A rod, of length $L$ at room temperature and unıform area of cross section A, is made of a metal having coefficient of linear expansion $\alpha /{ }^{\circ} \mathrm{C}$. It is observed that an external compressive force $\mathrm{F}$, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta \mathrm{T} K$. Young’s modulus, $\mathrm{Y}$, for this metal is:

Question:

A rod, of length $L$ at room temperature and unıform area of cross section A, is made of a metal having coefficient of linear expansion $\alpha /{ }^{\circ} \mathrm{C}$. It is observed that an external compressive force $\mathrm{F}$, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta \mathrm{T} K$. Young’s modulus, $\mathrm{Y}$, for this metal is:

  1. $\frac{\mathrm{F}}{\mathrm{A} \alpha \Delta \mathrm{T}}$

  2. $\frac{\mathrm{F}}{\mathrm{A} \alpha(\Delta \mathrm{T}-273)}$

  3. $\frac{\mathrm{F}}{2 \mathrm{~A} \alpha \Delta \mathrm{T}}$

  4. $\frac{2 \mathrm{~F}}{\mathrm{~A} \alpha \Delta \mathrm{T}}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Termal Properties of Matter chapter.

JEE Main Previous Year 9 Jan. 2019 I


Correct Option: 1

Solution:

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