Question

A wave has a velocity of 24 m/s and a period of 3.0 s. Calculate the wavelength of the wave

Answer 1

72 m

Step-by-step explanation:

The period of a wave is the amount of time it takes a wave complete one full cycle. The period is the inverse of the frequency.

Given;

Wave Velocity V = 24 m/s

Period T = 3.0s

Frequency of the wave F = 1/T= 1/3

Wavelength W= ?

Wavelength is the distance covered by a wave in a complete cycle i.e from one crest to another, or from one trough to another.

W = V/F = VT

W = 24/ (1/3)

W = 24 × 3

W = 72 m

Answer 2

The applicable expressions is;
Wavelength = Velocity/Frequency
Where

Frequency = 1/Period = 1/3

Therefore,

Wavelength of the wave = 24/(1/3) = 24*3 = 72 m