Question

Question:
A radio station is broadcasting radio waves at a wavelength of 200 m. Determine the frequency of these waves.​

Answer 1

correct answer is 1.5×10^6hz

Answer 2

Given:

A radio station is broadcasting radio waves at a wavelength of 200 m.

To find:

Frequency of these waves ?

Calculation:

Radio waves are a part of the electromagnetic spectrum, hence these waves travel at a speed of light (in vacuum = 3 × 10⁸ m/s).

Let wavelength be $\lambda$, frequency be $\nu$ and velocity be v :

$\sf \therefore \: v = \nu \times \lambda$

$\sf \implies\: \nu = \dfrac{v}{\lambda}$

$\sf \implies\: \nu = \dfrac{3 \times {10}^{8} \: m/s }{200 \: m}$

$\sf \implies\: \nu = 1.5 \times {10}^{6} \: {s}^{ - 1}$

$\sf \implies\: \nu = 1.5 \times {10}^{6} \: hz$

So, frequency of radio waves is 1.5 × 10⁶ Hz