Nuclear Physics Question 6
Question 6 - 2024 (30 Jan Shift 2)
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 :
(1) $\sqrt{\frac{2 c \Delta M}{M}}$
(2) $\frac{\Delta Mc^{2}}{3}$
(3) $c \sqrt{\frac{2 \Delta M}{M}}$
(4) $c \sqrt{\frac{3 \Delta M}{M}}$
Show Answer
Answer: (3)
Solution:
$(X) \rightarrow(Y)+(Z)+(P)$
M $M / 3 M / 3 M / 3$
$\Delta Mc^{2}=\frac{1}{2} \frac{M}{3} V^{2}+\frac{1}{2} \frac{M}{3} V^{2}+\frac{1}{2} \frac{M}{3} V^{2}$
$V=c \sqrt{\frac{2 \Delta M}{M}}$
