The graph shows a wave at t = 0 travelling to the right with a velocity of 4 m/s. The equation that best represents the wave is
A
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B
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C
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D
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Solution
The correct option is A Let equation of the wave is y=Asin(ωt−kx+ϕ0) The particle at origin is moving downwards (from graph) at t=0,soϕ0=π. Also A = 2 m from graph. From graph,λ=8m,sok=2πλ=π4 ω=vk=4×π4=π Putting all the values y=2sin[πt−π4x+π]⇒y=2sin[π4x−πt]