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.

Options

A. If both assertion and reason are true but reason is not the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion and reason both are false.

Answer

B

Explanation

By the formula capacitance of a cpacitor
`C_(1) = epsilon_(0) xx (KA)/(d) alpha (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 meterial o fthe capacitor.