Question

A light rod of length 2m suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from a light rod as shown in figure.

The rod hung by means of a steel wire of cross-sectional area A₁ = 0.1 cm² and brass wire of cross-sectional area A₂ = 0.2 cm². To have equal stress in both wires, T₁/T₂ = ______.

Options

• 1/3

• 1/4

• 4/3

• 1/2

Answer 1

The rod hung by means of a steel wire of cross-sectional area A₁ = 0.1 cm² and brass wire of cross-sectional area A₂ = 0.2 cm². To have equal stress in both wires, T₁/T₂ = 1/2.

Explanation:

For stress to be equal, `"T"_1/"A"_1="T"_2/"A"_2`

∴ `"T"_1/"T"_2="A"_1/"A"_2=1/2`