A wave travelling in the +ve x-direction having displacement

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A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2π m and frequency 1/π Hz is represented by

1. y = sin (2πx – 2πt)
2. y = sin (10πx – 20πt)
3. y = sin (2πx + 2πt)
4. y = sin (x – 2t)

Correct Option: D

As Y = A sin (ωt – kx + φ)

ω = 2πf =	2π	= 2 [ ∵ f =	1	]
	π		π

k =	2π	=	1	= 1 [∵ f = 2π]
	π		2π

∴ Y = 1 sin (2t – x + φ) [∵ A = 1 m]