A) \[10\text{ }\mu F\]
B) \[40\text{ }\mu F\]
C) \[20\text{ }\mu F\]
D) \[30\text{ }\mu F\]
Correct Answer: C
Solution :
Capacitance of a parallel plate capacitor, \[C=\frac{KA{{\varepsilon }_{0}}}{d}\] \[\therefore \] \[C\propto \frac{1}{d}\] \[\frac{{{C}_{1}}}{{{C}_{2}}}=\frac{{{d}_{2}}}{{{d}_{1}}}\] \[\frac{10}{{{C}_{2}}}=\frac{4}{8}\] \[{{C}_{2}}=20\mu F\]
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