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A string of mass per unit length mu is c...

A string of mass per unit length `mu` is clamped at both ends such that one end of the string is at x = 0 and the other is at `x =l`. When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

A

`y=3sin((pix)/(L))sin((pi)/(L)vt)+2sin((2pix)/(L))sin((2pi)/(L)vt)`

B

`Y=3sin((pi)/(L))cos((pi)/(L)vt)+2sin((2pix)/(L))cos((2pi)/(L)vt)`

C

`y=3sin((pix)/(L))sin((2pi)/(L)vt)+2sin((2pix)/(L))sin((pi)/(L)vt)`

D

`y=3sin((pix)/(L))cos((2pi)/(L)vt)+2sin((2pix)/(L))cos((pi)/(L)vt)`

Text Solution

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The correct Answer is:
B
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