JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
- JEE Mains 2017
- Hard
- MCQ
An external pressure \(P\) is applied on a cube at \(0^o C\) so that it is equally compressed from all sides. \(K\) is the bulk modulus of the material of the cube and a 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
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(\frac{P}{{3\alpha K}}\)
Step-by-step Solution
Detailed explanation
As we know , Bulk modulus
\(K = \frac{{\Delta P}}{{\left( {\frac{{ - \Delta V}}{V}} \right)}} \Rightarrow \frac{{\Delta V}}{V} = \frac{P}{K}\)
\(V = {V_0}\left( {1 + \gamma \Delta t} \right)\)
\(\frac{{\Delta V}}{{{V_0}}} = \gamma \Delta t\)
\(\therefore \frac{P}{K} = \gamma \Delta t \Rightarrow \Delta t = \frac{P}{{\gamma K}} = \frac{P}{{3\alpha K}}\)
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