A nucleus of uranium decays at rest into nucl | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) If $\vec{p}_{Th}$ and $\vec{p}_{He}$ are the momenta of thorium and helium nuclei respectively,then according to the law of conservation of linear

Vedclass · Accepted Answer

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

Vedclass · Answer

(D) If $\vec{p}_{Th}$ and $\vec{p}_{He}$ are the momenta of thorium and helium nuclei respectively,then according to the law of conservation of linear momentum:$0 = \vec{p}_{Th} + \vec{p}_{He}$ or $\vec{p}_{Th} = -\vec{p}_{He}$.The negative sign shows that both are moving in opposite directions. However,in magnitude,$p_{Th} = p_{He}$.If $m_{Th}$ and $m_{He}$ are the masses of thorium and helium nuclei respectively,then the kinetic energy of the thorium nucleus is $K_{Th} = \frac{p_{Th}^2}{2m_{Th}}$ and that of the helium nucleus is $K_{He} = \frac{p_{He}^2}{2m_{He}}$.Therefore,$\frac{K_{Th}}{K_{He}} = \left(\frac{p_{Th}}{p_{He}}\right)^2 \left(\frac{m_{He}}{m_{Th}}\right)$.Since $p_{Th} = p_{He}$ and $m_{He}  K_{Th}$.Thus,the helium nucleus has more kinetic energy than the thorium nucleus.

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

Similar Questions

$A$ chain reaction is continuous due to

Let $E_1$ and $E_2$ be the binding energies of two nuclei $A$ and $B.$ It is observed that two nuclei of $A$ combine together to form a $B$ nucleus. This observation is correct only if

Assertion: Heavy water is a better moderator than normal water.
Reason: Heavy water absorbs neutrons more efficiently than normal water.

The process by which a heavy nucleus splits into light nuclei is known as

When Uranium is bombarded with neutrons,it undergoes fission. The fission reaction can be written as ${}_{92}U^{235} + {}_0n^1 \to {}_{56}Ba^{141} + {}_{36}Kr^{92} + 3x + Q$,where three particles named $x$ are produced and energy $Q$ is released. What is the name of the particle $x$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module