A wire of length \( 60 \mathrm{~cm} \) is bent into a circle with a...

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A wire of length \( 60 \mathrm{~cm} \) is bent into a circle with a gap of \( 1 \mathrm{~cm} \). At its ends, on heating it by \( 100^{\circ} \mathrm{C} \),
\( \mathrm{P} \) the length of the gap increases to \( 1.02 \mathrm{~cm} \) then \( \alpha \)

W of material of wire is:
(1) \( 2 \times 10^{-4} /{ }^{\circ} \mathrm{C} \)
(2) \( 4 \times 10^{-4} /{ }^{\circ} \mathrm{C} \)
(3) \( 6 \times 10^{-4} /{ }^{\circ} \mathrm{C} \)
(4) \( 1 \times 10^{-4} /{ }^{\circ} \mathrm{C} \)
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