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Question
State the relation between the wavelength and the frequency.
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Solution
Consider a wave is propagating through a medium,
Let,ƒ = Frequency of wave
λ = Wavelength of wave
T = Time period of the wave.
In the time ‘T’, distance covered by wave = λ
In the time 1 second, distance covered by wave = `λ/"T"`
But distance covered by wave in one second = v = Velocity of the wave
`=> "v" = lambda/"T"`
But we know frequency (f) = `1/("Time period"("T"))`
⇒ v = `lambda(1/"T") = lambda"f"`
∴ λf
Which is the required relation between wavelength and frequency.
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