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An oscillator of mass M is at rest in it...

An oscillator of mass M is at rest in its equilibrium position in a potential `V=(1)/(2)k(x-X)^(2)`. A particle of massm comes from right with speed u and collides completely inelastically with M and sticks to it. The process repeats every time the oscillator crosses its equilibrium position. The amplitude of oscilllations after 13 collisions is : (M=10, m=5, u=1 ,k=1)

A

`sqrt((3)/(5))`

B

`(2)/(3)`

C

`(1)/(sqrt3)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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