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A travelling wave represented by y (x, t...

A travelling wave represented by y (x, t) = nsin(kx - `omega`t) is superimposed on another wave represented by y(x, t) = asin(kx + `omega`t). The resultant is a

A

A wave travelling along `+ x` direction

B

A wave travelling along `- x` direction

C

A standing wave having nodes at `x = (nlambda)/(2), n = 0, 1, 2 …..`

D

A standing wave having nodes at `x = (n + (1)/(2))(lambda)/(2), n = 0, 1, 2 …..`

Text Solution

Verified by Experts

The correct Answer is:
4
`Y = A sin (omegat - kx) + A sin(omegat + kx)`
`Y = 2A sinomegat coskx` standing wave
For nodes `coskx = 0`
`(2pi)/(lambda).x = (2n + 1)(pi)/(2)`
`:. x = ((2n + 1)lambda)/(4), n = 0,1,2,3,….`
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