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  • A uniform pressure P is exerted on all sides of a solid cube at temperature . By what amount sh

A uniform pressure P is exerted on all sides of a solid cube at temperature t^{\circ}C. By what amount should the temperature be raised  in order to bring the volume back to that it had been before the pressure was applied? {\alpha = linear expansivity , \beta= bulk modulus}
 

 

Option: 1

\frac{P\alpha }{\beta }


Option: 2

\frac{3P\alpha }{\beta }


Option: 3

\frac{P }{\alpha \beta }


Option: 4

\frac{P}{3\alpha \beta }


Answers (1)

best_answer

\\\left(\frac{\Delta v}{v}\right)_1=Y{\Delta t}=3 \alpha(\Delta t) \\ \\ \left(\frac{\Delta v}{v}\right)_2=\frac{p}{\beta}\ by\ (pressure)

\left(\frac{\Delta v}{v}\right)_1=\left(\frac{\Delta v}{v}\right)_2 \text { or } 3 \alpha(\Delta t)=\frac{p}{\beta}

\therefore \Delta t=\frac{p}{3 \alpha \beta}

Posted by

Ritika Harsh

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