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99 Percentile Qs Bank for JEE MainPhysicsAlternating Current

The frequency of ac at which 16 F capacitor and 10 ^2 mH inductor will have same reactance is

Options

  1. A1 kHz
  2. B1.25 kHz
  3. C1.5 kHz
  4. D2 kHz

Correct answer

B. 1.25 kHz

Step-by-step solution

aligned & Given, capacitance, C =16 F =16 10⁻⁶ ~F & Inductance, L = 10 ^2 mH = 10 ^2 10⁻³ H & X _ L = X _ C or, L = 1 C & or L (2 f )= 1 C (2 f ) & f = 1 LC 4 ^2 or, frequency, f = 1 2 1 LC & f = 1 2 10 ^2 10⁻³ 16 10⁻⁶ = 1 2 10^4 4 & = 10 8 kHz aligned f =1.25 kHz

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