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A rectangular metal block of volume 10\(^{-6}\)m\(^3\) at 273k is heated to 573k. If its...

Physics
JAMB 1995

A rectangular metal block of volume 10\(^{-6}\)m\(^3\) at 273k is heated to 573k. If its coefficient of linear expansion is 1.2 x 10\(^{-5}\)k\(^{-1}\), the percentage change of it volume is

  • A. 1.5%
  • B. 1.1%
  • C. 0.4%
  • D. 0.1%
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Correct Answer: Option B
Explanation

Y = \(\frac{\Delta V}{V \times \Delta \theta}\)

3 x 10-5 x 1.2 = \(\frac{\Delta\ V}{10^{-6}\times\ (573 - 273)}\)

\(\Delta\)V = 1.080 x 10\(^{-7}\)m\(^3\)

%\(\Delta\)V = \(\frac{1.080 \times\ 10^{-7}}{10^{-6}}\) x 100

= 1.08%

\(\approx\) = 1.1%


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