A heavy brass bar has projections at its ends as shown in the figure. Two find steel wires, fastened between the projections, are just taut (zero tension) when the whole systeam is at `0^(0)C`. What is the tensile stress in the steel wires when the temperature of the systeam is raised to `300^(0)C`?
Given that
`alpha_("brass") = 20 xx 10^(-6 ^(@))C^(-1)`
`alpha_("steel") = 12 xx 10^(-6@)C^(-1) Y_("steel") = 2 xx 10^(11) Nm^(-2)`

Options

A. `48 xx 10^(7) Nm^(-2)`
B. `84 xx 10^(7) Nm^(-2)`
C. `32 xx 10^(4) Nm^(-2)`
D. `24 xx 10^(4) Nm^(-2)`

Answer

A

Explanation

`T.S = y(alpha_(b) - alpha_(s)) xx DeltaT`