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A circular metallic ring of radius $\mathrm{R}$ has a small gap of width $\mathrm{d}$. The coefficient of thermal expansion of the metal is $\alpha$ in appropriate units. If we increase the temperature of the ring by a amount $\Delta \mathrm{T}$, then width of the gap -
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Will increases by an amount $\mathrm{d} \alpha \Delta \mathrm{T}$
Will increases by an amount d $\alpha \Delta \mathrm{T}$
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