Questions in Mechanical Properties of Solids

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Two wires A and B of same length and of the same material have the respective radii ${{r}_{1}}$ and ${{r}_{2}}$. Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be
When a spiral spring is stretched by suspending a load on it, the strain produced is called
The Young's modulus of the material of a wire is $6 imes {{10}^{12}}\,N/{{m}^{2}}$ and there is no transverse strain in it, then its modulus of rigidity will be
If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be
Modulus of rigidity of a liquid
For a given material, the Young's modulus is 2.4 times that of rigidity modulus. Its Poisson's ratio is
A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be
The reason for the change in shape of a regular body is
The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of 30° from its surface. The change will be of the type
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30°. Then angle of shear is

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