Questions in Mechanical Properties of Solids

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A load W produces an extension of 1mm in a thread of radius r. Now if the load is made 4W and radius is made 2r all other things remaining same, the extension will become
The units of Young ‘s modulus of elasticity are
Two similar wires under the same load yield elongation of $0.1 mm$ and 0.05 mm respectively. If the area of cross- section of the first wire is $4m{{m}^{2}},$ then the area of cross section of the second wire is
A 5 m long aluminium wire ($Y=7\times {{10}^{10}}N/{{m}^{2}})$ of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire $(Y=12\times {{10}^{10}}N/{{m}^{2}})$ of the same length under the same weight, the diameter should now be, in mm.
How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm (Young’s modulus for brass = $0.9\times {{10}^{11}}N/{{m}^{2}}$)
On applying a stress of $20\times {{10}^{8}}$ N/${{m}^{2}}$ the length of a perfectly elastic wire is doubled. Its Young’s modulus will be
When a uniform wire of radius $r$ is stretched by a $2kg$ weight, the increase in its length is $2.00 mm$. If the radius of the wire is $r/2$ and other conditions remain the same, the increase in its length is
The length of an elastic string is $a$ metre when the longitudinal tension is $4 N$ and $b$ metre when the longitudinal tension is $5 N$. The length of the string in metre when the longitudinal tension is $9 N$ is
Stress to strain ratio is equivalent to
Which is correct relation

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