Question

Given below are two statements.

Assertion - Resonance frequency will decrease in a series LCR circuit if a dielectric slab is inserted in between the plates of the capacitor.

Reason - By doing so, capacity of capacitor will increase.

Based on the above statements, choose the correct alternative.

• A. Both assertion and reason are true, and reason is a correct explanation of assertion.
• B. Both assertion and reason are true, but reason is not a correct explanation of assertion.
• C. Assertion is true, but reason is false.
• D. Assertion is false, but reason is true.

Answer 1

The correct option is A Both assertion and reason are true, and reason is a correct explanation of assertion.

We know that, resonance frequency of a series LCR circuit is,

$f_0=\frac{1}{2\pi \sqrt{LC}}$

If a dielectric slab is inserted in between the plates of the capacitor, the capacity of the capacitor increases, which in turn decreases the resonance frequency.

Therefore, both assertion and reason are true, and reason is a correct explanation of assertion.

Hence, option $\left(A\right)$ is the correct answer.