A hole is drilled in a metal sheet. At $\mathrm{27^\circ C}$, the diameter of hole is 5 cm. When the sheet is heated to $\mathrm{177^\circ C}$, the change in the diameter of hole is $\mathrm{d\times10^{-3}}$ cm. The value of d will be __________ if coefficient of linear expansion of the metal is $1.6\times10^{-5}/^\circ$C.
Answer (integer)
12
Solution
$\Delta D=D \alpha \Delta t$
<br/><br/>
$$
\begin{aligned}
& =5 \times 1.6 \times 10^{-5}(177-27) \\\\
& =0.012 \mathrm{~cm} \\\\
& =12 \times 10^{-3} \mathrm{~cm} \\\\
& \text { so, } d=12
\end{aligned}
$$
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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