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A metal wire of length L1 and area of cr...

A metal wire of length `L_1` and area of cross-section A is attached to a rigid support. Another metal wire of length `L_2` and of the same cross-sectional area is attached to free end of the first wire. A body of mass M is then suspended from the free end of the second wire. If `Y_1 and Y_2` are the Young's moduli of the wires respectively, the effective force constant of the system of two wire is

A

`[(Y_1Y_2)A]//[2(Y_1L_2+Y_2L_1)]`

B

`[(Y_1Y_2)A]//[(L_1L_2)]^(1//2)`

C

`[(Y_1Y_2)A]//[(Y_1L_2+Y_2L_1)]`

D

`(Y_1Y_2)^(1//2)A//(L_1L_2)^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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