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MHT CET · Physics · Alternating Current

A \(20 \Omega\) resistance, 10 mH inductance coil and \(15 \mu \mathrm{~F}\) capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is made \(\frac{1}{3} \mathrm{rd}\), the resonant frequency

  1. A remains unchanged.
  2. B is doubled.
  3. C is quadrupled.
  4. D is halved.
Verified Solution

Answer & Solution

Correct Answer

(A) remains unchanged.

Step-by-step Solution

Detailed explanation

The resonant frequency for an RLC series circuit is given by \(f_0 = \frac{1}{2\pi\sqrt{LC}}\). The resonant frequency is independent of the resistance (R).
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