Nuclear Physics Question 6
Question 6 - 2024 (30 Jan Shift 2)
In a nuclear fission reaction of an isotope of mass $\mathrm{M}$, three similar daughter nuclei of same mass are formed.
The speed of a daughter nuclei in terms of mass defect $\Delta \mathrm{M}$ will be :
(1) $\sqrt{\frac{2 \mathrm{c} \Delta \mathrm{M}}{\mathrm{M}}}$
(2) $\frac{\Delta \mathrm{Mc}^{2}}{3}$
(3) $c \sqrt{\frac{2 \Delta M}{M}}$
(4) $c \sqrt{\frac{3 \Delta M}{M}}$
Show Answer
Answer: (3)
Solution:
$(\mathrm{X}) \rightarrow(\mathrm{Y})+(\mathrm{Z})+(\mathrm{P})$
M $\mathrm{M} / 3 \mathrm{M} / 3 \mathrm{M} / 3$
$\Delta \mathrm{Mc}^{2}=\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^{2}+\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^{2}+\frac{1}{2} \frac{\mathrm{M}}{3} \mathrm{~V}^{2}$
$\mathrm{V}=\mathrm{c} \sqrt{\frac{2 \Delta \mathrm{M}}{\mathrm{M}}}$
