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A metal rod (Y = 2 x 10¹² dyne/sq. cm) of coefficient of linear expansion 1.6 x 10^-5 per °C has its temperature raised by 20°C. The linear compressive stress to prevent the
expansion of the rod is:

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2.4 x 10⁸ dyne/sq. cm

3.2 x 10⁸dyne/sq. cm

6.4 x 10⁸ dyne/sq. cm

1.6 x 10⁸ dyne/sq. cm

answer is C.

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Detailed Solution

$Thermal stress = Yα ∆ θ = 2 \times 10^{12} \times 1.6 \times 10^{- 5} \times 20 = 6.4 \times 10^{8} dyne / {cm}^{2}$

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