question_answer

A uniformly tapering conical wire is made from a material of Youngs modulus V and has a normal, un extended 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 end. The equilibrium extended length, of this wire is\[L\left( 1+\frac{1}{x}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]The value of x is____.

Answer:

3