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On loading a metal wire of cross section $10^{- 6} m^{2}$ and length 2m by a mass of 210 kg it extends by 16mm and suddenly broke from the point of support. If density of that metal is $8000 k g m^{- 3}$ and its specific heat is $420 J k g^{- 1} K^{- 1}$ the rise in temperature of wire is $(g = 10 m s^{- 2})$

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a

2.50C

b

50C

c

60C

d

100C

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detailed solution

Correct option is A

msΔT=12Fe ΔT=Fe2MS

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A metal bar of length L and area of cross-section A is rigidly clamped between two walls. The Young's modulus of its material is Y and the coefficient of linear expansion is $α$ . The bar is heated so that its temperature increases by $θ$ °C. Then the force exerted at the ends of the bar is given by

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