Questions in Mechanical Properties of Solids

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Coefficient of isothermal elasticity ${{E}_{\theta }}$ and coefficient of adiabatic elasticity ${{E}_{\varphi }}$are related by$(\gamma ={{C}_{p}}/{{C}_{v}})$
The bulk modulus of an ideal gas at constant temperature
The Bulk modulus for an incompressible liquid is
The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $
The pressure of a medium is changed from $1.01 \times 10^5$ Pa to $1.165 \times 10^5$ Pa and change in volume is $10%$ keeping temperature constant. The Bulk modulus of the medium is
For a constant hydraulic stress on an object, the fractional change in the object's volume$\left( \frac{\Delta V}{V} \right)$and its bulk modulus ($B$) are related as
Modulus of rigidity of diamond is
The ratio of lengths of two rods A and B of same material is $1 : 2$ and the ratio of their radii is $2 : 1$, then the ratio of modulus of rigidity of A and B will be
Which statement is true for a metal
Which of the following relations is true

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