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A uniformly tapering conical wire is mad...

A uniformly tapering conical wire is made from a material of Young's modulus `Y` and has a normal, unextended length `L`. The radii at the upper and lower ends of this conical wire, have values `R` and `3R`, respectively. The upper end of the wire is fixed to a rigid support and a mass `M` is suspended from its lower and. The equilibrium extended length, of this wire, would equal

A

` L ( 1+ (2)/( 9) ( Mg)/( pi gamma R^(2) ) )`

B

`L ( 1+ (1)/( 9) (Mg)/( pi gamma R^2) )`

C

`L ( 1+ (1)/(3) (Mg)/( pi gamma R^2) )`

D

`L ( 1 + (2)/(3) (Mg)/( pi gamma R^2) )`

Text Solution

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The correct Answer is:
C
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