For a particle in uniform circular motion, the acceleration an at point P (R, θ) on the circle of radius R is (Here θ is measured from the x–axis)

A particle A of mass m and initial velocity v collides with a particle B of mass m/2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths λ_A to λ_B after the collision is

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms⁻¹.The magnitude of its momentum is recorded as

• 17.6 kg ms⁻¹ 

• 17.565 kg ms⁻¹

• 17.56 kg ms⁻¹

• 17.56 kg ms⁻¹

A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

• 0.16 J

• 1.00 J

• 0.67 J

• 0.67 J

A block of mass ‘m’ is connected to another block of mass ‘M’ by a spring (mass less) of spring constant ‘k’. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is stretched. Then a constant force ‘F’ starts acting on the block of mass ‘M’ to pull it. Find the force on the block of mass ‘m’.

• mF/M

• (M+m)F/m

• mF/(m+ M)

• mF/(m+ M)

A particle is projected at 60° to the horizontal with a kinetic energy K. The kinetic energy at the highest point is 

• K

• 0

• K/2

• K/2

A bomb of mass 16 kg at rest explodes into two pieces of masses of 4 kg and 12 kg. The velocity of the 12 kg mass is 4 ms⁻¹ . The kinetic energy of the other mass is

• 144 J

• 96 J

• 288 J

• 288 J

A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45° with the initial vertical direction is

A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1 s, the force of the blow exerted by the ball on the hand of the player is equal to

• 300 N

• 150 N

• 30

• 30

A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m which applying the force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/s²

• 22 N

• 4 N

• 20 N

• 20 N