Nuclear Physics And Radioactivity Question 68

Question: A radioactive nucleus undergoes a-emission to form a stable element. What will be the recoil velocity of the daughter nucleus if V is the velocity of a-emission and A is the atomic mass of radioactive nucleus [DCE 2000; AIIMS 2004]

Options:

A) $ \frac{4V}{A-4} $

B) $ \frac{2V}{A-4} $

C) $ \frac{4V}{A+4} $

D) $ \frac{2V}{A+4} $

Show Answer

Answer:

Correct Answer: A

Solution:

According to conservation of momentum $ 4v=(A-4)v’ $

Þ $ v’=\frac{4v}{A-4} $ .