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← JEE Main 2022 · 29 Jun · Shift 2
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JEE Main 2022 · 29 Jun · Shift 2, Physics question 60

An inductor of 0.5 mH, a capacitor of 200 μ\muF and a resistor of 2 Ω\Omega are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ______ ×102\times10^2 Hz.

Answer and worked solution

Official answer: 5

In phase means resonance: f=12πLC=12π10−7≈503f=\dfrac1{2\pi\sqrt{LC}}=\dfrac1{2\pi\sqrt{10^{-7}}}\approx503 Hz ≈5×102\approx5\times10^2 Hz.

Answer: 5