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Increase in wavelength will cause decrease in frequency. When wavelength doubles, the frequency of the wave will reduce to half of its value.
The wave speed is the product of wave frequency and its wavelength.
v = f⋅λ
For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s.
if the wavelength is increased to 10m but the speed stays the same at 600 m/s. That is,
λ = 10m
v = 600 m/s
v = f⋅λ
Substitute f and v into the formula
600 = 10f
f = 600 / 10
f = 60 m
The frequency of the wave is reduced to half of its value.
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