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MHT CET202527 Apr 2025Evening ShiftPhysicsAlternating CurrentActual

In an LC circuit, angular frequency at resonance is ' '. What will be the new angular frequency when inductor's inductance is made two times and capacitor's capacitance is made four times?

Options

  1. A2 2
  2. B2
  3. C2
  4. D2 2

Correct answer

A. 2 2

Step-by-step solution

The resonant angular frequency of an LC circuit is given by = 1 LC . When the inductance is doubled and the capacitance is quadrupled, the new values become L' = 2L and C' = 4C . The new resonant frequency is ' = 1 L'C' = 1 (2L)(4C) = 1 8LC . This simplifies to ' = 1 2 2 LC = 2 2 . The new angular frequency is therefore 2 2 , which corresponds to option A .

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