When the temperature of a copper coin is raised by 80oC, its diameter increases by 0.2%.

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When the temperature of a copper coin is raised by 80^oC, its diameter increases by 0.2%.

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percentage rise in the thickness is 0.4%

percentage rise in the area of a face is 0.4%

percentage rise in the volume is 0.6%

coefficient of linear expansion of copper is $0 .25 \times 10^{- 4} /^{\circ} C$

answer is A, C, D.

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Detailed Solution

$\frac{ΔA}{A} \times 100 = 2 (\frac{Δl}{A}) \times 100$

% increase in area $= 2 \times 0 .2 = 0 .4$

$\frac{ΔV}{V} \times 100 = 3 \times 0 .2 = 0 .6 %$

$\begin{array}{l} Since ΔI = IαΔT \\ \frac{Δl}{l} \times 100 = αΔT \times 100 = 0 .2 \\ α = \frac{Δl}{lΔT} = \frac{2 \times 10^{- 3}}{80} = 0 .25 \times 10^{- 4} /^{\circ} C \end{array}$

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