JEE Main 2017 · 2 Apr · Shift 1 · Physics Q9

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PhysicsSingle correct+4 / -1Question 9 of 90

An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

\dfrac P{3\alpha K}

\dfrac P{\alpha K}

\dfrac{3\alpha}{PK}

3PK\alpha

Answer and worked solution

Official answer: A

The compression is $\dfrac{\Delta V}V=\dfrac PK$ . Heating expands the volume by $\gamma\Delta T=3\alpha\Delta T$ . Equating:
$\Delta T=\frac P{3\alpha K}.$

Topics:Thermal stress Temperature and thermal expansion

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JEE Main 2017 · 2 Apr · Shift 1, Physics question 9