(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 1 Thermal Properties of Matter: Thermometry, 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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1 Thermal Properties of Matter: Thermometry, Expansion and Calorimetry

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Thermal Expansion for Solid

When a meter rod made of silver at $0^{\circ} C$ is heated to $100^{\circ} C$,its length increases by $0.19 \ cm$. Find the coefficient of volume expansion of the silver.

MediumAP EAMCET 2021

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When a cylinder is heated,its length increases by $2\%$. What is the percentage increase in its surface area (in $\%$)?

Easy

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$A$ steel tape gives correct measurement at $20^{\circ} C$. $A$ piece of wood is being measured with the steel tape at $0^{\circ} C$. The reading is $25 \ cm$ on the tape. The real length of the given piece of wood must be:

Easy

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The coefficient of apparent expansion of mercury in a glass vessel is $153 \times 10^{-6} \, ^{\circ}C^{-1}$ and in a steel vessel is $144 \times 10^{-6} \, ^{\circ}C^{-1}$. If $\alpha$ for steel is $12 \times 10^{-6} \, ^{\circ}C^{-1}$,then that of glass is:

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The coefficient of volume expansion of a material is $5 \times 10^{-4} {^{\circ}C}^{-1}$. The fractional change in its density for a $40^{\circ}C$ rise in temperature is nearly.

EasyAP EAMCET 2022

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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

When a meter rod made of silver at $0^{\circ} C$ is heated to $100^{\circ} C$,its length increases by $0.19 \ cm$. Find the coefficient of volume expansion of the silver.

When a cylinder is heated,its length increases by $2\%$. What is the percentage increase in its surface area (in $\%$)?

$A$ steel tape gives correct measurement at $20^{\circ} C$. $A$ piece of wood is being measured with the steel tape at $0^{\circ} C$. The reading is $25 \ cm$ on the tape. The real length of the given piece of wood must be:

The coefficient of apparent expansion of mercury in a glass vessel is $153 \times 10^{-6} \, ^{\circ}C^{-1}$ and in a steel vessel is $144 \times 10^{-6} \, ^{\circ}C^{-1}$. If $\alpha$ for steel is $12 \times 10^{-6} \, ^{\circ}C^{-1}$,then that of glass is:

The coefficient of volume expansion of a material is $5 \times 10^{-4} {^{\circ}C}^{-1}$. The fractional change in its density for a $40^{\circ}C$ rise in temperature is nearly.

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