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 the 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 Youngs moduli of the wires respectively, the effective force constant of the system of two wires is :
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$\mathrm{K}_{1}=\frac{\mathrm{Y}_{1} \mathrm{A}}{\mathrm{L}_{1}}, \mathrm{K}_{2}=\frac{\mathrm{Y}_{2} \mathrm{A}}{\mathrm{L}_{2}}$
$\mathrm{K}=\frac{\mathrm{K}_{1} \mathrm{K}_{2}}{\mathrm{K}_{1}+\mathrm{K}_{2}}$
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