Two wires of the same radius & material having length in the ratio of 1 : 2 are stretched by the same force. The strain produced in the two wires will be in the ratio of__________________?

Question

Accepted Answer

1 : 2. Strain (ε) is calculated as Force (F)/ (Area (A) * Young's Modulus (Y)). Since F and A are the same, strain is proportional to 1/Length (L). Thus, the ratio of strains is L2:L1 or 2:1. Wait, the question asks for the ratio of strains in the order given by the lengths 1:2. So, Strain1 : Strain2 = (1/L1) : (1/L2) = (1/1) : (1/2) = 2:1.