Question

In LCR circuit, at a particular angular frequency the capacitive reactance and inductive reactance is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be

• A. \(\frac{1}{4}\)
• B. \(\frac{1}{2}\)
• C. \(1\)
• D. \(4\)

Hint:

Capacitive reactance rises as frequency falls, so the current decreases.

Answer 1

The Correct Option is A

Step 1: Opposition to current:
A capacitor blocks low frequencies more strongly. At zero frequency (DC) it blocks completely.

Step 2: Result:
Lowering the frequency moves the circuit towards that blocking case, so the current and the brightness drop (B).

Final Answer:
Brightness is reduced. \[ \boxed{\text{(B)}} \]