(B) The thermal stress developed in a rod when its expansion is prevented is given by $\sigma = Y \alpha \Delta \theta$.Since stress $\sigma = F/A$,th

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(B) The thermal stress developed in a rod when its expansion is prevented is given by $\sigma = Y \alpha \Delta \theta$.Since stress $\sigma = F/A$,the force $F$ is given by $F = Y A \alpha \Delta \theta$.Given:$Y = 10^{11} \, N/m^2$$A = 1 \, cm^2 = 10^{-4} \, m^2$$\alpha = 10^{-5} /^\circ C$$\Delta \theta = 100 - 0 = 100^\circ C = 10^2 \, ^\circ C$Substituting these values into the formula:$F = 10^{11} \times 10^{-4} \times 10^{-5} \times 10^2$$F = 10^{11 - 4 - 5 + 2} = 10^4 \, N$.

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

Medium

The temperature of a wire of length $1 \, m$ and area of cross-section $1 \, cm^2$ is increased from $0^\circ C$ to $100^\circ C$. If the rod is not allowed to increase in length,the force required will be $(\alpha = 10^{-5} /^\circ C$ and $Y = 10^{11} \, N/m^2)$.

A
$10^3 \, N$
B
$10^4 \, N$
C
$10^5 \, N$
D
$10^9 \, N$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Thermal Expansion for Solid

What is thermal expansion? Write only its types.

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If the volume of a block of metal changes by $0.12\%$ when it is heated through $20\,^{\circ}C$,the coefficient of linear expansion (in $^{\circ}C^{-1}$) of the metal is

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Draw the graph of the coefficient of volume expansion $(\alpha_V)$ versus temperature $(T)$ for a solid.

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$A$ cuboid $ABCDEFGH$ is anisotropic with $\alpha_x = 1 \times 10^{-5} /^{\circ}C$,$\alpha_y = 2 \times 10^{-5} /^{\circ}C$,$\alpha_z = 3 \times 10^{-5} /^{\circ}C$. The coefficient of superficial expansion of the faces can be:

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$A$ pendulum clock loses $12 \ s$ a day if the temperature is $40^{\circ} C$ and gains $4 \ s$ a day if the temperature is $20^{\circ} C$. The temperature at which the clock will show the correct time is: (in $^{\circ} C$)

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The temperature of a wire of length $1 \, m$ and area of cross-section $1 \, cm^2$ is increased from $0^\circ C$ to $100^\circ C$. If the rod is not allowed to increase in length,the force required will be $(\alpha = 10^{-5} /^\circ C$ and $Y = 10^{11} \, N/m^2)$.

Similar Questions

What is thermal expansion? Write only its types.

If the volume of a block of metal changes by $0.12\%$ when it is heated through $20\,^{\circ}C$,the coefficient of linear expansion (in $^{\circ}C^{-1}$) of the metal is

Draw the graph of the coefficient of volume expansion $(\alpha_V)$ versus temperature $(T)$ for a solid.

$A$ cuboid $ABCDEFGH$ is anisotropic with $\alpha_x = 1 \times 10^{-5} /^{\circ}C$,$\alpha_y = 2 \times 10^{-5} /^{\circ}C$,$\alpha_z = 3 \times 10^{-5} /^{\circ}C$. The coefficient of superficial expansion of the faces can be:

$A$ pendulum clock loses $12 \ s$ a day if the temperature is $40^{\circ} C$ and gains $4 \ s$ a day if the temperature is $20^{\circ} C$. The temperature at which the clock will show the correct time is: (in $^{\circ} C$)

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