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A transverse wave travelling along the p...

A transverse wave travelling along the positive x-axis, given by `y=A sin (kx - omega t)` is superposed with another wave travelling along the negative x-axis given by `y=A sin (kx + omega t)`. The point `x=0` is

A

a node

B

an antinode

C

neither a node nor an antinode

D

a node or antinode depending on `t`

Text Solution

Verified by Experts

The correct Answer is:
B
At `x=0,y_(1) = A sin(-omega t)` and `y_(2) = -A sin omega t , y_(1)+y_(2) = -2A sin omega t` (antinode).
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Knowledge Check

  • The displacement of particle along the X-axis is given by x= a sin^(2) omega t . The motion of the particle corresponds to………..

    A
    Simple harmonic motion of frequency `(omega)/(pi)`
    B
    Simple harmonic motion of frequency `(3omega)/(2pi)`
    C
    Non-simple harmonic motion.
    D
    Simple harmonic motion of frequency `(omega)/(2pi)`

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