A wave travelling in the + ve x-direction having displacement along y-direction as 1 m, wavelength 2 π m and frequency of 1/π Hz is represented by (a) y = sin(10 π x - 20 π t) (b) y = sin(2 π x + 2 π t) (c) y = sin(x - 2t) (d) y = sin(2 π x - 2 π t)

Answer: (c). k = (2π)/(2π) = 1 m⁻¹, ω = 2π × 1/π = 2 rad/s Wave along +x, A = 1 m: y = sin (x - 2t) So the answer is (c) y = sin (x - 2t).

A wave travelling in the + ve x-direction having displacement along… | NEET 2013

Q87NEET 2013Easy

Progressive Wave Equation

A wave travelling in the + ve x-direction having displacement along y-direction as 1 m, wavelength 2 $\pi$ m and frequency of $\frac{1}{\pi}$ Hz is represented by

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Answer: (c)

$k = \dfrac{2\pi}{2\pi} = 1\text{ m}^{-1}$ , $\omega = 2\pi \times \dfrac{1}{\pi} = 2\text{ rad/s}$
Wave along $+x$ , $A = 1\text{ m}$ : $y = \sin(x - 2t)$
So the answer is (c) $y = \sin(x - 2t)$ .

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