Assertion: If the distance between parallel plates of a capacitor is halved and dielectric constant is made three times, then the capacitor becomes `6` times. Reason: Capacity of the capacitor does not depend upon the nature of the meterial.A. If both assertion and reason are true and reson is the correct explanation of the assertion.B. If both assertion and reason are true but reason is not the correct explanation of the assertion.C. If the assertion is true but the reason are false.D. If both the assertion and reason are false.

Assertion: If the distance between parallel plates of a capacitor is h

1.	Assertion: If the distance between parallel plates of a capacitor is halved and dielectric constant is made three times, then the capacitor becomes `6` times. Reason: Capacity of the capacitor does not depend upon the nature of the meterial.A. If both assertion and reason are true and reson is the correct explanation of the assertion.B. If both assertion and reason are true but reason is not the correct explanation of the assertion.C. If the assertion is true but the reason are false.D. If both the assertion and reason are false.
Answer» Correct Answer - B By the formula capacitance of a cpacitor `C_(1) = epsilon_(0) xx (KA)/(d) prop (K)/(d)` Hence, `(C_(1))/(C_(2)) = (K_(1))/(d_(1)) xx (d_(2))/(K_(2)) = (K_(1))/(K_(2)) xx (d//2)/(3K) = (1)/(6)` or `C_(2) = 6C_(1)` Again for capacity of a capacitor `C = (Q)/(V)` Therefore, capacity of a capacitor does not depend upon the nature of the material of the capacitor.

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