Question

Some radio waves have a frequency of 4.8 × 10^9 Hz. Wave speed of electromagnetic waves = 3.0 × 10^8 m/s. Calculate the wavelength of the radio waves. Give your answer to 2 significant figures. Give the unit. *
4 points
Your answer
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Answer 1

Answer : The wavelength of the radio waves is $6.2\times 10^{-2}m$

Explanation : Given,

Frequency = $4.8\times 10^9 Hz$

Wave speed = $3.0\times 10^8 m/s$

As we know that the speed of a wave is related to its frequency and wavelength.

Formula used:

$\nu =f\times \lambda$

where,

$\nu$ is the wave speed in metres per second, (m/s )

f is the frequency in hertz, (Hz )

$\lambda$ is the wavelength in metres, (m)

Now putting all the given values in the above formula, we get:

$3.0\times 10^8 m/s=(4.8\times 10^9 Hz)\times \lambda$

$\lambda=6.2\times 10^{-2}m$

Therefore, the wavelength of the radio waves is $6.2\times 10^{-2}m$