Em Waves Question 148

Question: An LC resonant circuit contains a 4 pF capacitor and a 10 mH inductor. It is set into oscillation coupled to an instrument. The wavelength of the radiated electromagnetic waves is:

Options:

A) 355 cm

B) 377 m

C) 400 mm

D) 600 mm

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ v=\frac{1}{2\pi \sqrt{LC}} $

$ \lambda =\frac{C}{v}\Rightarrow \lambda =C\times 2\pi \sqrt{LC} $

$ \lambda =3\times 10^{8}\times 2\times 3.14\times \sqrt{10\times {{10}^{-3}}\times 4\times {{10}^{-12}}} $

$ =377m $