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The displacement versus time relation fo...

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

A

`4xx 10^-3 m`

B

`1 xx 10^-3 m`

C

` 3 xx 10^-3 m`

D

` 2 xx 10^-3 m`

Text Solution

Verified by Experts

The correct Answer is:
C
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`.
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