A) Energy \[=4VT\left( \frac{1}{r}-\frac{1}{R} \right)\]is released
B) Energy \[=3VT\left( \frac{1}{r}+\frac{1}{R} \right)\] is absorbed
C) Energy \[=3VT\left( \frac{1}{r}-\frac{1}{R} \right)\]is released
D) Energy is neither released nor absorbed
Correct Answer: C
Solution :
Energy released\[=({{A}_{f}}-{{A}_{i}})T\] \[{{A}_{f}}=4\pi {{R}^{2}}=\frac{3}{3}4\pi \frac{{{R}^{3}}}{R}=\frac{3V}{R}\] \[{{A}_{i}}=n\times 4\pi {{r}^{2}}=\frac{V}{\frac{4}{3}\pi {{r}^{3}}}4\pi {{r}^{2}}=\frac{3V}{r}\] \[\Rightarrow \]Energy released \[=3VT\left[ \frac{1}{r}-\frac{1}{R} \right]\]
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