(A) First,we calculate the coefficient of linear expansion $(\alpha)$:$\alpha = \frac{\Delta L}{L_{0} \Delta \theta}$$\alpha = \frac{0.19 \; cm}{100 \

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$5.7 \times 10^{-5} /{ }^{\circ} C$

(A) First,we calculate the coefficient of linear expansion $(\alpha)$:$\alpha = \frac{\Delta L}{L_{0} \Delta \theta}$$\alpha = \frac{0.19 \; cm}{100 \; cm \times (100^{\circ} C - 0^{\circ} C)}$$\alpha = \frac{0.19}{100 \times 100} = \frac{0.19}{10000} = 1.9 \times 10^{-5} /{ }^{\circ} C$The coefficient of cubical expansion $(\gamma)$ is related to the coefficient of linear expansion by the formula $\gamma = 3\alpha$.$\gamma = 3 \times (1.9 \times 10^{-5} /{ }^{\circ} C)$$\gamma = 5.7 \times 10^{-5} /{ }^{\circ} C$

Class 11 Physics 1 Thermal Properties of Matter: Thermometry, Expansion and Calorimetry Thermal Expansion for Solid

Medium

$A$ silver rod of $100 \; cm$ at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length increases by $0.19 \; cm$. The coefficient of cubical expansion of the silver rod is:

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A
$5.7 \times 10^{-5} /{ }^{\circ} C$
B
$0.63 \times 10^{-5} /{ }^{\circ} C$
C
$1.9 \times 10^{-5} /{ }^{\circ} C$
D
$16.1 \times 10^{-5} /{ }^{\circ} C$

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1 Thermal Properties of Matter: Thermometry, Expansion and Calorimetry

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Thermal Expansion for Solid

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The coefficient of linear expansion of a crystal in one direction is ${\alpha _1}$ and that in every direction perpendicular to it is ${\alpha _2}$. The coefficient of cubical expansion is

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An equilateral triangle $ABC$ is formed by two copper rods $AB$ and $BC$ and one aluminium rod $AC$. The system is heated such that the temperature of each rod increases by $\Delta T$. Find the change in the angle $\angle ABC$. (Coefficient of linear expansion for copper is $\alpha_1$ and for aluminium is $\alpha_2$).

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In the figure, which strip, brass or steel, has a higher coefficient of linear expansion?

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Show that the coefficient of area expansion,$(\Delta A / A) / \Delta T,$ of a rectangular sheet of a solid is twice its linear expansivity,$\alpha_{l}$.

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$A$ steel scale measures the length of a copper wire as $80.0\,cm$ when both are at $20^\circ C$ (the calibration temperature for the scale). What would be the scale reading for the length of the wire when both are at $40^\circ C$ (in $,cm$)?

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$A$ silver rod of $100 \; cm$ at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length increases by $0.19 \; cm$. The coefficient of cubical expansion of the silver rod is:

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The coefficient of linear expansion of a crystal in one direction is ${\alpha _1}$ and that in every direction perpendicular to it is ${\alpha _2}$. The coefficient of cubical expansion is

In the figure, which strip, brass or steel, has a higher coefficient of linear expansion?

Show that the coefficient of area expansion,$(\Delta A / A) / \Delta T,$ of a rectangular sheet of a solid is twice its linear expansivity,$\alpha_{l}$.

$A$ steel scale measures the length of a copper wire as $80.0\,cm$ when both are at $20^\circ C$ (the calibration temperature for the scale). What would be the scale reading for the length of the wire when both are at $40^\circ C$ (in $,cm$)?

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