Question

Radio waves travelling at 3x108 m/s have a frequency of 1.017x108 Hz. Its wavelength is m rounded to the nearest tenth.

Answer 1

Answer: 3 metres

Explanation:

The wavelength of a wave is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ.

Recall that Velocity (V) = Frequency F x wavelength λ

In this case, wavelength (λ)= ?

Frequency of radio wave = 1.017x10^8 Hz

Velocity of radio waves = 3x10^8 m/s

Apply V = F λ

3x10^8 m/s = 1.017x10^8 Hz x λ

Make λ the subject formula

λ = (3x10^8 m/s / 1.017x10^8 Hz)

λ = 2.95 metres (To the nearest tenth, it becomes 3 metres)

Thus, the wavelength of the radio waves is 3metres