MEDIUM
BITSAT
IMPORTANT
Earn 100

A particle X of mass m and initial velocity u collides with another particle Y of mass 3m4, which is at rest. The collision is head-on and perfectly elastic. The ratio of de-Broglie wavelengths λY and λX after the collision is,

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Important Questions on Center of Mass, Momentum and Collision

MEDIUM
BITSAT
IMPORTANT
The escape velocity from the surface of earth is ve. A body is projected with velocity 3ve. With what constant velocity will it move in the inter planetary space?
HARD
BITSAT
IMPORTANT
An object of mass 5 kg is projected with a velocity 20 m s-1 at an angle 60°, to the horizontal. At the highest point of its path, the projectile explodes and breaks up into two fragments of masses 1 kg and 4 kg. The fragments separate horizontally after the explosion, which releases internal energy such that the KE of the system af the highest point is doubled. The separation between the two fragments when they reach the ground is
MEDIUM
BITSAT
IMPORTANT
A trolley having mass of 200 kg moves with uniform speed of 36 kmh-1 on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away)  with a speed of 4 m s-1 relative to the trolley in a direction opposite to its motion and ultimately jumps out of the trolley. With how much velocity has the trolley moved from the time the child begins to run?