Question 1: Palette 1/54

NEET 2026 MCQ

A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is 0.12 . Keeping the box in stationary state over the trolley, the maximum acceleration with which the trolley can be moved horizontally in $\mathrm{m} \mathrm{s}^{-2}$ is:

$ \left(g=10 \mathrm{~m} / \mathrm{s}^2\right) $

A

2.1

B

1.8

C

1.5

D

1.2

Question 2: Palette 2/54

NEET 2026 MCQ

The magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it, are respectively:

A

$20 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(4 / 3)$ with 8 N force

B

$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(3 / 4)$ with 6 N force

C

$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(4 / 3)$ with 8 N force

D

$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(3 / 4)$ with 8 N force

Question 3: Palette 3/54

NEET 2026 MCQ

A car travels on a circular racetrack of radius 50 m , which is banked at an angle $\theta$. If the car travels at a speed $10 \mathrm{~ms}^{-1}$, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be $10 \mathrm{~ms}^{-2}$, the value of $\theta$ is:

A

$\tan ^{-1}(2 \sqrt{3})$

B

$\tan ^{-1}\left(\frac{1}{5}\right)$

C

$\tan ^{-1}\left(\frac{2}{5}\right)$

D

$\tan ^{-1}(\sqrt{3} / 2)$

Question 4: Palette 4/54

NEET 2025 MCQ

There are two inclined surfaces of equal length $(L)$ and same angle of inclination $45^{\circ}$ with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on rough surface than on the smooth surface. The coefficient of kinetic friction $\left(\mu_k\right)$ between the object and the rough surface is close to

A

0.5

B

0.75

C

0.25

D

0.40

Question 5: Palette 5/54

NEET 2024 MCQ

A box of mass $5 \mathrm{~kg}$ is pulled by a cord, up along a frictionless plane inclined at $30^{\circ}$ with the horizontal. The tension in the cord is $30 \mathrm{~N}$. The acceleration of the box is (Take $g=10 \mathrm{~m} \mathrm{~s}^{-2}$)

A

$2 \mathrm{~m} \mathrm{~s}^{-2}$

B

Zero

C

$0.1 \mathrm{~m} \mathrm{~s}^{-2}$

D

$1 \mathrm{~m} \mathrm{~s}^{-2}$

Question 6: Palette 6/54

NEET 2024 MCQ

A horizontal force $10 \mathrm{~N}$ is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are $2 \mathrm{~kg}$ and 3 $\mathrm{kg}$ respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is :

A

Zero

B

4 N

C

6 N

D

10 N

Question 7: Palette 7/54

NEET 2024 MCQ

A particle moving with uniform speed in a circular path maintains:

A

Constant velocity

B

Constant acceleration

C

Constant velocity but varying acceleration

D

Varying velocity and varying acceleration

Question 8: Palette 8/54

NEET 2023 MCQ

A block of mass 2 kg is placed on inclined rough surface AC (as shown in figure) of coefficient of friction $\mu$. If g = 10 m s$^{-2}$, the net force (in N) on the block will be:

A

10$\sqrt3$

B

zero

C

10

D

20

Question 9: Palette 9/54

NEET 2023 MCQ

A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :

A

along northward

B

along north-east

C

along south-west

D

along eastward

Question 10: Palette 10/54

NEET 2023 MCQ

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0.15

$\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$.

A

$150 \mathrm{~m} \mathrm{~s}^{-2}$

B

$1.5 \mathrm{~m} \mathrm{~s}^{-2}$

C

$50 \mathrm{~m} \mathrm{~s}^{-2}$

D

$1.2 \mathrm{~m} \mathrm{~s}^{-2}$

Question 11: Palette 11/54

NEET 2023 MCQ

A bullet from a gun is fired on a rectangular wooden block with velocity $u$. When bullet travels $24 \mathrm{~cm}$ through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is :

A

$24 \mathrm{~cm}$

B

$28 \mathrm{~cm}$

C

$30 \mathrm{~cm}$

D

$27 \mathrm{~cm}$

Question 12: Palette 12/54

NEET 2022 MCQ

If $\overrightarrow F = 2\widehat i + \widehat j - \widehat k$ and $\overrightarrow r = 3\widehat i + 2\widehat j - 2\widehat k$, then the scalar and vector products of $\overrightarrow F $ and $\overrightarrow r $ have the magnitudes respectively as

A

10, 2

B

5, $\sqrt 3 $

C

4, $\sqrt 5 $

D

10, $\sqrt 2 $

Question 13: Palette 13/54

NEET 2022 MCQ

In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth) :

(Given g = 10 ms^$-$2)

A

10 N

B

25 N

C

39 N

D

6 N

Question 14: Palette 14/54

NEET 2020 MCQ

Two bodies of mass 4 kg and 6 kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is :

A

g/2

B

g/5

C

g/10

D

g

Question 15: Palette 15/54

NEET 2019 MCQ

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when :

A

the wire is horizontal

B

inclined at an angle of 60^o from vertical

C

the mass is at the lowest point

D

the mass is at the highest point

Question 16: Palette 16/54

NEET 2019 MCQ

A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be : (g = 10 m/s²)

A

${{10} \over {2\pi }}$ rad/s

B

10 rad/s

C

10 $\pi $ rad/s

D

$\sqrt {10} $ rad/s

Question 17: Palette 17/54

NEET 2018 MCQ

Which one of the following statements is incorrect?

A

Rolling friction is smaller than sliding friction.

B

Limiting value of static friction is directly proportional to normal reaction.

C

Frictional force opposes the relative motion.

D

Coefficient of sliding friction has dimensions of length.

Question 18: Palette 18/54

NEET 2018 MCQ

A block of mass m is placed on a smooth inclined wedge ABC of inclination q as shown in the figure. The wedge is given an acceleration ‘a’ towards the right. The relation between a and q for the block to remain stationary on the wedge is

A

$a = {g \over {\cos ec\theta }}$

B

$a = {g \over {\cos ec\theta }}$

C

$a = g\cos \theta $

D

$a = g\tan \theta $

Question 19: Palette 19/54

NEET 2017 MCQ

One end of string of length $l$ is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed '$\upsilon $', the net force on the particle (directed towards centre) will be (T represents the tension in the string)

A

$T + {{m{v^2}} \over l}$

B

$T - {{m{v^2}} \over l}$

C

zero

D

$T$

Question 20: Palette 20/54

NEET 2017 MCQ

Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively

A

${g \over 3},g$

B

$g, g$

C

${g \over 3},{g \over 3}$

D

$g,{g \over 3}$

Question 21: Palette 21/54

NEET 2016 MCQ

A car is negotiating a curved road of radius R. The road is banked at an angle $\theta $. The coefficient of friction between the tyres of the car and the road is $\mu $_s. The maximum safe velocity on this road is

A

$\sqrt {{g \over R}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $

B

$\sqrt {{g \over {{R^2}}}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $

C

$\sqrt {g{R^2}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $

D

$\sqrt {gR{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $

Question 22: Palette 22/54

NEET 2015 MCQ

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

A

4

B

1

C

2

D

3

Question 23: Palette 23/54

NEET 2015 MCQ

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30^o, the box starts to slip and slides 4.0 m down the plank in 4.0 s.



The coefficients of static and kinetic friction between the box and the plank will be, respectively

A

0.5 and 0.6

B

0.4 and 0.3

C

0.6 and 0.6

D

0.6 and 0.5

Question 24: Palette 24/54

NEET 2015 MCQ

Three blocks A, B and C, of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block, then the contact force between A and B is

A

8 N

B

18 N

C

2 N

D

6 N

Question 25: Palette 25/54

NEET 2015 MCQ

A block A of mass m₁ rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block B of mass m₂ is suspended. The coefficient of kinetic friction between the block and the table is $\mu $_k. When the block A is sliding on the table, the tension in the string is

A

${{{m_1}{m_2}(1 + {\mu _k})g} \over {({m_1} + {m_2})}}$

B

${{{m_1}{m_2}(1 - {\mu _k})g} \over {({m_1} + {m_2})}}$

C

${{\left( {{m_2} + {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$

D

${{\left( {{m_2} - {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$

Question 26: Palette 26/54

NEET 2014 MCQ

A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction = $\mu $). The pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is (Assume m₁ = m₂ = m₃ = m)

A

${{g\left( {1 - g\mu } \right)} \over 9}$

B

${{2g\mu } \over 3}$

C

${{g\left( {1 - 2\mu } \right)} \over 3}$

D

${{g\left( {1 - 2\mu } \right)} \over 2}$

Question 27: Palette 27/54

NEET 2014 MCQ

A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a ?

A

${{2ma} \over {g + a}}$

B

${{2ma} \over {g - a}}$

C

${{ma} \over {g + a}}$

D

${{ma} \over {g - a}}$

Question 28: Palette 28/54

NEET 2013 MCQ

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is

A

${\pi \over 3}$

B

${\pi \over 6}$

C

${\pi \over 4}$

D

0^o

Question 29: Palette 29/54

NEET 2013 MCQ

Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upwards at constant speed v. What is the net force on the block of mass 2m ? (g is the acceleration due to gravity)

A

3mg

B

6mg

C

zero

D

2mg

Question 30: Palette 30/54

NEET 2013 MCQ

The upper half of an inclined plane of inclination $\theta $ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

A

$\mu $ = 2 tan$\theta $

B

$\mu $ = tan$\theta $

C

$\mu $ = ${1 \over {\tan \theta }}$

D

$\mu = {2 \over {\tan \theta }}$

Question 31: Palette 31/54

NEET 2012 MCQ

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

A

68%

B

41%

C

200%

D

100%

Question 32: Palette 32/54

NEET 2011 MCQ

A conveyor belt is moving at a constant speed of 2 ms^$-$1. A box is gently dropped on it. The coefficient of friction between them is $\mu $ = 0.5. The distance that the box will move relativce to belt before coming to rest on it, taking g = 10 m s^$-$2,, is

A

0.4 m

B

1.2 m

C

0.6 m

D

zero

Question 33: Palette 33/54

NEET 2011 MCQ

A body of mass M hits normally a rigid wall with velocity V and bounces back with the same velocity. The impulse experienced by the body is

A

MV

B

1.5 MV

C

2MV

D

zero

Question 34: Palette 34/54

NEET 2011 MCQ

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s². If g = 10 ms^$-$2, the tension in the supporting cable is

A

8600 N

B

9680 N

C

11000 N

D

1200 N

Question 35: Palette 35/54

NEET 2010 MCQ

A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is $\mu $. The acceleration $\alpha $ of the cart that will prevent the block from falling satisfies

A

$\alpha > {{mg} \over \mu }$

B

$\alpha > {g \over {\mu m}}$

C

$\alpha \ge {g \over \mu }$

D

$\alpha < {g \over \mu }$

Question 36: Palette 36/54

NEET 2009 MCQ

The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is :

A

4 m s^$-$2 upwards

B

4 m s^$-$2 downwards

C

14 m s^$-$2 upwards

D

30 m s^$-$2 downwards

Question 37: Palette 37/54

NEET 2009 MCQ

A body, under the action of a force $\overrightarrow F = 6\widehat i - 8\widehat j + 10\widehat k,$ acquires an accelerations of 1 m/s². The mass of this body must be

A

10 kg

B

20 kg

C

10$\sqrt 2 $ kg

D

2$\sqrt {10} $ kg

Question 38: Palette 38/54

NEET 2008 MCQ

Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

A

${{\sqrt 3 } \over 4}N$

B

${\sqrt 3 }$ N

C

0.5 N

D

1.5 N

Question 39: Palette 39/54

NEET 2008 MCQ

A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between

A

16 m/s and 17 m/s

B

13 m/s and 14 m/s

C

14 m/s and 15 m/s

D

15 m/s and 16 m/s

Question 40: Palette 40/54

NEET 2008 MCQ

Sand is being dropped on a conveyer belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of $\upsilon $ m/s will be :

A

${{Mv} \over 2}$ newton

B

zero

C

M$v$ newton

D

2 M$v$ newton

Question 41: Palette 41/54

NEET 2007 MCQ

A block B is pushed momentarily along a horizontaly surface with an initial velocity V. If  $\mu $  is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

A

g$\mu $/V

B

g/V

C

V/g

D

V/(g$\mu $).

Question 42: Palette 42/54

NEET 2004 MCQ

A block of mass m is placed on a smooth wedge of inclination $\theta $. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block will be (g is acceleration due to gravity)

A

mg cos$\theta $

B

mg sin$\theta $

C

mg

D

mg/cos $\theta $

Question 43: Palette 43/54

NEET 2004 MCQ

The coefficient of static friction, $\mu $_s, between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (g = 10 m/s²)

A

2.0 kg

B

4.0 kg

C

0.2 kg

D

0.4 kg

Question 44: Palette 44/54

NEET 2003 MCQ

A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope ? (g = 10 m/s²)

A

5 m/s²

B

10 m/s²

C

25 m/s²

D

2.5 m/s²

Question 45: Palette 45/54

NEET 2003 MCQ

A man weight 80 kg. He stands on a weighting scale in a lift which is moving upwards with a uniform acceleration of 5 m/s². What would be the reading on the scale ? (g = 10 m/s²)

A

zero

B

400 N

C

800 N

D

1200 N

Question 46: Palette 46/54

NEET 2002 MCQ

A block of mass 10 kg placed on rough horizontal surface having coefficient of friction m = 0.5, if a horizontal force of 100 N acting on it then acceleration of the block will be

A

10 m/s²

B

5 m/s²

C

15 m/s²

D

0.5 m/s².

Question 47: Palette 47/54

NEET 2002 MCQ

An object of mass 3 kg is at rest. Now a force of $\overrightarrow F $ = 6t² $\widehat i$ + 4t $\widehat j$ is applied on the object then velocity of object at t = 3 sec. is

A

18$\widehat i$ + 3$\widehat j$

B

18$\widehat i$ + 6$\widehat j$

C

3$\widehat i$ + 18$\widehat j$

D

18$\widehat i$ + 4$\widehat j$

Question 48: Palette 48/54

NEET 2002 MCQ

A lift of mass 1000 kg which is moving with acceleration of 1 m/s² in upward direction, then the tension developed in string which is connected to lift is

A

9800 N

B

10,800 N

C

11,000 N

D

10,000 N.

Question 49: Palette 49/54

NEET 2001 MCQ

On the horizontal surface of a truck a block of mass 1 kg is placed (m = 0.6) and truck is moving with acceleration 5 m/sec² then the frictional force on the block will be

A

5 N

B

6 N

C

5.88 N

D

8 N

Question 50: Palette 50/54

NEET 2001 MCQ

A cricketer catches a ball of mass 150 gm in 0.1 sec moving with speed 20 m/s, then he experiences force of

A

300 N

B

30 N

C

3 N

D

0.3 N.

Question 51: Palette 51/54

NEET 2001 MCQ

A 1 kg stationary bomb is exploted in three parts having mass 1 : 1 : 3 respectively. Parts having same mass move in perpendicular direction with velocity 30 m/s, then the velocity of bigger part will be

A

$10\sqrt 2 $ m/sec

B

${{10} \over {\sqrt 2 }}$ m/sec

C

$15\sqrt 2 $ m/sec

D

${{15} \over {\sqrt 2 }}$ m/sec

Question 52: Palette 52/54

NEET 2001 MCQ

250 N force is required to raise 75 kg mass from a pulley. If rope is pulled 12 m then the load is lifted to 3 m. the efficiency of pulley system will be

A

25%

B

33.3%

C

75%

D

90%

Question 53: Palette 53/54

NEET 2000 MCQ

Two masses as shown in the figure are suspended from a massless pulley. The acceleration of the system when masses are left free is

A

${{2g} \over 3}$

B

${g \over 3}$

C

${g \over 9}$

D

${g \over 7}$.

Question 54: Palette 54/54

NEET 2000 MCQ

A body of mass 3 kg hits a wall at an angle of 60^o and returns at the same angle. The impact time was 0.2 sec. The force exerted on the wall

A

150${\sqrt 3 }$ N

B

50${\sqrt 3 }$ N

C

100 N

D

75${\sqrt 3 }$ N.