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A nuclear of mass M +deltam is at rest a...

A nuclear of mass `M +deltam `is at rest and decay into two daughter nuclei of equal mass `(M)/(2)` each speed is `c`
The speed of daughter nuclei is

A

`c (delta m )/(M + delta m )`

B

`c sqrt((2 delta m )/(M + delta m ))`

C

`c sqrt((delta m )/(M))`

D

`c sqrt((delta m )/(M + delta m ))`

Text Solution

Verified by Experts

The correct Answer is:
B
By conservation of energy
`(M + delta m) c^(2) = (2M)/(2)c^(2) + (1)/(2)(2M)/(2)c^(2)v^(2)`
where v is the speed of the daughter nuclei
`rArr delta mc^(2) = (M)/(2)v^(2)` :.nu = c (sqrt((2 delta m )/(M))`
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