The wave velocity of a progressive wave is 480 ms−1 and the phase difference between the two particles separated by a distance of 12 m is 10800. The number of waves passing across a point in 1 sec is
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a
120
b
240
c
60
d
360
answer is A.
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Detailed Solution
Given , Velocity v=480 m/s Phase difference ϕ=1080∘ =1080×π180=6π Distance x=12 m Time t=1sec Number of waves passing n=? Phase difference ϕ=2πλ.x 6π=2πλ×12 ⇒λ=4 m As v=nλ 480=n×4 ∴ n=120 Hz