Chapter 2: Q.32P (page 45)

A particular AM radio station broadcasts at a frequency of 990kHz. (a) What is the wavelength of this electromagnetic radiation? (b) How much time is required for the radiation to propagate from the broadcasting antenna to a radio 3 km away?

Expert verified

The wavelength of the electromagnetic radiation is 303m.

Step by step solution

The frequency of the broadcast station, $f = 990 kHz$

The expression to calculate the wavelength of the broadcast station is given as follows.

$λ = \frac{v}{f}$ …… (i)

Here, v is the speed of the light.

Calculate the wavelength of the electromagnetic radiation.

Substitute 990kHz for f and $3 \times 10^{8} m / s$ for v into equation (i).

$λ = \frac{3 \times 10^{8}}{990 \times 10^{3}} λ = \frac{3000 \times 10^{2}}{990} λ = 3.030 \times 10^{2} λ = 3.03 m$

Hence the wavelength of the electromagnetic radiation is 303m.

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