A wave equation which gives the displacement of particle along y− direction is represented as y=104sin(60t+2x), where x and y are in metre and t in sec. Among the following choose the correct statement.
A
It represents a wave propagating along positive x− axis with a velocity of 30m/s
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B
It represents a wave propagating along negative x− axis with a velocity of 120m/s
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C
It represents a wave propagating along negative x− axis with a velocity of 30m/s
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D
It represents a wave propagating along negative x− axis with a velocity of 104m/s
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Solution
The correct option is C It represents a wave propagating along negative x− axis with a velocity of 30m/s From the given wave function, ω=60,k=2 Wave velocity is, v=ωk=602=30m/s Since the displacement (y) is of the form Asin(ωt+kx), therefore wave velocity is along negative x−direction. ⇒Option (c) is correct.