KEAM 2024 Question Paper PDF with Solutions and Answer Key PDF

June 5, 2024

If a freely falling body covers 80 m in the first 4 seconds, then in the next 4 seconds it covers a distance of 

A ) 160 m 

B ) 240 m 

C ) 320 m 

D ) 80 m 

E ) 100 m 

Option B

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Find the TRUE statement of the algebraic operations of scalar and vector quantities 

A ) Adding two scalars of different dimensions is possible 

B ) Adding a scalar to a vector ofthe  same dimension is possible 

C ) Multiplying any two scalars is possible 

D ) Multiplying any vector by any scalar is not possible 

E ) Adding any two vectors is not possible

Option C

A car moving with a speed, v is stopped at a distance d by a retarding force F. The force needed to stop the same car moving with the speed 3v within the same distance is 

A ) 3F 

B ) 6F 

C ) 8F 

D ) 9F 

E ) 12F

Option D

The collision in which the two colliding particles move together after collision is called 

A ) completely inelastic collision 

B ) elastic collision 

C ) partial inelastic collision 

D ) collision without transfer of energy 

E ) partial elastic collision

Option A

The analogy between linear motion and rotational motion are given. The FALSE one is 

A ) Force: Torque 

B ) Linear Displacement : Angular displacement C ) Mass : Moment of inertia 

D ) Linear momentum: Angular momentum 

E ) Translational energy: Vibrational energy 

Option E

June 6, 2024

Which one is an INCORRECT statement? 

A ) Forces always occur in pairs 

B ) Impulsive force is a force that acts for a shorter duration 

C ) Impulse is the change in momentum of the body 

D ) Momentum and change in momentum both have the same direction 

E ) Action and reaction forces act on different bodies 

Option D

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Impending motion is opposed by 

A ) static friction 

B ) fluid friction 

C ) sliding friction 

D ) kinetic friction 

E ) rolling friction 

Option A

A block of 50 g mass is connected to a spring of spring constant 500 Nm-1. It is extended to the maximum and released. If the maximum speed of the block is 3 ms-1, then the length of the extension is 

A ) 4 cm 

B ) 1 cm 

C ) 2.5 cm 

D ) 3 cm 

E ) 5 cm 

Option D

The motion of a cylinder on an inclined plane is a

A ) rotational but not translation 

B ) translation but not rotational 

C ) translational but not rolling 

D ) rotational, translational and rolling motion 

E ) rotational and rolling but not translational motion 

Option D

A flywheel ensures a smooth ride on the vehicle because of its 

A ) larger speed 

B ) zero moment of inertia 

C ) large moment of inertia 

D ) lesser mass with a smaller radius 

E ) small moment of inertia 

Option C

June 7, 2024

A person standing in an elevator experiences weight loss when the elevator 

A ) moves down with uniform velocity 

B ) moves upward with constant acceleration 

C ) moves downward with constant acceleration D ) moves upward with uniform velocity 

E ) moves down with variable acceleration

Option C

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The ratio of the maximum kinetic energy to the maximum potential energy of a bob of a simple pendulum executing small oscillations is 

A ) 1: 1 

B ) 1: 2 

C ) 2: 1 

D ) 1: 4 

E ) 4: 1

Option A

A constant force of 6 N acting on a stationary body displaces it by 3 m in 2 s. The average power delivered is 

A ) 18 W 

B ) 15 W 

C ) 12 W 

D ) 9 W 

E ) 6 W 

Option D

A block of mass 3 kg executes simple harmonic motion under the restoring force of a spring. The amplitude and the time period of the motion are 0.1 m and 3.14 s respectively. The maximum force exerted by the spring on the block is 

A ) 1.2 N 

B ) 3 N 

C ) 12 N 

D ) 30 N 

E ) 90 N 

Option A

The principle involved in the performance of a circus acrobat is the conservation of 

A ) translational energy 

B ) linear momentum 

C ) angular momentum 

D ) mass 

E ) rotational energy 

Option C

June 8, 2024

If the slope of the velocity-time graph of a moving particle is zero, then its acceleration is 

A ) constant but not zero 

B ) zero 

C ) constant and is in the direction of velocity 

D ) not a constant. 

E ) constant and is opposite to the direction of velocity

Option B

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A boy sitting in a bus moving at a constant velocity throws a ball vertically up into air. The ball will fall 

A ) in the bus in front of the boy 

B ) in the bus on the side of the boy 

C ) outside the bus 

D ) in the hands of the boy 

E ) in the bus behind the boy 

Option D

A fluid has stream line flow through a horizontal pipe of variable cross-sectional area. Then 

A ) its velocity is minimum at the narrowest part of the tube and the pressure is minimum at the widest point 

B ) its velocity and pressure both are maximum at the widest point

 C ) its velocity and pressure both are minimum at the narrowest point 

D ) its velocity is maximum at the narrowest point and the pressure is maximum at the widest part E ) its velocity is maximum and pressure is minimum at the narrowest point 

Option E

A thin spherical shell of radius 12 cm is charged such that the potential on its surface is 60 V. Then the potential at the centre of the sphere is A ) 5 V 

B ) Zero 

C ) 30 V 

D ) 120 V 

E ) 60 V Correct 

Option E

If the voltage across a bulb rated 220V – 60 W drops by 1.5% of its rated value, the percentage drop in the rated value of the power is 

A ) 0.75% 

B ) 1.5% 

C ) 4.5% 

D ) 3% 

E ) 2.5% 

Option D

June 9, 2025

If the displacement of a body moving on a horizontal surface is 151.25 cm in a time interval of 2.25 s, then the velocity of the body in the correct number of significant figures in cm s-1 is A ) 6722 

B ) 67.22 

C ) 67.222 

D ) 0.672 

E ) 67.2 

Option E

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The displacement (x) – time (t) graph for the motion of a body is a straight line making an angle 45° with the time axis. Then the body is moving with 

A ) uniform velocity 

B ) uniform acceleration 

C ) non-uniform acceleration 

D ) decreasing velocity 

E ) increasing velocity 

Option A

A ball is thrown up vertically at a speed of 6.0 m s-1. The maximum height reached by the ball (Take g = 10 m s-2. ) is ; 

A ) 80 m 

B ) 100 m 

C ) 18 m 

D ) 1.8 m 

E ) 1 m 

Option D

The INCORRECT statement is 

A ) Forces in nature always occur between pair of bodies 

B ) Action and reaction forces are simultaneous forces 

C ) The coefficient of static friction is greater than the coefficient of kinetic friction 

D ) Force is always in the direction of motion 

E ) Centripetal force acts towards the centre of a circle 

Option D

A bullet of 10 g, moving at 250 ms-1 penetrates 5 cm into a tree limb before coming to rest. Assuming uniform force being exerted by the tree limb, the magnitude of the force is: 

A ) 12.5 N 

B ) 625 N 

C ) 62.5 N 

D ) 125 N 

E ) 6250 N

Option E

June 10, 2025

A man loses 50% of his velocity after running a distance of 100 m. If his retardation is uniform, the distance he will cover before coming to rest is A ) 45.2 m 

B ) 33.3 m 

C ) 27.5 m 

D ) 15.7 m 

E ) 50.5 m 

Option B

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A particle is describing a uniform circular motion with a certain constant speed. The INCORRECT statement is 

A ) The velocity and acceleration vectors are perpendicular to each other 

B ) The velocity vector is tangential to the circular path 

C ) The centripetal acceleration is a variable acceleration 

D ) The acceleration vector points to the centre of the circle 

E ) The acceleration vector is tangential to the circular path 

Option E

In a ‘tug of war’ game, two persons pull each other through a massless rope. The person who wins is 

A ) One whose weight is less 

B ) One who exerts more friction force (shearing force) on the ground 

C ) One who exerts more normal force (compressing force) on the ground 

D ) One who pulls the rope with a greater force 

E ) One whose weight is more 

Option B

Which of the following has the maximum Young’s modulus value? 

A ) Aluminium 

B ) Copper 

C ) Brass 

D ) Steel 

E ) Iron (Wrought)

Option D

Two perfectly black bodies are at temperatures T and 2T. The ratio between the wavelengths corresponding to the maximum energy emission by the two black bodies is 

A ) 2: 1 

B ) 1: 2 

C ) 2 : 3 

D ) 3: 2 

E ) 1: 4 

Option A