Single Choice

Work done in placing a charge of $$\displaystyle 8\times { 10 }^{ -18 }C$$ on a condenser of capacitor $$\displaystyle 100$$ microfarad.

A$$\displaystyle 32\times { 10 }^{ -32 }J$$
Correct Answer
B$$\displaystyle 16\times { 10 }^{ -32 }J$$
C$$\displaystyle 3.1\times { 10 }^{ -26 }J$$
D$$\displaystyle 4\times { 10 }^{ -10 }J$$

Solution

Work done, $$\displaystyle W=\frac { { q }^{ 2 } }{ 2C } $$
$$\displaystyle =\frac { { \left( 8\times { 10 }^{ -18 } \right) }^{ 2 } }{ 2\times 100\times { 10 }^{ -6 } } $$
$$\displaystyle =32\times { 10 }^{ -32 }J$$

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