Solve this: 159 A nucleus at rest disintegrates emitting an α - particle Q-value of the process and - Physics - Atoms

Question

Solve this:
159 A nucleus at rest disintegrates emitting an α - particle
Q-value of the process and energy of the α -particle emitted
are 10 2 MeV and 10 MeV respectively Atomic mass of the nucleus
is
(1) 196
(2) 200
(3) 294
(4) 208

Vijay Shankar Yadav · Accepted Answer

Dear Student,
Let mass of  nucleus is M and recoil velocity vthen according to question by conservation of energy12Mv2+10Mev=10
2MeV12Mv2=
2Mev-----1and by conservation of momentum0=Mv+mαvα(Mv)2=mαvα2M
12Mv2=mα12mαvα2M×
2=4×10M=200So atomic mass of parant nucleus is 204 and of daughter 200
Regards

Solve this: 159. A nucleus at rest disintegrates emitting an α - particle. Q-value of the process and energy of the α -particle emitted are 10.2 MeV and 10 MeV respectively. Atomic mass of the nucleus is (1) 196 (2) 200 (3) 294 (4) 208

Solve this:
159. A nucleus at rest disintegrates emitting an $α$ - particle. Q-value of the process and energy of the $α$ -particle emitted are 10.2 MeV and 10 MeV respectively. Atomic mass of the nucleus is
(1) 196
(2) 200
(3) 294
(4) 208