Atoms And Nuclei Question 384
Question: In an $ \alpha $ -decay the kinetic energy of $ \alpha $ -particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is (Assume that daughter nucleus is in ground state)
Options:
A) 96
B) 100
C) 104
D) 110
Show Answer
Answer:
Correct Answer: B
Solution:
- We have $ {K_{\alpha }}=\frac{m_{y}}{m_{y}+{m_{\alpha }}}.Q $
$ \Rightarrow ,{K_{\alpha }}=\frac{A-4}{A}.Q\Rightarrow 48=\frac{A-4}{4}.50\Rightarrow A=100 $
