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On loading a metal wire of cross section 10–6 m2 and length 2 m by a mass of 210 kg it extends by 16 mm and suddenly broke from the point of support. If density of that metal is 8000 kgm–3 and its specific heat is 420 Jkg–1K–1, the rise in temperature of wire is (g = 10 ms-2)

a
2.5 0C
b
5 0C
c
6 0C
d
10 0C

detailed solution

Correct option is A

Gravitational P.E. lost by the mass (M = 210 kg) = Mg.e 50% of this lost energy is converted into heat. so . where m = mass of wire.

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