Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

An L-C resonant circuit contains a 200 pF capacitor and a 200 µH inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is:

Options:

377 mm

377 m

377 cm

3.77 cm

Correct Answer:

377 m

Explanation:

Frequency of L-C oscillations is $\mathrm{v}=\frac{1}{2 \pi \sqrt{\mathrm{LC}}}=\frac{1}{2 \times 3.14 \sqrt{200 \times 10^{-6} \times 200 \times 10^{-12}}}=0.0796 \times 10^7 \mathrm{~Hz}$

So, wavelength, $\lambda=\frac{\mathrm{c}}{\mathrm{v}}=\frac{3 \times 10^8}{0.0796 \times 10^7}=377 \mathrm{~m}$