Question

A radio-station broadcasts on wavelength 3 m. If velocity of radio-waves is 3 * 108 m/s,find out its frequency.

Answer 1

Answer on Question#40536 – Physics – Mechanics

A radio-station broadcasts on wavelength 3 m. If velocity of radio-waves is $3 \times 108$ m/s, find out its frequency.

Solution:

$\lambda = 3\mathrm{m}$ – wavelength;

$v = 3 \times 10^{8} \frac{\mathrm{m}}{\mathrm{s}}$ – velocity of the wave;

Formula for the frequency of the wave (T-period of the wave):

$$f = \frac{1}{T} \quad (1)$$

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle:

$$T = \frac{\lambda}{v} \quad (2)$$

(2)in(1):

$$f = \frac{1}{\frac{\lambda}{v}} = \frac{v}{\lambda} = \frac{3 \times 10^{8} \frac{\mathrm{m}}{\mathrm{s}}}{3\mathrm{m}} = 10^{8} \mathrm{Hz}$$

Answer: frequency of the wave is equal to $10^{8}\mathrm{Hz}$.