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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?

Short Answer

Expert verified

The wavelength of the electromagnetic radiation is 303m.

Step by step solution

01

Write the given data from the question.

The frequency of the broadcast station,f=990kHz

02

Determine the formulas to calculate the wavelength of the electromagnetic radiation.

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

λ=vf …… (i)

Here, v is the speed of the light.

03

Calculate the wavelength of the electromagnetic radiation and time required to propagate the radiation.

Calculate the wavelength of the electromagnetic radiation.

Substitute 990kHz for f and3×108m/s for v into equation (i).

λ=3×108990×103λ=3000×102990λ=3.030×102λ=3.03m

Hence the wavelength of the electromagnetic radiation is 303m.

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