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A thin aluminum plate has a surface area of 1.500m at 20ºC. What will be...

Physics
JAMB 1985

A thin aluminum plate has a surface area of 1.500m at 20ºC. What will be its surface area when it is cooled to -20ºC? (Take the linear expansivity of aluminum to be 2.5 x 10-5k-1).

  • A. 1.503m2
  • B. 1.500m2
  • C. 1.498m2
  • D. 1.497m2
  • E. 1.490m2
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Correct Answer: Option D
Explanation

\(\beta\) = 2α

2 X2.5 x 10-5  = \(\frac{A_2 - 1.5}{1.5 \times (-20 -20)}\)

\(A_2 - 1.500\) = - 0.003m

\(A_2\) = - 0.003 + 1.500 = 1.497\(m^2\)


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