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10-1.Thermometry, Thermal Expansion and Calorimetry
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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 $1.6 \times$ $10^{-5} /{ }^{\circ}\,C$
A
$12$
B
$11$
C
$10$
D
$9$
(JEE MAIN-2023)
Solution
$d _0$ at $27^{\circ}\,C$ and $d _1$ at $177^{\circ}\,C$
$d _1= d _0(1+\alpha \Delta T )$
$d _1- d _0=5 \times 1.6 \times 10^{-5} \times 150\,cm$
$=12 \times 10^{-3}\,cm$
Standard 11
Physics
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