A capacitor of 10 μ F has reactance 2 × 10⁻³ Ω. The corresponding frequency is (a) 25/π MHz (b) 25/π Hz (c) 2.5 MHz (d) (2.5)/(π) MHz

Answer: (a). XC = (1)/(2π fC) ⇒ f = (1)/(2π CXC) f = 12π × 10×10⁻⁶ × 2×10⁻³ = 14π×10⁻⁸ = 25×10⁶π Hz So the answer is (a) 25/π MHz.

A capacitor of 10 μ F has reactance 2 × 10⁻³ Ω. The corresponding… | MHT CET 2026 (12 May, Shift 2)

Q11MHT CET 2026 · 12 MAY · SHIFT 2Easy

Pure R, L and C Circuits

A capacitor of $10\ \mu F$ has reactance $2 \times 10^{-3}\ \Omega$ . The corresponding frequency is

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Answer: (a)

$X_C = \frac{1}{2\pi fC} \Rightarrow f = \frac{1}{2\pi CX_C}$
$f = \frac{1}{2\pi \times 10\times10^{-6} \times 2\times10^{-3}} = \frac{1}{4\pi\times10^{-8}} = \frac{25\times10^{6}}{\pi}$ Hz
So the answer is (a) $\frac{25}{\pi}$ MHz.

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