}^2}{2\mathrm{m}}$
3. $\frac{{\mathrm{F}}^2{\mathrm{t}}^2}{3\mathrm{m}}$
4. $\frac{\mathrm{Ft}}{2\mathrm{m}}$

The graph between the magnitude of resistive force \(F\) acting on a body and the position of the body traveling in a straight line is shown in the figure. The mass of the body is \(25~\text{kg}\) and the initial velocity is \(2~\text{m/s}\). When the distance covered by the body is \(4~\text{m}\), its Kinetic energy would be (not other force acts on it):
 
1. \(50~\text{J}\)
2. \(40~\text{J}\)
3. \(20~\text{J}\)
4. \(90~\text{J}\)

Find the moment of inertia of a plate cut in the shape of a right-angled triangle of mass M, side AC = BC = a about an axis perpendicular to the plane of the plate and passing through the midpoint of side AB

1. $\frac{{\mathrm{Ma}}^2}{12}$
2. $\frac{{\mathrm{Ma}}^2}{6}$
3. $\frac{{\mathrm{Ma}}^2}{3}$
4. $\frac{2{\mathrm{Ma}}^2}{3}$

Three identical thin rods each of mass m & length l are placed along x, y & z-axis respectively. They are placed such that, one end of each rod is at origin 'O'. The moment of inertia of this system about the z-axis is 
1. $\frac{\mathrm{m}{l}^{\mathit{2}}}{3}$
2. $\frac{2\mathrm{m}{l}^{\mathit{2}}}{3}$
3. $\mathrm{m}{l}^{\mathit{2}}$
4. $\frac{\mathrm{m}{l}^{\mathit{2}}}{4}$

Two rods of equal mass m and length l lie along the x-axis and y-axis with their centres at the origin. What is the moment of inertia of both about the line x=y :
1. $\frac{\mathrm{m}{l}^{\mathit{2}}}{3}$
2. $\frac{\mathrm{m}{l}^2}{4}$
3. $\frac{\mathrm{m}{l}^{\mathit{2}}}{12}$
4. $\frac{\mathrm{m}{l}^{\mathit{2}}}{6}$

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then the moment of inertia of PQR about an axis perpendicular to the plane of the plate:
         
1. about P = I/2
2. about R = I/2
3. about P > I/2
4. about R > I/2

In the triangular sheet given PQ = QR = l. If M is the mass of the sheet. What is the moment of inertial about PR :
   
1. $\frac{\mathrm{M}{l}^{\mathit{2}}}{24}$
2. $\frac{\mathrm{M}{l}^{\mathit{2}}}{12}$
3. $\frac{\mathrm{M}{l}^{\mathit{2}}}{6}$
4. $\frac{\mathrm{M}{l}^{{\mathit{2}}^{}}}{18}$

Moment of inertia of a thin semicircular disc (mass = M & radius = R) about an axis through point O and perpendicular to plane of the disc, is given by :
                     
1. $\frac{1}{4} {\mathrm{MR}}^2$
2. $\frac{1}{2} {\mathrm{MR}}^2$
3. $\frac{1}{8} {\mathrm{MR}}^2$
4. ${\mathrm{MR}}^2$

Moment of inertia of a semicircular ring of radius R and mass M; about an axis passing through A and perpendicular to the plane of the paper is 
                     
1. $\frac{2}{3} {\mathrm{MR}}^2$
2. ${\mathrm{MR}}^2$
3. $\frac{5}{\mathrm{\pi }} {\mathrm{MR}}^2$
4. $2{\mathrm{MR}}^2$

A uniform cylinder of mass m can rotate freely about its own axis which is horizontal. A particle of mass _{${\mathrm{m}}_{\mathrm{o}}$} hangs from the end of a light string wound round the cylinder which does not slip over it. When the system is allowed to move, the acceleration of the descending mass will be -
1. $\frac{2{\mathrm{m}}_{\mathrm{o}}\mathrm{g}}{\mathrm{m} + 2{\mathrm{m}}_{\mathrm{o}}}$
2. $\frac{{\mathrm{m}}_{\mathrm{o}}\mathrm{g}}{\mathrm{m} + {\mathrm{m}}_{\mathrm{o}}}$
3. $\frac{2{\mathrm{m}}_{\mathrm{o}}\mathrm{g}}{\mathrm{m} + {\mathrm{m}}_{\mathrm{o}}}$
4. $\frac{{\mathrm{m}}_{\mathrm{o}}\mathrm{g}}{2\mathrm{m} + {\mathrm{m}}_{\mathrm{o}}}$

A uniform rod of length l, hinged at the lower end is free to rotate in the vertical plane. If the rod is held vertically in the beginning and then released, the angular acceleration of the rod when it makes an angle of 45$°$ with the horizontal (I = ml²/3)
1. $\frac{3\mathrm{g}}{2\sqrt{2}l}$
2. $\frac{6\mathrm{g}}{\sqrt{2}l}$
3. $\frac{\sqrt{2}\mathrm{g}}{l}$
4. $\frac{2\mathrm{g}}{l}$

A block of mass m is attached to a pulley disc of equal mass m, radius r by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of 5 m/s. Its velocity when the string becomes taut will be-
     
1. 3 m/s
2. 2.5 m/s
3. 5/3 m/s
4. 10/3 m/s

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?
               
1. V/R
2. 2V/R
3. V/2R
4. 3V/R

A small object is attached to a light string that passes through a hollow tube. The tube is held by one hand and the string by the other. The object is set into rotation in a circle of radius r₁. The string is then pulled down, shortening the radius of the circle to r₂. The ratio of the new kinetic energy to original kinetic energy is :
1. $\frac{{\mathrm{r}}_1}{{\mathrm{r}}_2}$
2. 1
3. ${\left(\frac{{\mathrm{r}}_1}{{\mathrm{r}}_2}\right)}^2$
4.${\left(\frac{{\mathrm{r}}_2}{{\mathrm{r}}_1}\right)}^2$ 

A man, sitting firmly over a rotating stool has his arms stretched. If he folds his arms, the work done by the man is 
1. Zero
2. positive
3. negative
4. may be positive or negative. 

A particle of mass 2 kg located at the position $( \hat{\mathrm{i}} + \hat{\mathrm{j}} )$m has a velocity of 2$(\hat{\mathrm{i}} - \hat{\mathrm{j}} + \hat{\mathrm{k}})$ m/s. Its angular momentum about z-axis in kg-m²/s is :
1. Zero
2. +8
3. 12
4. -8

A ladder of length L is slipping with its ends against a vertical wall and a horizontal floor. At a certain moment, the speed of the end in contact with the horizontal floor is v and the ladder makes an angle $\mathrm{\theta }$ = 30$°$ with the horizontal. Then the speed of the ladder's center must be -
1. $\raisebox{1ex}{$2\mathrm{V}$}\!\left/ \!\raisebox{-1ex}{$\sqrt{2}$}\right.$
2. V/2
3. V
4. None

Two spheres are rolling with the same velocity (for their C.M.). Their ratio of kinetic energy is 2:1 & radius ratio is 2:1, their mass ratio will be :
1. 2 : 1
2. 4 : 1
3. 8 : 1
4. $2\sqrt{2 } :1$

A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed ${\mathrm{v}}_0$. The Kinetic energy of the system is: (Slipping in absent)
                                     
1. $6 {\mathrm{mv}}_0^2$
2. $12 {\mathrm{mv}}_0^2$
3. $4 {\mathrm{mv}}_0^2$
4. $8 {\mathrm{mv}}_0^2$

The linear speed of a uniform spherical shell after rolling down an inclined plane of vertical height \(h\) from rest is:
1. $\sqrt{\frac{10\mathrm{gh}}{7}}$
2. $\sqrt{\frac{4\mathrm{gh}}{5}}$
3. $\sqrt{\frac{6\mathrm{gh}}{5}}$
4. $\sqrt{2\mathrm{gh}}$

A ball is thrown upward and it returns to ground describing a parabolic path. Which of the following remains constant?
1. The kinetic energy of the ball
2. speed of the ball
3. horizontal component of velocity
4. none of the above

A gun of mass 1 kg fires a bullet of mass 1g with a velocity of 1ms^-1. The recoil velocity of the gun is 
1. 1 ms^-1
2. 0.1 ms^-1
3. 0.01 ms^-1
4. 0.001 ms^-1

A bullet of mass m moving with a velocity v is fired into a large wooden block of mass M. If the bullet remains embedded in the wooden block, the velocity of the system will be -
1. $\frac{\mathrm{M}}{\mathrm{M} + \mathrm{m}}v$
2. $\frac{\mathrm{m}}{\mathrm{M} + \mathrm{m}}v$
3. $\frac{\mathrm{M}}{\mathrm{M} - \mathrm{m}}v$
4. $\frac{\mathrm{m}}{\mathrm{M} - \mathrm{m}}v$

A bullet hits and gets embedded in a solid block lying on a frictionless surface. In this process 
1. Only momentum is conserved
2. Only Kinetic energy is conserved 
3. Both momentum and Kinetic energy are conserved 
4. Neither momentum nor Kinetic energy is conserved.

A spring is compressed between two toy cars of masses M₁ and M₂. When the cars are released, they move apart with velocities v₁ and v₂ respectively. Which of the following relation is correct?
1. M₁ v₁ = M₂v₂ 
2. M₁ v₂ = M₂v₁
3. $M_{\mathit{1}\mathit{ }}{v_{\mathit{1}}}^{\mathit{2}}\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}{v_{\mathit{2}}}^{\mathit{2}}$
4. $M_{\mathit{1}}\mathit{ }{v_{\mathit{2}}}^{\mathit{2}}\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}\mathit{ }{v_{\mathit{1}}}^{\mathit{2}}$

 A spring is compressed between two toy cars of masses ${\mathrm{M}}_1$ and ${\mathrm{M}}_2$. When the cars are released, they move apart with velocities ${\mathrm{v}}_1$ and ${\mathrm{v}}_2$ respectively let x₁ and x₂ be the displacements of the cars when in contact with the spring, then
1. $M_{\mathit{1}}{x}_{\mathit{1}}\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}{x}_{\mathit{2}}\mathit{ }$
2. $M_{\mathit{1}}{x}_2\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}{x}_{\mathit{2}}\mathit{ }$
3. $M_{\mathit{1}}{x_1}^{\mathit{2}}\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}{x}_{\mathit{2}}{\mathit{ }}^{\mathit{2}}$
4. $M_{\mathit{1}}{x_2}^{\mathit{2}}\mathit{ }\mathit{=}\mathit{ }{M}_{\mathit{2}}{x_1}^{\mathit{2}}\mathit{ }$

Besides helper T cells, what are two other types of cells that HIV infects?
1. macrophages and brain cells
2. B cells and liver cells
3. plasma cells and neutrophils
4. cytotoxic T cells and brain cells

When searching for a donor for an organ transplant, doctors try to match the __________ of the donor and recipient as closely as possible.

In a series of immune system experiments, the thymus glands were removed from baby mice. Which of the following would you predict as a likely result?

The antigen-binding sites of an antibody molecule are formed from the molecule's variable regions. Why are these regions described as variable?

Chemicals produced by virus-infected cells that alert neighboring cells to prepare a defense are called:

For the stability of the organic compounds, Oparin opined that, probably:

For the origin of life, which of the following is not a precondition needed to be fulfilled by the protobionts under consideration?

The first genetic code of life was based on:

Which of the following is not a precondition for Hardy-Weinberg Equilibrium?
1. The population should be large
2. The mating should be assortative
3. There is no gene flow into or out of the population
4. All offspring should be equally fertile.

What is genetic equilibrium?
1. When all the alleles of a gene are present in a population in equal frequencies
2. When the number of heterozygotes in a population is equal to the number of either of the homozygote.
3. When the number of heterozygotes in a population is equal to the number of either of the homozygote.
4. When the frequency of particular genes or alleles remains constant in a population through generations

Which of the following is the most important precondition for speciation to occur?

Some of the marsupials of Australia resemble equivalent placental mammals that live in similar habitats on other continents. This is an example of:

The only evolutionary agent that produces adaptive evolutionary changes is :

A population of an animal is hunted down to only 20 organisms. Later the number is restored to 10,000 organisms, but the variations in this population are highly reduced. This is called:
1. Founder Effect
2. Bottleneck effect
3. Edge effect
4. Heterosis

What is the half life of U²³⁸, the radioactive isotope of uranium?

The earliest known members of the horse family belong to the genus:
1. Hyracotherium                                                             
2. Equus
3. Mesohippus                                                                  
4. Merychippus

In a population of red (dominant) and white flowers, the frequency of red flowers is 91 %. What is the frequency of the red allele?

 ............... operates to eliminate intermediate phenotypes.

The best test of relatedness of two species is in the similarity of their :

The selecting agent in industrial melanism was :

Many bacteria are now resistant to penicillin, because:

The unit of evolution is now known to be the:

A change in allele frequency within a population, over a succession of generations, is called:

A plant population that reproduces by self - pollination is an extreme example of :

Natural selection is best defined as occurring when the environment causes :

People who carry an allele for normal hemoglobin and an allele for sickle cell are resistant to malaria. They are examples of:
1. heteozygote advantage
2. extreme diploidy
3. outbreeding
4. recessive superiority

A deleterious allele decreases more rapidly in frequency if it is:

Natural selection acts on an organism’s: