| Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as: |
| Assertion (A): If the distance between parallel plates of capacitor is halved and dielectric constant is made three times, then the capacitance becomes six times. |
| Reason (R): Capacitance of the capacitor does not depend upon the nature of the material of the plates. |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false and Reason (R) is also false
Correct Answer: C
Solution :
(c) The capacitance C, with dielectric between the plates is given as \[C=\frac{{{\varepsilon }_{0}}KA}{d}\] As, \[d'=\frac{d}{2},\,K'=3k\], 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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