10-1.Thermometry, Thermal Expansion and Calorimetry
medium

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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