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A standing wave is maintained in a homog...

A standing wave is maintained in a homogeneous string of cross-sectional area s and density `rho` . It is formed by the superposition of two waves travelling in opposite directions given by the equation `y_1 = a sin (omega t - kx) " and " y_2 = 2a sin (omeg t + kx)`. The total mechanical energy confined between the sections corresponding to the adjacent antinodes is

A

`(3pi rho omega^(2)a^(2))/(2k)`

B

`(pisrho omega^(2) a^(2))/(2k)`

C

`(5pi rho omega^(2)a^(2))/(2k)`

D

`(2pis rho omega^(2)a^(2))/(2k)`

Text Solution

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The correct Answer is:
C
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