Question
The displacement of particle in wave equation is represented as
. If this wave is made to incident on the rigid wall and its amplitude falls to 40% on reflection from wall, then what is the equation of reflected wave?
Solution
It is given that amplitude of reflected wave reduces to 40%.
Therefore, amplitude of reflected wave is,
We know that on reflection, the direction of propagation of wave reverses and on reflection from rigid wall, the phase changes by
Therefore equation of reflected wave is,
Therefore, amplitude of reflected wave is,

We know that on reflection, the direction of propagation of wave reverses and on reflection from rigid wall, the phase changes by

Therefore equation of reflected wave is,


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