WBJEE · Physics · Nuclear Physics
A radioactive nucleus of mass number A, initially at rest, emits an \(\alpha\)-particle with a speed \(v\). The recoil speed of the daughter nucleus will be
- A \(\frac{2 v}{A-4}\)
- B \(\frac{2 \mathrm{v}}{\mathrm{A}+4}\)
- C \(\frac{4 v}{A-4}\)
- D \(\frac{4 v}{\mathrm{~A}+4}\)
Answer & Solution
Correct Answer
(C) \(\frac{4 v}{A-4}\)
Step-by-step Solution
Detailed explanation
Hints : From conservation of momentum \(4 . \mathrm{V}=(\mathrm{A}-4) \mathrm{V}_1 ; \mathrm{V}=\frac{4 \mathrm{~V}}{\mathrm{~A}-4}\)
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