01. Thermal Expansion (Linear, Area and Volume Expansion)
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Thermal Properties of Matter

146538 A metal rod is heated to $\mathrm{t}^{0} \mathrm{C}$. A metal rod has length, area of cross-section, Young's modulus and coefficient of linear expansion as ' $L$ ', 'A', ' $Y$ ' and ' $\alpha$ ' respectively. When the rod is heated, the work performed is

1 $\frac{1}{2} \mathrm{YAL} \alpha^{2} \mathrm{t}^{2}$
2 $\frac{1}{2} \mathrm{YAL}^{2} \alpha^{2} \mathrm{t}^{2}$
3 $\frac{1}{2}$ YAL $\alpha \mathrm{t}$
4 YAL $\alpha$ t
MHT-CET 2020
Thermal Properties of Matter

146540 A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

1 It will bend towards the right
2 It will bend towards the left
3 It will not bend but shrink
4 It will neither bend not shrink
AIIMS-2006
Thermal Properties of Matter

146542 A metal ball initially at pressure of $10^{5} \mathrm{~Pa}$ is heated from $20^{\circ} \mathrm{C}$ to $127^{\circ} \mathrm{C}$ keeping its volume constant. The coefficient of linear expansion of metal is $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and bulk modulus of metal is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$. The pressure inside the ball becomes

1 $2 \times 10^{8} \mathrm{~Pa}$
2 $6 \times 10^{8} \mathrm{~Pa}$
3 $1 \times 10^{8} \mathrm{~Pa}$
4 $4 \times 10^{8} \mathrm{~Pa}$
Shift-II]
Thermal Properties of Matter

146544 The ratio of densities of a solid at $0^{\circ}$ and $500^{\circ} \mathrm{C}$ is 1.027 . The coefficient of linear expansion of the solid is

1 $1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
2 $1.8 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
3 $2.4 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
4 $3.0 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
Tripura-27.04.2022
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Thermal Properties of Matter

146538 A metal rod is heated to $\mathrm{t}^{0} \mathrm{C}$. A metal rod has length, area of cross-section, Young's modulus and coefficient of linear expansion as ' $L$ ', 'A', ' $Y$ ' and ' $\alpha$ ' respectively. When the rod is heated, the work performed is

1 $\frac{1}{2} \mathrm{YAL} \alpha^{2} \mathrm{t}^{2}$
2 $\frac{1}{2} \mathrm{YAL}^{2} \alpha^{2} \mathrm{t}^{2}$
3 $\frac{1}{2}$ YAL $\alpha \mathrm{t}$
4 YAL $\alpha$ t
MHT-CET 2020
Thermal Properties of Matter

146540 A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

1 It will bend towards the right
2 It will bend towards the left
3 It will not bend but shrink
4 It will neither bend not shrink
AIIMS-2006
Thermal Properties of Matter

146542 A metal ball initially at pressure of $10^{5} \mathrm{~Pa}$ is heated from $20^{\circ} \mathrm{C}$ to $127^{\circ} \mathrm{C}$ keeping its volume constant. The coefficient of linear expansion of metal is $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and bulk modulus of metal is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$. The pressure inside the ball becomes

1 $2 \times 10^{8} \mathrm{~Pa}$
2 $6 \times 10^{8} \mathrm{~Pa}$
3 $1 \times 10^{8} \mathrm{~Pa}$
4 $4 \times 10^{8} \mathrm{~Pa}$
Shift-II]
Thermal Properties of Matter

146544 The ratio of densities of a solid at $0^{\circ}$ and $500^{\circ} \mathrm{C}$ is 1.027 . The coefficient of linear expansion of the solid is

1 $1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
2 $1.8 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
3 $2.4 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
4 $3.0 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
Tripura-27.04.2022
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Thermal Properties of Matter

146538 A metal rod is heated to $\mathrm{t}^{0} \mathrm{C}$. A metal rod has length, area of cross-section, Young's modulus and coefficient of linear expansion as ' $L$ ', 'A', ' $Y$ ' and ' $\alpha$ ' respectively. When the rod is heated, the work performed is

1 $\frac{1}{2} \mathrm{YAL} \alpha^{2} \mathrm{t}^{2}$
2 $\frac{1}{2} \mathrm{YAL}^{2} \alpha^{2} \mathrm{t}^{2}$
3 $\frac{1}{2}$ YAL $\alpha \mathrm{t}$
4 YAL $\alpha$ t
MHT-CET 2020
Thermal Properties of Matter

146540 A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

1 It will bend towards the right
2 It will bend towards the left
3 It will not bend but shrink
4 It will neither bend not shrink
AIIMS-2006
Thermal Properties of Matter

146542 A metal ball initially at pressure of $10^{5} \mathrm{~Pa}$ is heated from $20^{\circ} \mathrm{C}$ to $127^{\circ} \mathrm{C}$ keeping its volume constant. The coefficient of linear expansion of metal is $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and bulk modulus of metal is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$. The pressure inside the ball becomes

1 $2 \times 10^{8} \mathrm{~Pa}$
2 $6 \times 10^{8} \mathrm{~Pa}$
3 $1 \times 10^{8} \mathrm{~Pa}$
4 $4 \times 10^{8} \mathrm{~Pa}$
Shift-II]
Thermal Properties of Matter

146544 The ratio of densities of a solid at $0^{\circ}$ and $500^{\circ} \mathrm{C}$ is 1.027 . The coefficient of linear expansion of the solid is

1 $1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
2 $1.8 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
3 $2.4 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
4 $3.0 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
Tripura-27.04.2022
Join With Us for More Updates
Thermal Properties of Matter

146538 A metal rod is heated to $\mathrm{t}^{0} \mathrm{C}$. A metal rod has length, area of cross-section, Young's modulus and coefficient of linear expansion as ' $L$ ', 'A', ' $Y$ ' and ' $\alpha$ ' respectively. When the rod is heated, the work performed is

1 $\frac{1}{2} \mathrm{YAL} \alpha^{2} \mathrm{t}^{2}$
2 $\frac{1}{2} \mathrm{YAL}^{2} \alpha^{2} \mathrm{t}^{2}$
3 $\frac{1}{2}$ YAL $\alpha \mathrm{t}$
4 YAL $\alpha$ t
MHT-CET 2020
Thermal Properties of Matter

146540 A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

1 It will bend towards the right
2 It will bend towards the left
3 It will not bend but shrink
4 It will neither bend not shrink
AIIMS-2006
Thermal Properties of Matter

146542 A metal ball initially at pressure of $10^{5} \mathrm{~Pa}$ is heated from $20^{\circ} \mathrm{C}$ to $127^{\circ} \mathrm{C}$ keeping its volume constant. The coefficient of linear expansion of metal is $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and bulk modulus of metal is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$. The pressure inside the ball becomes

1 $2 \times 10^{8} \mathrm{~Pa}$
2 $6 \times 10^{8} \mathrm{~Pa}$
3 $1 \times 10^{8} \mathrm{~Pa}$
4 $4 \times 10^{8} \mathrm{~Pa}$
Shift-II]
Thermal Properties of Matter

146544 The ratio of densities of a solid at $0^{\circ}$ and $500^{\circ} \mathrm{C}$ is 1.027 . The coefficient of linear expansion of the solid is

1 $1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
2 $1.8 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
3 $2.4 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
4 $3.0 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
Tripura-27.04.2022
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