Questions in Mechanical Properties of Solids

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If the interatomic spacing in a steel wire is 3.0Å and ${{Y}_{steel}}$= $20\times {{10}^{10}}N/{{m}^{2}}$ then force constant is
A copper wire of length 4.0m and area of cross-section $1.2\,c{{m}^{2}}$ is stretched with a force of $4.8\times {{10}^{3}}$ N. If Young’s modulus for copper is $1.2\times {{10}^{11}}\,N/{{m}^{2}},$ the increase in the length of the wire will be
A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young’s modulus is Y and coefficient of linear expansion is $\alpha $. If the temperature of the rod is increased by $\Delta {{t}^{o}}C,$ the force exerted by the rod on the supports is
According to Hook’s law of elasticity, if stress is increased, the ratio of stress to strain
A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6 s. When some additional weights are added then time period is 0.7s. The extension caused by the additional weights is approximately given by
A uniform plank of Young’s modulus $Y$ is moved over a smooth horizontal surface by a constant horizontal force $F$. The area of cross section of the plank is $A$. The compressive strain on the plank in the direction of the force is
The mean distance between the atoms of iron is $3\times {{10}^{-10}}m$ and interatomic force constant for iron is $7\,N\,/m$The Young’s modulus of elasticity for iron is
Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio $1 : 2$ and diameters are in the ratio $2 : 1$ when stretched by force ${{F}_{A}}$ and ${{F}_{B}}$ respectively they get equal increase in their lengths. Then the ratio ${{F}_{A}}/{{F}_{B}}$ should be
The breaking stress of a wire depends upon
The area of cross section of a steel wire $(Y=2.0\times {{10}^{11}}N/{{m}^{2}})$is $0.1\ c{{m}^{2}}$. The force required to double its length will be

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