A radio can tune in to any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band?


Given: Minimum frequency v1 = 7.5 MHz

In Hz, v1 = 7.5 × 106 Hz


Maximum frequency v2 = 12 MHz


In Hz, v2 = 12 ×106 Hz


Speed of light c = 3 × 108 m/s


Now wavelength for frequency v1 = 7.5 MHz is given by the following relation:


λ 1 = c/v1




⇒ λ1 = 40 m


The wavelength for frequency v2 = 12 MHz is given by the following relation:


λ2 = c/v2




λ 2 = 25m


∴ the range is 20 m to 40 m.


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