A fisherman noticed that a float makes 30 oscillations in 15 seconds. The distance between two consecutive crests is 2 m. What is the period and frequency of the wave? What is the wave speed?

Period T = 0.5 s

Frequency F = 2 Hz

Wave speed V = 4 m/s

Explanation:

Given that the

Number of oscillations = 30

Time taken = 15 seconds

The distance between two consecutive crests is called wavelength

Wavelength = 2m

Period is the ratio of time and the number of oscillations

Period T = 15/30 = 0.5 seconds

Frequency F is the reciprocal of period. That is,

F = 1/T

F = 1/0.5 = 2Hz

Wave speed V is the product of frequency and wavelength

V = 2 × 2 = 4m/s

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