Q. Two wires of same material and radius have their lengths in ratio 1:2. If these wires are stretched by the same force, the strain produced in the two wires will be in the ratio
A) 2:1
B) 1:1
C) 1:2
D) 1:4
Explanation
(c) $l = \frac{FL}{AY} \Longrightarrow l \propto \frac{L}{r_{2}} \Longrightarrow \frac{l_{1}}{l_{2}} = \frac{L_{1}}{L_{2}} \times \frac{r_{2}^{2}}{r_{1}^{2}}$
or $\frac{l_{1}}{l_{2}} = \frac{1}{2}$
Therefore, strain produced in the two wires will be in the ratio 1:2.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.