Questions in Mechanical Properties of Solids

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On increasing the length by $0.5 mm$ in a steel wire of length $2 m$ and area of cross-section $2\,m{{m}^{2}}$, the force required is [Y for steel $=2.2\times {{10}^{11}}\,N/{{m}^{2}}]$ ]
If Young's modulus of iron is $2\times {{10}^{11}}\,N/{{m}^{2}}$ and the interatomic spacing between two molecules is $3\times {{10}^{-10}}$ metre, the interatomic force constant is
In CGS system, the Young's modulus of a steel wire is $2\times {{10}^{12}}$. To double the length of a wire of unit cross-section area, the force required is
The material which practically does not show elastic after effect is
If the temperature increases, the modulus of elasticity
A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be
The relationship between Young's modulus $Y$, Bulk modulus $K$ and modulus of rigidity $\eta $ is
The diameter of a brass rod is 4 mm and Young's modulus of brass is $9\times {{10}^{10}}\,N/{{m}^{2}}$. The force required to stretch by 0.1% of its length is
If x longitudinal strain is produced in a wire of Young's modulus $y$, then energy stored in the material of the wire per unit volume is
In a wire of length $L$, the increase in its length is $l$. If the length is reduced to half, the increase in its length will be

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