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The linear expansivity of brass is 2 x 10 -5 oC... - JAMB Physics 2020 Question

The linear expansivity of brass is 2 x 10\(^{-5}\)  \(^oC^{-1}\). If the volume of piece of brass is 2 x 10cm\(^3\) at 0\(^o\)C. What will be its volume at 100\(^o\)C? 

A

10.06cm\(^3\)

B

10.04 cm\(^3\)

C

10.02 cm\(^3\)

D

10.06 cm\(^3\)

correct option: a

3 x \(\alpha\) = \(\frac{V_2 - V_1}{V_1 \times \Delta \theta}\)

3 x 2 x 10\(^{-5}\) = \(\frac{V_2 - 10}{100 \times 10}\) 

V\(_2\) = (100 x 10 x 3 x 2 10\(^{-2}\)) + 10

= 10.6 cm\(^3\)

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