The angular frequency of a particle in a progressive wave in an elastic medium is 100πrads-1 and it is moving with a velocity of 200ms-1. The phase difference between two particles separated by a distance of 20m is

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31.4 rad

πrad

36 rad

answer is A.

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Detailed Solution

ω=100πrad/s; V=200m/s;Δx=20mΔϕ=2πλΔxw=2πn=100π⇒n=50HzV=nλ⇒λ=vn=20050=4mΔϕ=2π4(20)=10π=10×3.14=31.4rad

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