Water waves have a wavelength of 3.6cm and speed of 18cms\(^{-1 }\) in deep water. If the waves enter shallow water with wavelength of 2.0cm, calculate the speed of the waves in the shallow water.
0.4cms\(^{-1}\)
2.5cms\(^{-1}\)
10.0cms\(^{-1}\)
10.8cms\(^{-1}\)
Explanation
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Discussions (8)
when a water wave travels from deep to shallow water its frequency remains the same.
In deep water,
Velocity = wavelength × frequency.
V = 18cms-1
Wavelength= 3.6cm
freq. = 18/3.6 = 5Hz
In shallow water,
Velocity = 2 × 5 = 10cms-1
so option C is the correct answer, my school please make corrections
Velocity = wavelength × frequency.
V = 18cms-1
Wavelength= 3.6cm
freq. = 18/3.6 = 5Hz
In shallow water,
Velocity = 2 × 5 = 10cms-1
so option C is the correct answer, my school please make corrections
The chosen answer for this question is wrong. This is because the frequency in deep water is same as in shallow water which when calculated is 5Hz. Now if we use that to calculate the new wave velocity, we should have 5 × 2 and that should be 10cms^-1. That's option C.
