Question
Download Solution PDFThe wave length (λ) in meters of an electromagnetic wave is related to its frequency (f) in MHz as:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWavelength (λ) is equal to the distance traveled by the wave during the time in which any one particle of the medium completes one vibration about its mean position. It is the length of one wave.
Frequency (f) of vibration of a particle is defined as the number of vibrations completed by the particle in one second. It is the number of complete wavelengths traversed by the wave in one second.
The relation between velocity, frequency, and wavelength:
c = f × λ
Where,
c is the speed of light in vacuum = 3 x 108 m/s
\(\lambda = \frac{3\times10^8}{f}\)
But since it is given that the frequency is in MHz, we can write:
\(\lambda = \frac{300\times10^6}{f(MHz)}\)
Since 1 MHz = 106 Hz, the above can be written as:
\(\lambda = \frac{300~MHz}{f(MHz)}\)
\(\lambda = \frac{300}{f}\)
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