(B) The initial volume of the cube is $V = L^3 = (1 \ m)^3 = 1 \ m^3$.The change in temperature is $\Delta T = 100^{\circ} C - 0^{\circ} C = 100^{\cir

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(B) The initial volume of the cube is $V = L^3 = (1 \ m)^3 = 1 \ m^3$.The change in temperature is $\Delta T = 100^{\circ} C - 0^{\circ} C = 100^{\circ} C$.The coefficient of volume expansion $\gamma$ is related to the coefficient of linear expansion $\alpha$ by $\gamma = 3\alpha$.Given $\alpha = 18 \times 10^{-6} /^{\circ} C$,we have $\gamma = 3 \times 18 \times 10^{-6} = 54 \times 10^{-6} /^{\circ} C$.The change in volume is given by $\Delta V = V \gamma \Delta T$.Substituting the values: $\Delta V = 1 \times (54 \times 10^{-6}) \times 100 = 54 \times 10^{-4} \ m^3$.

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

Medium

The side of a copper cube is $1 \ m$ at $0^{\circ} C$. What will be the change in its volume,when it is heated to $100^{\circ} C$? $[\alpha_{\text{copper}} = 18 \times 10^{-6} /^{\circ} C]$

MHT CET 2023 All MHT CET

A
$45 \times 10^{-4} \ m^3$
B
$54 \times 10^{-4} \ m^3$
C
$34 \times 10^{-4} \ m^3$
D
$64 \times 10^{-4} \ m^3$

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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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$A$ solid metallic cube having a total surface area of $24 \; m^{2}$ is uniformly heated. If its temperature is increased by $10 \; ^{\circ}C$,calculate the increase in volume of the cube. (Given: $\alpha = 5.0 \times 10^{-4} \; ^{\circ}C^{-1}$)

MediumJEE MAIN 2022

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The side of a copper cube is $1 \ m$ at $0^{\circ} C$. What will be the change in its volume,when it is heated to $100^{\circ} C$? $[\alpha_{\text{copper}} = 18 \times 10^{-6} /^{\circ} C]$

Similar Questions

$A$ 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:

$A$ hole is drilled in a copper sheet. The diameter of the hole is $4.24 \; cm$ at $27.0 \; ^{\circ}C$. What is the change in the diameter of the hole when the sheet is heated to $227 \; ^{\circ}C$? (Coefficient of linear expansion of copper $\alpha = 1.70 \times 10^{-5} \; K^{-1}$)

Two different wires having lengths $L_{1}$ and $L_{2}$ and respective temperature coefficients of linear expansion $\alpha_{1}$ and $\alpha_{2}$ are joined end-to-end. Then the effective temperature coefficient of linear expansion is

Two uniform brass rods $A$ and $B$ of length $l$ and $2l$ and their radii $2r$ and $r$ respectively are heated to the same temperature. The ratio of the increase in the volume of rod $A$ to that of rod $B$ is

$A$ solid metallic cube having a total surface area of $24 \; m^{2}$ is uniformly heated. If its temperature is increased by $10 \; ^{\circ}C$,calculate the increase in volume of the cube. (Given: $\alpha = 5.0 \times 10^{-4} \; ^{\circ}C^{-1}$)

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