Chemical Engineering Basics

Q1: 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

A 1:1

B 1:2

C 2:1

D 1:4

ANS:A - 1:1

The strain produced in a wire is directly proportional to the force applied and inversely proportional to the cross-sectional area of the wire. Since the wires in question have the same material and are stretched by the same force, the ratio of their strains will depend only on their lengths. Given that the lengths of the wires are in the ratio of 1:1, we can assume that the longer wire experiences twice the elongation compared to the shorter wire for the same force. Therefore, the ratio of their strains will also be in the ratio of 1:2. So, the correct answer is 1:1



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