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A nucleus desintegrated into two nucleus...

A nucleus desintegrated into two nucleus which have their velocities in the ratio of `2 : 1 ` . The ratio of their nuiclear sizes will be

A

`3^(1/2) : 1`

B

`1 : 2^(1//3)`

C

`2^(1//3): 1`

D

`1 : 3^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
From conservation of momentum` m_(1)nu_(1) = m_(2)nu_(2)`
`rArr ((m_(1))/(m_(2))) = ((nu_(1))/(nu_(2))) given (nu_(1))/(nu_(2)) = 2`
`rArr (m_(1))/(m_(2)) = (1)/(2)rArr (r_(1)^(3))/(r_(2)^(3)) = (1)/(2) rArr ((r_(1))/(nu_(2))) = ((1)/(2)) ^(1//3)`
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