﻿ Two wires P and Q of same length and material but radii in the ratio 2:1 are suspended from a rigid support. Find the ratio of strain produced in the wires when: (i) both are under same stress (ii) both are loaded by same weight. from Physics Mechanical Properties of Solids Class 11 Manipur Board

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Two wires P and Q of same length and material but radii in the ratio 2:1 are suspended from a rigid support. Find the ratio of strain produced in the wires when: (i) both are under same stress (ii) both are loaded by same weight.

Given the radii of two wires is of the ratio 2:1.
Using the formula as per Hooke's law,

i) When both the wires are under the same stress, strain produced will be the same.

ii) When both the wires are loaded by the same weight, then

$\frac{Strai{n}_{p}}{Strai{n}_{Q}}=\frac{\left({r}_{Q}{\right)}^{2}}{\left({r}_{P}{\right)}^{2}}=\frac{1}{4}$

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