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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

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
K.E. `= ((A - 4)/(A))Q` where, `alpha` particle `= ""_(2)He^(4)`
`= ((220 - 4)/(220)) xx 5.5 = (216)/(220) xx 5.5 = 5.4` eV
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