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MHT CET · Physics · Alternating Current

Figure shows the combination of inductances and capacitances. Resonant frequency of the L - C circuit is
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  1. A \(\frac{1}{2 \pi \sqrt{\mathrm{LC}}}\)
  2. B \(\frac{1}{3 \pi \sqrt{\mathrm{LC}}}\)
  3. C \(\frac{1}{4 \pi \sqrt{\mathrm{LC}}}\)
  4. D \(\frac{1}{6 \pi \sqrt{\mathrm{LC}}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{1}{6 \pi \sqrt{\mathrm{LC}}}\)

Step-by-step Solution

Detailed explanation

\(L_{eq} = L + 2L = 3L\) \(C_{eq} = C + 2C = 3C\)