JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between any two adjacent blocks is L. The block at one end is given a speed v towards the next one at time t = 0. All collisions are completely inelastic, then [IIT JEE 1995]

Answer: (B),(D)

Solution

Since the collision is perfectly inelastic, blocks progressively stick together, slowing the combined mass at each step. The first block covers gap L alone in time L/v, giving a combined 2-block mass speed v/2 (momentum conservation), which then takes 2L/v to cover the next gap, and so on — giving total time

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Question ID VK-154156