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Q.

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 expandY=2×1011N/m2,α=15×10−6/0C

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a

9×107N/m2

b

4.5×107N/m2

c

5×107N/m2

d

3×107N/m2

answer is A.

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Detailed Solution

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