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  • A radioactive nucleus of mass number A, Initially at rest, emits an -particle with speed <img alt="\mathrm{v}" src="/lat

A radioactive nucleus of mass number A, Initially at rest, emits an \mathrm{\alpha }-particle with speed \mathrm{v}.The recoil speed of the daughter nuclei is

Option: 1

\mathrm{\frac{4 v}{A-4}}


Option: 2

\mathrm{\frac{4}{A} v}


Option: 3

\mathrm{\frac{A-4}{A} v}


Option: 4

\mathrm{\frac{A-4}{4}v}


Answers (1)

best_answer

Initially linear momentum = 0.

\Rightarrow \text{Final momentum\,}\mathrm{ p_f=0}

\mathrm{\Rightarrow \quad(A-4) v^{\prime}+4 v=0}

\mathrm{\Rightarrow v^{\prime}=-\frac{4 v}{A-4} }.

Negative sign indicates the recoil speed.
option (a) is correct.

Posted by

jitender.kumar

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