An aluminium rod of length 1 8m at 10 C is heat... - WAEC Physics 2016 Question
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
correct option: d
\(\alpha = \frac{L_2 - L_1}{L_1(\theta_2 - \theta_1)}\)
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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