The displacement versus time relation for a disturbance travelling with velocity of `1500 m//s`. Calculate the wavelength of the disturbance.
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Options

A. `4xx 10^-3 m`
B. `1 xx 10^-3 m`
C. ` 3 xx 10^-3 m`
D. ` 2 xx 10^-3 m`

Answer

C

Explanation

From the graph, time taken by the wave to move from one crest to the other = time period,
`T = (3 mu s - 1 mu s) = 2 mu s = 2 xx 10^-6 s`.
Frequency of the wave, `v = (1)/(T) =(1)/(2 xx 10^-6) = 5 xx 10^5 Hz`
As `v = v lamda, lamda = (v)/(v) = (1500 m//s)/(5 xx 10^5 Hz) = 3 xx 10^-3 m`.