KVPY 2019 SB SX Exam Previous Papers

Question : 26 of 120

Marks: +1, -0

A point mass M moving with a certain velocity collides with a stationary point mass M/2. The collision is elastic and in one dimension. Let the ratio of the final velocities of M and M/2 be x. The value of x is

2
3
$1/2$
$1/4$

Validate

Solution:

Before collision

After collision

\By P_i = P_\f

⇒

mu, = mv_1 +M/2v_2

⇒

v_1 +v_2/2=u_1

......(1)
By

e = l' ={v_2-v_1}/u_1

⇒

v_2 -v_1 = u_1

......(2)
By (1) & (2)

v^2=4/3u_1\ &\ v_1=u_1/3

v_1/v_2=1/4

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