(C) The change in length $\Delta L$ is given by the formula: $\Delta L = L_0 \alpha \Delta T$.Here,$L_0 = 10 \, cm$,$\alpha = 11 \times 10^{-6} /^{\ci

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$11 \times 10^{-5} \, cm$ shorter

(C) The change in length $\Delta L$ is given by the formula: $\Delta L = L_0 \alpha \Delta T$.Here,$L_0 = 10 \, cm$,$\alpha = 11 \times 10^{-6} /^{\circ}C$,and $\Delta T = 19^{\circ}C - 20^{\circ}C = -1^{\circ}C$.Substituting the values:$\Delta L = 10 \times (11 \times 10^{-6}) \times (-1) \, cm$.$\Delta L = -110 \times 10^{-6} \, cm = -1.1 \times 10^{-4} \, cm = -11 \times 10^{-5} \, cm$.The negative sign indicates that the bar becomes shorter.Therefore,the bar is $11 \times 10^{-5} \, cm$ shorter.

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

Medium

$A$ bar of iron is $10 \, cm$ at $20^{\circ}C$. At $19^{\circ}C$ it will be ($\alpha$ of iron $= 11 \times 10^{-6}/^{\circ}C$)

A
$11 \times 10^{-6} \, cm$ longer
B
$11 \times 10^{-6} \, cm$ shorter
C
$11 \times 10^{-5} \, cm$ shorter
D
$11 \times 10^{-4} \, cm$ shorter

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1 Thermal Properties of Matter: Thermometry, Expansion and Calorimetry

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Thermal Expansion for Solid

The temperature of a metal coin is increased by $100^{\circ} C$ and its diameter increases by $0.15 \%$. Its area increases by nearly (in $\%$)

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An iron bar of length $10\, m$ is heated from $0^{\circ}C$ to $100^{\circ}C$. If the coefficient of linear thermal expansion of iron is $10 \times 10^{-6} {^{\circ}C^{-1}}$,the increase in the length of the bar is .......... $cm$.

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$A$ rod of length $2 \ m$ rests on a smooth horizontal floor. If the rod is heated from $0^\circ C$ to $20^\circ C$, find the longitudinal thermal strain developed? $(\alpha = 5 \times 10^{-5} / ^\circ C)$

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$A$ solid ball of metal has a concentric spherical cavity within it. If the ball is heated,the volume of the cavity will

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$A$ bar of iron is $10 \, cm$ at $20^{\circ}C$. At $19^{\circ}C$ it will be ($\alpha$ of iron $= 11 \times 10^{-6}/^{\circ}C$)

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The temperature of a metal coin is increased by $100^{\circ} C$ and its diameter increases by $0.15 \%$. Its area increases by nearly (in $\%$)

$A$ pendulum clock keeps correct time at $0\,^{\circ}C$. The thermal coefficient of linear expansion of the material of the pendulum is $\alpha$. If the temperature rises to $t\,^{\circ}C$,then the clock loses per day by (in seconds):

An iron bar of length $10\, m$ is heated from $0^{\circ}C$ to $100^{\circ}C$. If the coefficient of linear thermal expansion of iron is $10 \times 10^{-6} {^{\circ}C^{-1}}$,the increase in the length of the bar is .......... $cm$.

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