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A nucles with mass number 220initilly at...

A nucles with mass number `220`initilly at rest enits an `a -` particle. If the `Q` value of the reaction is `5.5MeV`, calculate the kinetic energy of the `a - `particle

A

`4.4 MeV`

B

`5.4 MeV`

C

`5.6 MeV`

D

`6.5 MeV`

Text Solution

Verified by Experts

The correct Answer is:
B

By conservation of momentum , `p_(1) = p_(2) `
` sqrt(2K_(1) m_(1)) = sqrt(2K_(2) m_(2)) `
`rArr sqrt(2K_(1)(216)) = sqrt(2K_(2)(4)) `
rArr K_(2) = 54K_(1) ` …(i)
`Also , K_(1) + K_(2) = 5.5 MeV` …(ii)
solve equation (i) and (ii)
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