A) \[0-035\text{ J}\]
B) \[1-5\,\text{J}\]
C) \[3-75\,\text{J}\]
D) \[\text{ }\!\!~\!\!\text{ 0}\text{.0375 J}\]
Correct Answer: D
Solution :
Energy loss when the spheres are connected by wire is given by \[\Delta U=\frac{{{C}_{1}}{{C}_{2}}}{2({{C}_{1}}+{{C}_{2}})}{{({{V}_{1}}-{{V}_{2}})}^{2}}\] \[=\frac{(3\times {{10}^{-6}})\times (5\times {{10}^{-6}})}{2(3+5){{10}^{-6}}}{{(300-500)}^{2}}\] \[=\frac{15}{16}\times 4\times {{10}^{-2}}\] \[=0.0375\,\text{joule}\]
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