JEE Main · PhysicsHard

In an LCR series circuit, the resonance frequency is $f_0$. If the capacitor is replaced by two capacitors of the same capacitance connected in parallel, the new resonance frequency becomes:

  1. A.$f_0/2$
  2. B.$\sqrt{2}f_0$
  3. C.$f_0/\sqrt{2}$
  4. D.$2f_0$
Show correct answer & step-by-step solution

Correct answer: B$\sqrt{2}f_0$

Solution

When two capacitors of capacitance are connected in parallel, the equivalent capacitance becomes . Since the resonance frequency , the new frequency is .

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