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MHT CET20255 May 2025Evening ShiftPhysicsAlternating CurrentActual

In an LC circuit, angular frequency at resonance is . The new angular frequency when inductance is made four times and capacitance is made eight times is

Options

  1. A2 2
  2. B4 2
  3. C4
  4. D2

Correct answer

B. 4 2

Step-by-step solution

The angular frequency at resonance for an LC circuit is given by = 1 LC . When both inductance and capacitance are increased by factors of 4 and 8 respectively, the new inductance becomes L' = 4L and the new capacitance C' = 8C . The new angular frequency is therefore ' = 1 L'C' = 1 (4L)(8C) = 1 32LC = 1 4 2 LC . Recognizing that 1 LC = , we substitute to obtain ' = 4 2 . The new angular frequency is thus reduced by a factor of 4 2 .

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