(B) The change in temperature is $\Delta T = 230^{\circ} C - 30^{\circ} C = 200^{\circ} C$. When a metal sheet with a hole is heated,the hole expands

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(B) The change in temperature is $\Delta T = 230^{\circ} C - 30^{\circ} C = 200^{\circ} C$. When a metal sheet with a hole is heated,the hole expands just as if it were a solid piece of the same material. The formula for linear expansion is $L = L_0(1 + \alpha \Delta T)$. Substituting the given values: $L = 5 \times (1 + 2 \times 10^{-5} \times 200)$. $L = 5 \times (1 + 400 \times 10^{-5}) = 5 \times (1 + 0.004) = 5 \times 1.004 = 5.02 \ cm$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Thermal Expansion for Solid

Easy

$A$ hole of diameter $5 \ cm$ is drilled in a metal sheet at $30^{\circ} C$. The coefficient of linear expansion of the metal is $2 \times 10^{-5} K^{-1}$. The diameter of the hole when the temperature is raised to $230^{\circ} C$ is equal to: (in $cm$)

TS EAMCET 2022 All TS EAMCET

A
$5.01$
B
$5.02$
C
$5.03$
D
$5.04$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Thermal Expansion for Solid

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$A$ hole of diameter $5 \ cm$ is drilled in a metal sheet at $30^{\circ} C$. The coefficient of linear expansion of the metal is $2 \times 10^{-5} K^{-1}$. The diameter of the hole when the temperature is raised to $230^{\circ} C$ is equal to: (in $cm$)

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