$Water waves have a wavelength of 3.6cm and speed of 18cms$^{-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.$

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 $^{-1}$

View answer & explanation

Correct answer is C

Velocity = frequency x wavelength

v = 18cm/s, wavelength = 3.6cm, then F = 5hertz

therefore, the speed of the wave in the shallow water = 5 x 2 = 10cm/s

NOTE; as a general rule, the frequency of a wave remains constant while speed and wavelength change as it travels from one medium to another.

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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.