Wave motionHardBloom L3

Question

Here given snap shot of a progressive wave at t = 0 with time period = T. Then the equation of the wave if wave is going in +ve x-direction and if wave is going in –ve x-direction will be respectively.$\left( Here,T = \frac{2\pi}{\omega} \right)$

Options

A.y = A sin (kx + ωt), y = A sin (kx – ωt)
B.y = A cos (kx + ωt), y = A cos (kx – ωt)
C.y = A sin (ωt – kx), y = A sin (ωt + kx)
D.y = A sin (kx – ωt), y = A sin (kx + ωt)

Solution

Sol. Equation of given graph:

y = A sin kx

In +ve x direction, Equation:

y = A sink(x– vt) = A sin (kx – ωt)

In –ve x direction, Equation:

y = A sin k(x+ vt) = A sin (ωt + kx)

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