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10-1.Thermometry, Thermal Expansion and Calorimetry
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A metal rod of Young's modulus $Y$ and coefficient of thermal expansion $\alpha$ is held at its two ends such that its length remains invariant. If its temperature is raised by $t^{\circ} C$, the linear stress developed in it is
A
$Y \alpha t$
B
$\frac{Y}{\alpha t}$
C
$\frac{\alpha t}{Y}$
D
$\frac{1}{ Y \alpha t }$
(AIEEE-2011)
Solution
$\Delta L =\alpha \cdot L \cdot \Delta T =\frac{ FL }{ AY }$
$\sigma=\frac{ F }{ A }= Y \alpha DT$
$\sigma= Y \alpha t$
Standard 11
Physics
