Questions in Mechanical Properties of Solids

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The temperature of a wire of length 1 metre and area of cross-section $1\,c{{m}^{2}}$ is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be $(\alpha ={{10}^{-5}}/{}^\circ C$ and $Y={{10}^{11}}\,N/{{m}^{2}})$
A rod of length $l$ and area of cross-section $A$ is heated from $0° C$ to $100° C$. The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to
An aluminum rod (Young's modulus $=7\times {{10}^{9}}\,N/{{m}^{2}})$ has a breaking strain of $0.2%$. The minimum cross-sectional area of the rod in order to support a load of ${{10}^{4}}$ Newton's is
Two wires of copper having the length in the ratio $4 : 1$ and their radii ratio as $1 : 4$ are stretched by the same force. The ratio of longitudinal strain in the two will be
A weight of $200 kg$ is suspended by vertical wire of length $600.5 cm$. The area of cross-section of wire is $1\,m{{m}^{2}}$. When the load is removed, the wire contracts by $0.5 cm$. The Young's modulus of the material of wire will be
If a load of 9 kg is suspended on a wire, the increase in length is $4.5 mm$. The force constant of the wire is
The ratio of diameters of two wires of same material is $n : 1$. The length of wires are $4 m$ each. On applying the same load, the increase in length of thin wire will be
Longitudinal stress of $1\,kg/m{{m}^{2}}$ is applied on a wire. The percentage increase in length is $(Y={{10}^{11}}\,N/{{m}^{2}})$
A steel wire is stretched with a definite load. If the Young's modulus of the wire is $Y$. For decreasing the value of $Y$
The interatomic distance for a metal is $3\times {{10}^{-10}}\,m$. If the interatomic force constant is $3.6\times {{10}^{-9}}\,N/{\AA}$, then the Young's modulus in $N/{{m}^{2}}$ will be

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