CUET · PHYSICS · PYQ PAPER 2025
A radio wave of wavelength 300 m can be transmitted by a transmission center. A condenser of capacity \( 2.5 \mu F \) is available. The inductance of the required coil at resonance is
(Given: \( \pi^2 = 10 \))
- A \( 1.00 \times 10^{-8} \text{ H} \)
- B \( 2.12 \times 10^{-8} \text{ H} \)
- C \(1.00 \times 10^{8} \text{ H} \)
- D \( 2.12 \times 10^{8} \text{ H} \)
Answer & Solution
Correct Answer
(A) \( 1.00 \times 10^{-8} \text{ H} \)
Step-by-step Solution
Detailed explanation
\( f = \frac{c}{\lambda} \) \( f = \frac{1}{2\pi\sqrt{LC}} \) \( L = \frac{\lambda^2}{4\pi^2 c^2 C} \) \( L = \frac{(300)^2}{4 \times 10 \times (3 \times 10^8)^2 \times (2.5 \times 10^{-6})} \)…
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