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A nucleus with mass number 220 initially...

A nucleus with mass number 220 initially at rest emits an `alpha`-particle. If the Q-value of the reaction is 5.5 MeV, calculate the kinetic energy of the `alpha`-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
Given that `K_1+K_2=5.5MeV` ...(i)
From conservation of linear momentum,
`p_1=p_2` or `sqrt(2K_1(216m))=sqrt(2K_2(4m))` as `p=sqrt(2km)`
:. `K_2=54K_1`…(ii)
Solving Eqs. (i) and (ii), we `K_2 = KE` of `alpha`-particle `=5.4MeV`
:. The correct option is (b).
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