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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

A ball of mass m _ 1 is moving with velocity 3 v . It collides head...

A ball of mass

{m}_{1}

is moving with velocity 3

v

. It collides head on elastically with a stationary ball of mass

{m}_{2}

. The velocity of both the balls become

v

after collision. Then the value of the ratio

\dfrac{{m}_{2}}{{m}_{1}}

is

Options

A $1$
B $2$
C $3$
D $4$

Correct answer

B. $2$

Step-by-step solution

3{m}_{1}v = {m}_{1}v + {m}_{2}v

3{m}_{1}v - {m}_{1}v = {m}_{2}v

2{m}_{1}v = {m}_{2}v

∴ \dfrac{{m}_{2}}{{m}_{1}} = 2

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