FM Radio waves have their frequency 108 Hertz. Wavelength of these waves is
(speed of light = 3 × 108 ms–1)
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Explanation:
we know that V= f× wavelength
3×10-8= 108× wavelength
wavelength= 3×10-8/108
wavelength= 3× 10-16 m
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The wavelength of the FM radio waves is 2.78×10⁶ m.
Given:
Frequency of FM radio waves, f = 108 Hertz
speed of light, c = 3 × 10⁸ ms⁻¹
To Find:
The wavelength of the FM radio waves.
Solution:
We are required to find the wavelength of the FM radio waves.
The relation between speed, frequency, and wavelength is given as
Frequency, f = speed(c)/ wavelength(λ)
wavelength(λ) = speed(c)/ Frequency(f) ------(1)
c = 3 × 10⁸ ms⁻¹
f = 108 Hertz
On substituting the values of c and f in equation(1) we get
wavelength(λ) = 3 × 10⁸/108
wavelength(λ) = 2.78×10⁶ m
Therefore, The wavelength of the FM radio waves is 2.78×10⁶ m.
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