Wave motionMediumBloom L3
Question
Here given graph shows the motion of particle at x = 0 of a progressive wave. 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 (ωt – kx), y = A sin (ωt + kx)
B.y = A sin (kx – ωt), y = A sin (kx + ωt)
C.y = A cos (ωt – kx), y = A cos (ωt + kx)
D.y = A cos (kx – ωt ), y = A cos (ωt + kx)
Solution
Sol. Equation of given graph :
y = A sin ωt
In +ve x direction, Equation :
y = A sinω$\left( t - \frac{x}{v} \right)$ = A sin (ωt – kx)
In –ve x direction, Equation :
y = A sinω$\left( t + \frac{x}{v} \right)$ = A sin (ωt + kx)
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