In Fig., AB is a 2 m long rod of negligible weight. It is supported at the ends by wires X and Yofequal length. Young's modulus for wire X is `2 xx 10^(11) N//m^(2)` and its area of cross-section 3 `mm^(2)` . For wire Y, Young's modulus is `1.4 xx 10^(11)" N//m^(2)` and its area of cross-section is 6 `mm^(2)`. A mass M is suspended at any point along the rod.

Considering all possible positions of suspension of mass M along the rod

Options

A. restoring forces in wires X and Y are always equal
B. restoring forces in wires X and Y may be unequal
C. restoring force in wire X will be greater than the restoring force in wire Y
D. restoring force in wire Y will be greater than the restoring force in wire X

Answer

B