A) \[c\sqrt[{}]{\frac{\Delta m}{M+\Delta m}}\]
B) \[c\frac{\Delta m}{M+\Delta m}\]
C) \[c\sqrt[{}]{\frac{2\Delta m}{M}}\]
D) \[c\sqrt[{}]{\frac{\Delta m}{M}}\]
Correct Answer: C
Solution :
\[\Delta m{{c}^{2}}=2\times \frac{1}{2}\times \left( \frac{M}{2} \right){{v}^{2}}\] \[{{v}^{2}}=\frac{2\Delta m{{c}^{2}}}{M},v=c\sqrt[{}]{\frac{2\Delta m}{M}}\]
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