Question

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

Answer 1

The correct option is C 1 : 2

l= $\frac{FL}{AY}$

l= $\propto \frac{1}{r^2}$

$\frac{l_1}{l_2}=\frac{L_1}{L_2}\times \frac{r_2^2}{r_1^2}$

$or\frac{l_1}{l_2}=\frac{1}{2}$