Question 173: Atoms & Nuclei

Question

In a nuclear fission reaction of an isotope of mass $$M$$, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect $$\Delta M$$ will be :

Accepted Answer

$$\begin{aligned}
& \begin{aligned}
& (\mathrm{X}) ightarrow(\mathrm{Y})+(\mathrm{Z})+(\mathrm{P}) \
& \begin{array}{llll}
\mathrm{M} & \mathrm{M} / 3 & \mathrm{M} / 3 & \mathrm{M} / 3
\end{array} \
\end{aligned} \
& \Delta \mathrm{Mc}^2=\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^2+\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^2+\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^2 \
& \mathrm{~V}=\mathrm{c} \sqrt{\frac{2 \Delta \mathrm{M}}{\mathrm{M}}}
\end{aligned}$$

Answer

$$c \sqrt{\frac{3 \Delta M}{M}}$$

Answer

$$\frac{\Delta M c^2}{3}$$

Answer

$$c \sqrt{\frac{2 \Delta M}{M}}$$

Answer

$$\sqrt{\frac{2 c \Delta M}{M}}$$

Atoms & Nuclei

In a nuclear fission reaction of an isotope of mass $M, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect \Delta M$ will be :

Choose the correct answer: