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Two wires of the same material have leng...

Two wires of the same material have lengths in the ratio `1:2` and diameters in the ratio `2:1` . If they are stretched by the same force, the ratio of their expansion will be

A

`1:8`

B

`8:1`

C

`4:1`

D

`1:4`

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio of the expansions (ΔL1/ΔL2) of two wires made of the same material, given their lengths and diameters. ### Step-by-Step Solution: 1. **Identify Given Ratios:** - Lengths of the wires: \( \frac{L_1}{L_2} = \frac{1}{2} \) - Diameters of the wires: \( \frac{d_1}{d_2} = \frac{2}{1} \) ...
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