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Q.

Two wires of same length and material but with radii 0.1mm and 0.2mm are loaded with the same weight. Then

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a

Thin wire extends more

b

Thick wire extends more

c

None

d

Both undergo same extension

answer is B.

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Detailed Solution

$Y = \frac{F l}{A e} \Rightarrow Y = \frac{F l}{{πr}^{2} e} \Rightarrow e \propto \frac{1}{r^{2}}$ Thin wire elongates more

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Two wires of same length and material but with radii 0.1mm and 0.2mm are loaded with the same weight. Then