Question

The distance between two successive crests of a certain transverse wave is 1.40 m. 25 crests pass a given point along the direction of travel every 12.4 s. Calculate the wave speed. Answer in units of m/s.

Answer 1

Answer: 2.82m/s

Explanation:

Wave speed(v) is the product of the frequency (f) of a wave and its wavelength (¶)

V = f¶

Since wavelength is the distance between two successive crests or trough, the wavelength given is 1.40m i.e ¶ = 1.40m

If the total crest is 25, this means that 25 oscillations occurs in 12.4s.

Since the number of oscillation made in one second is the frequency, frequency = 25/12.4 = 2.01cycle/seconds

Speed of the wave v = 2.01×1.4

V =

Wave speed is 2.82m/s