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A rod of length 2 m is at a temperature of 20°C . The free expansion of the rod is 0.9mm. If the temperature is increased to 50°C , the stress produced when the rod is fully prevented to expand

Y=2×1011N/m2,α=15×106/0C

a
9×107N/m2
b
4.5×107N/m2
c
5×107N/m2
d
3×107N/m2

detailed solution

Correct option is A

∴ Thermal stress = strain ×Y=Δll×Y=(αΔt)Y

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