A boat is rocked by waves of speed 30ms-1 whose successive crest are 10m apart. Calculate the rate at which the boat recieves the waves

Assessment: WAEC SSCE - Physics - 2009 (Objective) Subject: Physics

Question 1 Report

A boat is rocked by waves of speed 30ms^-1 whose successive crest are 10m apart. Calculate the rate at which the boat recieves the waves

30s^-1

10s^-1

3s^-1

1s^-1

Answer Details

The rate at which the boat receives the waves is equal to the frequency of the waves. The distance between successive crests of the waves is 10m, which is also the wavelength of the wave. Therefore, the formula for the speed of the wave can be written as: speed = wavelength x frequency We are given the speed of the wave as 30m/s and the wavelength as 10m. Rearranging the formula above to solve for frequency gives: frequency = speed / wavelength Substituting the values we have: frequency = 30m/s / 10m = 3s^-1 Therefore, the rate at which the boat receives the waves is 3s^-1, which is option (C).

Read lesson note on Production And Propagation Of Waves (WAEC)

Production And Propagation Of Waves

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A boat is rocked by waves of speed 30ms-1 whose successive crest are 10m apart. Calculate the rate at which the boat recieves the waves

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