Questions in Mechanical Properties of Solids

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The Young's modulus of a rubber string $8 cm$ long and density $1.5\,kg/{{m}^{3}}$ is $5\times {{10}^{8}}\,N/{{m}^{2}}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be
A and B are two wires. The radius of A is twice that of B. They are stretched by the some load. Then the stress on B is
If the length of a wire is reduced to half, then it can hold the ......... load
To double the length of a iron wire having $0.5\,c{{m}^{2}}$ area of cross-section, the required force will be $(Y={{10}^{12}}\,dyne/c{{m}^{2}})$
The spring balance does not read properly after its long use, because
Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is
Why the spring is made up of steel in comparison of copper
Steel and copper wires of same length are stretched by the same weight one after the other. Young's modulus of steel and copper are $2\times {{10}^{11}}\,N/{{m}^{2}}$ and $1.2\times {{10}^{11}}\,N/{{m}^{2}}$. The ratio of increase in length
An area of cross-section of rubber string is $2\,c{{m}^{2}}$. Its length is doubled when stretched with a linear force of $2\times {{10}^{5}}$dynes. The Young's modulus of the rubber in $dyne/c{{m}^{2}}$ will be
Increase in length of a wire is 1 mm when suspended by a weight. If the same weight is suspended on a wire of double its length and double its radius, the increase in length will be

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