Question 1: Palette 1/61

NEET 2026 MCQ

The power of a crane, which lifts a mass of 1000 kg to a height of 20 m in 10 s is: $\left(g=9.8 \mathrm{~m} / \mathrm{s}^2\right)$

A

19.6 W

B

39.2 W

C

19.6 kW

D

39.2 kW

Question 2: Palette 2/61

NEET 2026 MCQ

A particle of mass $M$ moves along a horizontal $x$ axis from $x=0$ to $x=L$. The coefficient of kinetic friction varies as a function of $x$ as $\mu_k(x)=\mu_0-\alpha x$, where $\mu_0$, $\alpha$ are constants of appropriate dimensions, so that $\mu_k(L)=0$. The total work done by the frictional force during the motion is $n \mu_0 M g L$, where $g$ is the acceleration due to gravity. The value of $n$ is:

A

$\frac{1}{2}$

B

3

C

1

D

$\frac{1}{3}$

Question 3: Palette 3/61

NEET 2025 MCQ

The kinetic energies of two similar cars $A$ and $B$ are 100 J and 225 J respectively. On applying breaks, car $A$ stops after 1000 m and car $B$ stops after 1500 m . If $F_A$ and $F_B$ are the forces applied by the breaks on cars $A$ and $B$ respectively, then the ratio of $\frac{F_A}{F_B}$ is

A

$\frac{1}{3}$

B

$\frac{1}{2}$

C

$\frac{3}{2}$

D

$\frac{2}{3}$

Question 4: Palette 4/61

NEET 2025 MCQ

A bob of heavy mass $m$ is suspended by a light string of length $/$. The bob is given a horizontal velocity $v_0$ as shown in figure. If the string gets slack at some point $P$ making an angle $\theta$ from the horizontal, the ratio of the speed $v$ of the bob at point $P$ to its initial speed $v_0$ is:

A

$\left(\frac{\cos \theta}{2+3 \sin \theta}\right)^{\frac{1}{2}}$

B

$\left(\frac{\sin \theta}{2+3 \sin \theta}\right)^{\frac{1}{2}}$

C

$(\sin \theta)^{\frac{1}{2}}$

D

$\left(\frac{1}{2+3 \sin \theta}\right)^{\frac{1}{2}}$

Question 5: Palette 5/61

NEET 2024 MCQ

An object moving along horizontal $x$-direction with kinetic energy $10 \mathrm{~J}$ is displaced through $x=(3 \hat{i}) \mathrm{m}$ by the force $\vec{F}=(-2 \hat{i}+3 \hat{j}) \mathrm{N}$. The kinetic energy of the object at the end of the displacement $x$ is

A

$10 \mathrm{~J}$

B

$16 \mathrm{~J}$

C

$4 \mathrm{~J}$

D

$6 \mathrm{~J}$

Question 6: Palette 6/61

NEET 2024 MCQ

An object falls from a height of $10 \mathrm{~m}$ above the ground. After striking the ground it loses $50 \%$ of its kinetic energy. The height upto which the object can rebounce from the ground is:

A

$7.5 \mathrm{~m}$

B

$10 \mathrm{~m}$

C

$2.5 \mathrm{~m}$

D

$5 \mathrm{~m}$

Question 7: Palette 7/61

NEET 2024 MCQ

At any instant of time $t$, the displacement of any particle is given by $2 t-1$ ($\mathrm{SI}$ unit) under the influence of force of $5 \mathrm{~N}$. The value of instantaneous power is (in $\mathrm{SI}$ unit):

A

10

B

5

C

7

D

6

Question 8: Palette 8/61

NEET 2023 MCQ

A particle moves with a velocity $(5 \hat{i}-3 \hat{j}+6 \hat{k}) ~\mathrm{ms}^{-1}$ horizontally under the action of constant force $(10 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}+20 \hat{\mathrm{k}}) \mathrm{N}$. The instantaneous power supplied to the particle is :

A

$200 \mathrm{~W}$

B

Zero

C

$100 \mathrm{~W}$

D

$140 \mathrm{~W}$

Question 9: Palette 9/61

NEET 2023 MCQ

The potential energy of a long spring when stretched by $2 \mathrm{~cm}$ is U. If the spring is stretched by $8 \mathrm{~cm}$, potential energy stored in it will be :

A

4U

B

8U

C

16U

D

2U

Question 10: Palette 10/61

NEET 2022 MCQ

The restoring force of a spring with a block attached to the free end of the spring is represented by

A

B

C

D

Question 11: Palette 11/61

NEET 2022 MCQ

An electric lift with a maximum load of 2000 kg (lift + passengers) is moving up with a constant speed of 1.5 ms^$-$1. The frictional force opposing the motion is 3000 N. The minimum power delivered by the motor to the lift in watts is : (g = 10 ms^$-$2)

A

23000

B

20000

C

34500

D

23500

Question 12: Palette 12/61

NEET 2022 MCQ

The energy that will be ideally radiated by a 100 kW transmitter in 1 hour is

A

36 $\times$ 10⁷ J

B

36 $\times$ 10⁴ J

C

36 $\times$ 10⁵ J

D

1 $\times$ 10⁵ J

Question 13: Palette 13/61

NEET 2021 MCQ

A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively -

A

${S \over 4},\sqrt {{{3gS} \over 2}} $

B

${S \over 4},{{3gS} \over 2}$

C

${S \over 4},{{\sqrt {3gS} } \over 2}$

D

${S \over 2},{{\sqrt {3gS} } \over 2}$

Question 14: Palette 14/61

NEET 2021 MCQ

Water falls from a height of 60m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? (g = 10 m/s²)

A

7.0 kW

B

10.2 kW

C

8.1 kW

D

12.3 kW

Question 15: Palette 15/61

NEET 2019 MCQ

A force F = 20 + 10y acts on a particle in y-direction where F is in newton and y in meter. Work done by this force to move the particle from y = 0 to y = 1 m is :

A

5 J

B

25 J

C

20 J

D

30 J

Question 16: Palette 16/61

NEET 2018 MCQ

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to

A

D

B

${3 \over 2}D$

C

${7 \over 5}D$

D

${5 \over 4}D$

Question 17: Palette 17/61

NEET 2017 MCQ

Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 m s^$-$1. Take 'g' constant with a value 10 m s^$-$2. The work done by the (i) gravitational force and the (ii) resistive force of air is

A

(i) 1.25 j   (ii) $-$8.25 J

B

(i) 100 j   (ii) 8.75 J

C

(i) 10 j   (ii) $-$8.75 J

D

(i) $-$10 j   (ii) $-$8.25 J

Question 18: Palette 18/61

NEET 2016 MCQ

A particle moves from a point $\left( { - 2\widehat i + 5\widehat j} \right)$ to $\left( {4\widehat j + 3\widehat k} \right)$ when a force of $\left( {4\widehat i + 3\widehat j} \right)$ N is applied. How much work has been done by the force ?

A

8 J

B

11 J

C

5 J

D

2 J

Question 19: Palette 19/61

NEET 2016 MCQ

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

A

$\sqrt {3gR} $

B

$\sqrt {5gR} $

C

$\sqrt {gR} $

D

$\sqrt {2gR} $

Question 20: Palette 20/61

NEET 2016 MCQ

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic enegy of the particle becomes equal to 8 $ \times $ 10^$-$4 J by the end of the second revoluation after the beginning of the motion ?

A

0.18 m/s²

B

0.2 m/s²

C

0.1 m/s²

D

0.15 m/s²

Question 21: Palette 21/61

NEET 2016 MCQ

A body of mass 1 kg begins to move under the action of a time dependent force $\overrightarrow F = \left( {2t\widehat i + 3{t^2}\widehat J} \right)N,$ where ${\widehat i}$ and ${\widehat j}$ are unit vectors along x and y axis. What power will be developed by the force at the time t ?

A

(2t³ + 3t⁴) W

B

(2t³ + 3t⁵) W

C

(2t² + 3t³) W

D

(2t² + 4t⁴) W

Question 22: Palette 22/61

NEET 2015 MCQ

A ball is thrown vertically downwards from a height of 20 m with an initial velocity v₀. It collides with the ground, losses 50 percent of its energy in collision and rebounds to the same height. The initial velocity v₀ is
(Take g = 10 m s^$-$2)

A

28 m s^$-$1

B

10 m s^$-$1

C

14 m s^$-$1

D

20 m s^$-$1

Question 23: Palette 23/61

NEET 2015 MCQ

Two particles A and B, move with constant velocities $\overrightarrow {{v_1}} $ and $\overrightarrow {{v_2}} $. At the initial moment their position vectors are $\overrightarrow {{r_1}} $ and $\overrightarrow {{r_2}} $ respectively. The condition for particles A and B for their collision is

A

${\overrightarrow r _1} \times {\overrightarrow v _1} = {\overrightarrow r _2} \times {\overrightarrow v _2}$

B

${\overrightarrow r _1} - {\overrightarrow r _2} = {\overrightarrow v _1} - {\overrightarrow v _2}$

C

${{{{\overrightarrow r }_1} - {{\overrightarrow r }_2}} \over {\left| {{{\overrightarrow r }_1} - {{\overrightarrow r }_2}} \right|}} = {{{{\overrightarrow v }_2} - {{\overrightarrow v }_1}} \over {\left| {{{\overrightarrow v }_2} - {{\overrightarrow v }_1}} \right|}}$

D

${\overrightarrow r _1}.{\overrightarrow v _1} = {\overrightarrow r _2}.{\overrightarrow v _2}$

Question 24: Palette 24/61

NEET 2015 MCQ

On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle $\theta $ to its initial direction and has a speed ${v \over 3}.$ The second block's speed after the collision is

A

${3 \over {\sqrt 2 }}v$

B

${{\sqrt 3 } \over 2}v$

C

${{2\sqrt 2 } \over 3}v$

D

${3 \over 4}v$

Question 25: Palette 25/61

NEET 2015 MCQ

The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be 13.6 $ \times $ 10³ kg/m³ and g = 10 m/s² then the power (in watt) is

A

3.0

B

1.50

C

1.70

D

2.35

Question 26: Palette 26/61

NEET 2015 MCQ

A block of mass 10 kg, moving in x direction with a constant speed of 10 m s^$-$1, is subjected to a retarding force F = 0.1x J/m during its travel from x = 20 m to 30 m. Its final KE will be

A

275 J

B

250 J

C

475 J

D

450 J

Question 27: Palette 27/61

NEET 2015 MCQ

Two similar springs P and Q have spring constants K_P and K_Q, such that K_P > K_Q. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs W_P and W_Q are related as, in case (a) and case (b) respectively

A

W_P > W_Q;  W_Q > W_P

B

W_P < W_Q;  W_Q < W_P

C

W_P = W_Q;  W_P > W_Q

D

W_P = W_Q;  W_P = W_Q

Question 28: Palette 28/61

NEET 2015 MCQ

A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is

A

$\sqrt {2mk} {\,t^{ - 1/2}}$

B

${1 \over 2}\sqrt {mk} \,{t^{ - 1/2}}$

C

$\sqrt {{{mk} \over 2}} \,{t^{ - 1/2}}$

D

$\sqrt {mk} \,{t^{ - 1/2}}$

Question 29: Palette 29/61

NEET 2013 MCQ

A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

A

U(x) < E

B

U(x) = 0

C

U(x) $ \le $ E

D

U(x) > E

Question 30: Palette 30/61

NEET 2013 MCQ

One coolie takes 1 minute to raise a suitcase through a height of 2 m but the second coolie takes 30 s to raise the same suitcase to the same height. The powers of two coolies are in the ratio

A

1 : 3

B

2 : 1

C

3 : 1

D

1 : 2

Question 31: Palette 31/61

NEET 2013 MCQ

A uniform force of $\left( {3\widehat i + \widehat j} \right)$ newton acts on a particle of mass 2 kg. Hence the particle is displaced from position $\left( {2\widehat i + \widehat k} \right)$ metre to position $\left( {4\widehat i + 3\widehat j - \widehat k} \right)$ metre. The work done by the force on the particle is

A

13 J

B

15 J

C

9 J

D

6 J

Question 32: Palette 32/61

NEET 2012 MCQ

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀. The instantaneous velocity of this car is proportional to

A

t²P₀

B

t^1/2

C

t^$-$1/2

D

${t \over {\sqrt m }}$

Question 33: Palette 33/61

NEET 2012 MCQ

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s^$-$1. It collides with a horizontal spring of force constant 200 N m^$-$1. The maximum compression produced in the spring will be

A

0.5 m

B

0.6 m

C

0.7 m

D

0.2 m

Question 34: Palette 34/61

NEET 2012 MCQ

The potential energy of a particle in a force field is $U = {A \over {{r^2}}} - {B \over r}$ where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is

A

${B \over {2A}}$

B

${{2A} \over B}$

C

${A \over B}$

D

${B \over A}$

Question 35: Palette 35/61

NEET 2011 MCQ

A mass m moving horizontally (along the x-axis) with velocity $v$ collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2$v$. The final velocity of the combination is

A

${3 \over 2}v\widehat i + {1 \over 4}v\widehat j$

B

${1 \over 4}v\widehat i + {3 \over 2}v\widehat j$

C

${1 \over 3}v\widehat i + {2 \over 3}v\widehat j$

D

${2 \over 3}v\widehat i + {1 \over 3}v\widehat j$

Question 36: Palette 36/61

NEET 2011 MCQ

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time ?

A

B

C

D

Question 37: Palette 37/61

NEET 2011 MCQ

A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest

A

at the highest position of the body

B

at the instant just before the body hits the earth.

C

it remains constant all through.

D

at the instant just after the body is projected.

Question 38: Palette 38/61

NEET 2011 MCQ

Force F on a particle moving in a straight line varies with distance d as shown in figure.


The work done on the particle during its displacement of 12 m is

A

18 J

B

21 J

C

26 J

D

13 J

Question 39: Palette 39/61

NEET 2011 MCQ

The potential energy of a system increases if work is done

A

upon the system by a nonconservative force

B

by the system agains is a conservative force.

C

by the system against a nonconservative force.

D

upon the system by a conservative force.

Question 40: Palette 40/61

NEET 2010 MCQ

A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is

A

${{M{V^2}} \over T}$

B

${1 \over 2}{{M{V^2}} \over {{T^2}}}$

C

${{M{V^2}} \over {{T^2}}}$

D

${1 \over 2}{{M{V^2}} \over T}$

Question 41: Palette 41/61

NEET 2010 MCQ

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?

A

400 W

B

200 W

C

100 W

D

800 W

Question 42: Palette 42/61

NEET 2010 MCQ

A ball moving with velocity 2 m/s collides head on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m/s) after collision will be

A

0, 1

B

1, 1

C

1, 0.5

D

0, 2

Question 43: Palette 43/61

NEET 2009 MCQ

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be

A

2Mg/k

B

4Mg/k

C

Mg/2k

D

Mg/k

Question 44: Palette 44/61

NEET 2009 MCQ

A body of mass 1 kg is thrown upwards with a velocity 20 m/s. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? (g = 10 m/s²)

A

30 J

B

40 J

C

10 J

D

20 J

Question 45: Palette 45/61

NEET 2009 MCQ

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

A

mv³

B

${1 \over 2}m{v^2}$

C

${1 \over 2}{m^2}{v^2}$

D

${1 \over 2}m{v^3}$

Question 46: Palette 46/61

NEET 2008 MCQ

Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine ? (g = 10 m/s²)

A

12.3 kW

B

7.0 kW

C

8.1 kW

D

10.2 kW

Question 47: Palette 47/61

NEET 2007 MCQ

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the process is

A

mg(h + d) $-$ ${1 \over 2}$kd²

B

mg(h $-$ d) $-$ ${1 \over 2}$kd²

C

mg(h $-$ d) + ${1 \over 2}$kd²

D

mg(h + d) + ${1 \over 2}$kd²

Question 48: Palette 48/61

NEET 2006 MCQ

A body of mass 3 kg is under a constant force which causes a displacement s in metres in it, given by the relation s = ${1 \over 3}$t², where t is in seconds. Work done by the force in 2 seconds is

A

${{19} \over 5}J$

B

${5 \over {19}}J$

C

${3 \over {8}}J$

D

${8 \over {3}}J$

Question 49: Palette 49/61

NEET 2006 MCQ

The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm the potential energy stored in it is

A

U/4

B

4U

C

8U

D

16U

Question 50: Palette 50/61

NEET 2006 MCQ

300 J of work is done in sliding a 2 kg block up an inclined plane of height 10 m. Work done against friction is (Take g = 10 m/s²)

A

1000 J

B

200 J

C

100 J

D

zero

Question 51: Palette 51/61

NEET 2005 MCQ

A force F acting


on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is

A

18.0 J

B

13.5 J

C

9.0 J

D

4.5 J

Question 52: Palette 52/61

NEET 2004 MCQ

A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

A

0.15 m

B

0.12 m

C

1.5 m

D

0.5 m

Question 53: Palette 53/61

NEET 2004 MCQ

A particle of mass m₁ is moving with a velocity v₁ and another particle of mass m₂ is moving with a velocity v₂. Both of them have the same momentum but their different kinetic energies are E₁ and E₂ respectively. If m₁ > m₂ then :

A

E₁ < E₂

B

${{{E_1}} \over {{E_2}}} = {{{m_1}} \over {{m_2}}}$

C

E₁ > E₂

D

E₁ = E₂

Question 54: Palette 54/61

NEET 2004 MCQ

A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet ball building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of

A

$\sqrt 2 $ : 1

B

1 : 4

C

1 : 2

D

1 : $\sqrt 2 $

Question 55: Palette 55/61

NEET 2003 MCQ

A particle moves along a circle of radius $\left( {{{20} \over \pi }} \right)$ m with constants tangential acceleration. If the velocity of vthe particle is 80 m/s at the end of the second revoluation after motion has begun, the tangential acceleration is

A

40 m/s²

B

640$\pi $ m/s²

C

160$\pi $ m/s²

D

40$\pi $ m/s²

Question 56: Palette 56/61

NEET 2003 MCQ

When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be

A

U/5

B

5U

C

10U

D

25U

Question 57: Palette 57/61

NEET 2001 MCQ

A particle is projected making an angle of 45^o with horizontal having kinetic energy K. The kinetic energy at highest point will be

A

${K \over {\sqrt 2 }}$

B

${K \over 2}$

C

2K

D

K

Question 58: Palette 58/61

NEET 2001 MCQ

Two springs A and B having spring constant K_A and K_B (K_A = 2K_B) are stretched by applying force of equal magnitude. If energy stored in spring A is E_A then energy stored in B will be

A

2E_A

B

E_A/4

C

E_A/2

D

4E_A

Question 59: Palette 59/61

NEET 2001 MCQ

A child is sitting on a swing. Its minimum and maximum heights from the ground 0.75 m and 2 m respectively, its maximum speed will be

A

10 m/s

B

5 m/s

C

8 m/s

D

15 m/s

Question 60: Palette 60/61

NEET 2000 MCQ

If $\overrightarrow F = \left( {60\widehat i + 15\widehat j - 3\widehat k} \right)$ N and $\overrightarrow v = \left( {2\widehat i - 4\widehat j + 5\widehat k} \right)$ m/s, then instantaneous power is

A

195 watt

B

45 watt

C

75 watt

D

100 watt.

Question 61: Palette 61/61

NEET 2000 MCQ

A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity 25 m/s. The velocity of other part is (Take g = 10 ms^$-$2)

A

40 m/s

B

50 m/s

C

100 m/s

D

60 m/s