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Two wires of the same length but of diff...

Two wires of the same length but of difference materials have diameter of 1mm and 3mm respectively.IF both of them are stretched by the same force,then the elongation of the first wire becomes thrice that of the second. Compare their Young's modull.

Text Solution

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Let the initail length of each wire be L and the force applied on each on F.
`thereforeY=(FL)/(pir^2l)`
So,`Y_1/Y_2=(r_2/r_1)^2.l_2/l_1=(3/1)^2times1/2=3/1`
`thereforeY_1:Y_2=3:1`
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