An iron tyre is to be fitted onto a wooden wheel 1.0 metre in diameter. The diameter of the time is 6 mm smaller than of the wheel. The tyre should be heated so that its temperature increases by a minimum of (coefficient of volume expansion of iron is 3 .6 x 10-5 per degree C)

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167°C

334°C

500°C

1000°C

answer is C.

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Detailed Solution

α=γ/3 =3⋅6×10−53=1⋅2×10−5/∘C ΔD=d0αt or 6mm=1⋅0 metre ×1⋅2×10−5/∘C×t or 6×10−3=1⋅0×1⋅2×10−5×t or t=500∘C

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