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Question

When a wave travels in a medium, the particle displacement is given by
y(x,t)=0.03 sin π(2t0.01x)
where y and x are expressed in metres and t in seconds. At a given instant of time, the phase difference between two particles 25 m apart is


A

π8

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B

π4

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C

π2

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D

π

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Solution

The correct option is B

π4


The particle displacement is given by
y(x,t)=Asin{2πλ(vtx)}
Comparing this with the given equation, we have
2πλ=0.01π
λ=200 m
Now, phase difference, Δϕ=2πλΔx=2π200×25=π4
Hence, the correct choice is (b).


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