Thermal Properties Of Matter Question 1
Question 1 - 24 January - Shift 1
A hole is drilled in a metal sheet. At $27^{\circ} C$, the diameter of hole is $5 cm$. When the sheet is heated to $177^{\circ} C$, the change in the diameter of hole is $d \times$ $10^{-3} cm$. The value of $d$ will be if coefficient of linear expansion of the metal is $1.6 \times$ $10^{-5} /{ }^{\circ} C$.
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Answer: (12)
Solution:
$d_0$ at $27^{\circ} C \& d_1$ at $177^{\circ} C$
$d_1=d_0(1+\alpha \Delta T)$
$d_1-d_0=5 \times 1.6 \times 10^{-5} \times 150 cm$
$=12 \times 10^{-3} cm$
