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An aluminium rod of length 1.8m at 10°C is heated to proceed produce a difference...

Physics
WAEC 2016

An aluminium rod of length 1.8m at 10°C is heated to proceed produce a difference in length of 0.007m. Calculate the temperature to which it is heated. (Linear expansivity of aluminium = 2.3 x 10\(^{-5}\)K\(^{-1}\)

  • A. 155oC
  • B. 160oC
  • C. 169oC
  • D. 179oC
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Correct Answer: Option D
Explanation

\(\alpha = \frac{L_2 - L_1}{L_1(\theta_2 - \theta_1)}\)

L\(_2\) - L\(_1\) = \(\alpha L_1 (\theta_2 - \theta_1)\)

\(\theta_2 = \frac{0.007}{2.3 \times 10^{-5} \times 1.8}\) + 10

= 179°C


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