First slide

Travelling wave

Question

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

Moderate

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

Solution

Phase difference between two successive crest is 2 $π$ . Also, phase difference $(Δφ) = \frac{2 π}{T}$ time interval $(Δt)$
$\Rightarrow 2 π = \frac{2 π}{T} \times 0 .2 \Rightarrow \frac{1}{T} = 5 \sec^{- 1} \Rightarrow n = 5 Hz$

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