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A travelling wave y=A sin (kx- omega t +...

A travelling wave `y=A sin (kx- omega t +theta )` passes from a heavier string to a lighter string. The reflected wave has amplitude `0.5A` . The junction of the strings is at `x=0`. The equation fo the refelcted wave is `:`

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The correct Answer is:
D

As wave has been reflected from a rarer medium, therefore there is no change in phase.Hence equation for the opposite direction can be written as
`y = 0.5 A sin(-kx - omegat + theta)`
= - 0.5 A sin(kx + omegat - theta)`
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