Question 8.5: A radio can tune in to any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band?
Class 12 - Physics - Electromagnetic Waves Electromagnetic Waves Page-286
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A radio can tune to minimum frequency, v1=7.5MHz = 7.5 × 10^6 Hz
maximum frequency,v2=12MHz=12 × 10^6 Hz
speed of light , c = 3 × 10^8 m/s
use the relation , wavelength = speed of light /frequency
so, minimum wavelength = speed of light/maximum frequency
= 3 × 10^8/12 × 10^6
= 25 m
and maximum wavelength = speed of light/minimum wavelength
= 3 × 10^8/7.5 × 10^6
= 300/7.5 = 40 m
hence, range of wavelength is 25m - 40m
maximum frequency,v2=12MHz=12 × 10^6 Hz
speed of light , c = 3 × 10^8 m/s
use the relation , wavelength = speed of light /frequency
so, minimum wavelength = speed of light/maximum frequency
= 3 × 10^8/12 × 10^6
= 25 m
and maximum wavelength = speed of light/minimum wavelength
= 3 × 10^8/7.5 × 10^6
= 300/7.5 = 40 m
hence, range of wavelength is 25m - 40m
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