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MHT CET202615 April 2026Morning ShiftPhysicsAlternating CurrentActual

Determine the frequency for which a 10 , F capacitor has a reactance of 2 10⁻³ , .

Options

  1. A25 MHz
  2. B20 MHz
  3. C2 10⁻³ MHz
  4. D10 MHz

Correct answer

A. 25 MHz

Step-by-step solution

The capacitive reactance is given by the formula: X_C = 1 2 f C Rearranging for frequency f : f = 1 2 X_C C Substituting the given values X_C = 2 10⁻³ , and C = 10 , F = 10 10⁻⁶ , F : f = 1 2 (2 10⁻³) (10 10⁻⁶) f = 1 4 10⁻⁸ f = 10^8 4 f = 100 10^6 4 f = 25 10^6 , Hz f = 25 , MHz

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