Two wires of same material and radius have their lengths in ratio 1 : 2. If thes

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

Options:

A . 2 : 1

B . 1 : 1

C . 1 : 2

D . 1 : 4

Answer: Option C
:
C
l=

\frac{F L}{A Y}

\propto \frac{1}{r^{2}}

\frac{l_{1}}{l_{2}} = \frac{L_{1}}{L_{2}} \times \frac{r_{2}^{2}}{r_{1}^{2}}

o r \frac{l_{1}}{l_{2}} = \frac{1}{2}

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