wave_mechanics progressive_waves Question 3

Question: A travelling wave passes a point of observation. At this point, the time interval between successive crests is 0.2 seconds and

[MP PMT 1990]

Options:

A) The wavelength is 5 m

B) The frequency is 5 Hz

C) The velocity of propagation is 5 m/s

D) The wavelength is 0.2 m

Show Answer

Answer:

Correct Answer: B

Solution:

Phase difference between two successive crest is 2p.

Also, phase difference $ (\Delta \varphi ) $ = $ \frac{2\pi }{T} $ time interval $ (\Delta t) $

Therefore $ 2\pi =\frac{2\pi }{T}\times 0.2\Rightarrow \frac{1}{T}=5{{\sec }^{-1}}\Rightarrow n=5Hz $