Two wires of the same material have lengths in the ratio 1 : 2 and radii are in the ratio 1 : √2. If they are stretched by applying equal forces, the increase in their lengths will be in the ratio
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a
1 : √2
b
√2 : 1
c
1 : 1
d
1 : 2
answer is C.
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Detailed Solution
Y=F/πr2e/Ie=FIπr2Ye1e2=I1I2r22r12=1221 (here Y and F are same)