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# If the wavelength of a wave traveling with a velocity of 360ms$$^{-1}$$ is 60cm,...

### Question

If the wavelength of a wave traveling with a velocity of 360ms$$^{-1}$$ is 60cm, the period of the wave is

A) 6s

B) 3.6s

C) 0.17s

D) 0.61s

E) 3s

### Explanation:

Velocity of a wave = Frequency x wavelength
Frequency = 1/period(T)
Velocity = 1/T x wavelength
Velocity = 360
Wavelength = 60
360 = 1/T x 60
CROSS MULTIPLY
360 x T = 1 x 60
360T = 60
DIVIDE BOTH SIDE BY 360
T = 60/360
T = 0.166666
Approximately, T = 0.17s

Explanation provided by Chidubem John

## Discussion (2)

• Velocity of a wave = Frequency x wavelength
Frequency = 1/period(T)
Velocity = 1/T x wavelength
Velocity = 360
Wavelength = 60
360 = 1/T x 60
CROSS MULTIPLY
360 x T = 1 x 60
360T = 60
DIVIDE BOTH SIDE BY 360
T = 60/360
T = 0.166666
Approximately, T = 0.17s

1. Way to go, Chidubem!