Physics · 2017
JEE Main · 8 April 2017, Shift 1 · Q9
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by Δ T.…
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by $\displaystyle \Delta \mathrm{T}$. The net change in its length is zero. Let $\displaystyle l$ be the length of the rod, A its area of cross-section, Y its Young's modulus, and $\displaystyle \alpha$ its coefficient of linear expansion. Then, F is equal to :
Official answer
(3)
$\displaystyle \mathrm{A} \mathrm{Y} \alpha \Delta \mathrm{~T}$
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