A solid material of volume 100 cm -3 is heated ... - WAEC Physics 1997 Question

A solid material of volume 100(cm^{-3}) is heated through a temperature difference of 40°C. Calculate the increase in the volume of the material if its linear expansitivity is 2 x (10^{-6}K{-1})

2.4 x\(10^{-2}cm^{-3}\)

1.6 x\(10^{-2}cm^{-3}\)

8 x\(10^{-2}cm^{-3}\)

5 x\(10^{-2}cm^{-3}\)

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Correct Option: A

(3{\alpha}= \frac{\Delta{V}}{V_1\Delta{T}}\Rightarrow \frac{\Delta{V}}{100\times40}=3\alpha, where, \alpha = 2 \times 10^{-6}\ \frac{\Delta{V}}{4000}=6\times10^{-6}\Rightarrow \Delta=4\times10^3\times6\times10^{-6}= 2.4\times10^{-2}cm^{-3})

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