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A uniform pressure p is exerted on all s...

A uniform pressure p is exerted on all sides of a solid cube of a meterial at temprature `t^(@)C`. By what amount should the temperature of the cube be raised in order to bring its original volume back to the value it had before the pressure was applied ? K is the bulk modulus and `alpha` is the coefficient of linear expansion of material of solid cube.

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To solve the problem of determining the temperature increase required to restore the original volume of a solid cube after a uniform pressure is applied, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Relationship Between Pressure and Volume Change**: The bulk modulus (K) is defined as the ratio of pressure (P) to the relative change in volume (ΔV/V). Mathematically, this is expressed as: \[ K = -\frac{P}{\frac{\Delta V}{V}} ...
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