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Two bodies of masses m and 4 m are movin...

Two bodies of masses m and 4 m are moving with equal K.E. The ratio of their linear momentums is

A

`1:1`

B

`1:4`

C

`4:1`

D

`1:2`

Text Solution

Verified by Experts

The correct Answer is:
D
Momentum before explosion `=12 xx 0=0 ..........(1)`
Momentum after explosion `=4 xx v +8 xx 6 ........(ii)`
According to the principle of conservation of linear momentum. `4v+48=0 therefore 4v=-48 therefore v=-12m//s`
K.E. of 4kg mass `=1/2 mv^(2)=1/2 xx 4 xx (-12)^(2)=288J`
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