| ASSERTION: If the distance between parallel plates of a capacitor is halved and dielectric constant is made three times, then the capacitance becomes six times. |
| REASON: Capacitance of the capacitor does not depend upon the nature of the material of the plates. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: C
Solution :
The capacitance C, with dielectric between the plates is given as. \[C=\frac{{{\varepsilon }_{0}}KA}{d}\] as, \[d'=\frac{d}{2},\,K'=3\,K\], then new capacitance becomes \[C'=\frac{{{\varepsilon }_{0}}3KA}{\frac{d}{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,C'=\frac{6{{\varepsilon }_{0}}KA}{d}=6C\] The capacitance C depends only on the geometrical configuration (shape, size, separation) of the system of two conductors.
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