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Mechanical Properties Of Fluids

Question
CBSEENPH11018770

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#6 {main}</pre> . 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, 
straight A subscript ref equals fraction numerator 1.2 cross times 40 over denominator 100 end fraction equals 0.48 
We know that on reflection, the direction of propagation of wave reverses and on reflection from rigid wall, the phase changes by space straight pi. 
Therefore equation of reflected wave is, 
straight y equals 0.48 space sin open square brackets 120 πt minus 0.20 left parenthesis negative straight x right parenthesis plus straight pi close square brackets 
  equals 0.48 space sin open square brackets 120 πt plus 0.20 straight x plus straight pi close square brackets 
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#6 {main}</pre>