Two insulated metallic spheres of $3\,\mu F$ and $5\,\mu F$ capacitances are charged to $300\, V$ and $500\, V$ respectively. The energy loss, when they are connected by a wire is
A$0.012\,J$
B$0.0218\,J$
C$0.0375\,J$
D$3.75\,J$
Medium
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C$0.0375\,J$
c $ \Delta \mathrm{U} =\frac{1}{2} \frac{\mathrm{C}_{1} \mathrm{C}_{2}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right)^{2}}{\left(\mathrm{C}_{1}+\mathrm{C}_{2}\right)} $
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