Q105 / 160 · JIPMER 2012 · Physics

In an $L-C-R$ circuit inductance is changed from $L$ to $L / 2$. To keep the same resonance frequency, $C$ should be changed to

  • Correct answer
    A
    $2 C$
  • B
    $\frac{C}{2}$
  • C
    $4 C$
  • D
    $\frac{C}{4}$

Solution

$v=\frac{1}{\sqrt{L C}}$ When $L$ is changed to $L / 2, C$ must be changed to 2 C to keep $v$ same.

Hence, the correct answer is option: 'A'.

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