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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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The radius of a metal sphere at room temperature, T{T} is R{R} and the co-efficient of linear expansion of metal is α\alpha. The sphere is heated a little by a temperature ΔT\Delta {T} so that its new temperature is T+ΔTT+\Delta T. The increase in the volume of the sphere is approximately
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Correct option: D
4πR3αΔT4 \pi R^3 \alpha \Delta T
Option D (4πR3αΔT4 \pi R^3 \alpha \Delta T) is correct because the increase in volume is directly proportional to the original volume, the coefficient of linear expansion, and the change in temperature.

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