A nucleus of uranium decays at rest into nuclei of thorium and...

A nucleus of uranium decays at rest into nuclei of thorium and helium. Then :

Options

Athe helium nucleus has less momentum than the thorium nucleus
Bthe helium nucleus has more momentum than the thorium nucleus
Cthe helium nucleus has less kinetic energy than the thorium nucleus
Dthe helium nucleus has more kinetic energy than the thorium nucleus

Correct answer

D. the helium nucleus has more kinetic energy than the thorium nucleus

Step-by-step solution

In an explosion a body breaks up into two pieces of unequal masses both part will have numerically equal momentum and lighter part will have more velocity.

\mathrm{U} \rightarrow \mathrm{Th}+\mathrm{He}\mathrm{KE}_{\mathrm{Th}}=\frac{\mathrm{P}^{2}}{2 \mathrm{ m}_{\mathrm{Th}}}, \mathrm{KE}_{\mathrm{He}}=\frac{\mathrm{P}^{2}}{2 \mathrm{ m}_{\mathrm{He}}}

sinc

\mathrm{m}_{\mathrm{He}}

is less so

\mathrm{KE}_{\mathrm{He}}

will be more.

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