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A standing wave is maintained in a homog...

A standing wave is maintained in a homogeneous string of corss-sectional area 'S' and density `phe`. It is formed by the superposition of two waves travelling in opposite directions given by the equation `y_(1)=asin(omegat=kx)andy_(2)=2asin(omegat+kx)`. The total mechanical energy confined between the sections corresponding to the abjacent antinodes is:

A

`(3pispomega^(2)a^(2))/(2k)`

B

`(pispomega^(2)a^(2))/(2k)`

C

`(5pispomega^(2)a^(2))/(2k)`

D

`(2pispomega^(2)a^(2))/(2k)`

Text Solution

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The correct Answer is:
C
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