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

146573 A piece of metal weighs $34 \mathrm{~g}$ in air. When it is immersed in a liquid of specific gravity 1.24 at $27^{\circ} \mathrm{C}$, it weighs $32 \mathrm{~g}$. When the temperature of the liquid is raised to $42^{\circ} \mathrm{C}$, the metal piece weighs $31 \mathrm{~g}$. Specific gravity of the liquid at $42^{\circ}$ $C$ is 1.2. The coefficient of linear expansion of the metal is

1 $0.0122{ }^{0} \mathrm{C}^{-1}$
2 $0.00122^{0} \mathrm{C}^{-1}$
3 $0.122{ }^{\circ} \mathrm{C}^{-1}$
4 $0.000122{ }^{0} \mathrm{C}^{-1}$
Thermal Properties of Matter

146574 A sphere of surface area $4 \mathrm{~m}^{2}$ at temperature $400 \mathrm{~K}$ and having emissivity 0.5 is located in an environment of temperature $200 \mathrm{~K}$. The net rate of energy exchange of the sphere is (Stefan Boltzmann constant $\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-}$ ${ }^{2} \mathbf{K}^{4}$ )

1 $3260.8 \mathrm{~W}$
2 $1632.4 \mathrm{~W}$
3 $2721.6 \mathrm{~W}$
4 $4216.4 \mathrm{~W}$
Thermal Properties of Matter

146575 An iron sphere having diameter $D$ and mass $M$ is immersed in hot water so that the temperature of the sphere increases by $\delta T$. If $\alpha$ is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

1 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-4)$
2 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+4)$
3 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-2)$
4 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+2)$
Thermal Properties of Matter

146576 If we consider a rectangular sheet of the solid the coefficient of areal expansion is

1 Half of its coefficient of linear expansion
2 Thrice of its coefficient of linear expansion
3 Twice of its coefficient of linear expansion
4 Square root of tits coefficient of linear expansion
Thermal Properties of Matter

146573 A piece of metal weighs $34 \mathrm{~g}$ in air. When it is immersed in a liquid of specific gravity 1.24 at $27^{\circ} \mathrm{C}$, it weighs $32 \mathrm{~g}$. When the temperature of the liquid is raised to $42^{\circ} \mathrm{C}$, the metal piece weighs $31 \mathrm{~g}$. Specific gravity of the liquid at $42^{\circ}$ $C$ is 1.2. The coefficient of linear expansion of the metal is

1 $0.0122{ }^{0} \mathrm{C}^{-1}$
2 $0.00122^{0} \mathrm{C}^{-1}$
3 $0.122{ }^{\circ} \mathrm{C}^{-1}$
4 $0.000122{ }^{0} \mathrm{C}^{-1}$
Thermal Properties of Matter

146574 A sphere of surface area $4 \mathrm{~m}^{2}$ at temperature $400 \mathrm{~K}$ and having emissivity 0.5 is located in an environment of temperature $200 \mathrm{~K}$. The net rate of energy exchange of the sphere is (Stefan Boltzmann constant $\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-}$ ${ }^{2} \mathbf{K}^{4}$ )

1 $3260.8 \mathrm{~W}$
2 $1632.4 \mathrm{~W}$
3 $2721.6 \mathrm{~W}$
4 $4216.4 \mathrm{~W}$
Thermal Properties of Matter

146575 An iron sphere having diameter $D$ and mass $M$ is immersed in hot water so that the temperature of the sphere increases by $\delta T$. If $\alpha$ is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

1 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-4)$
2 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+4)$
3 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-2)$
4 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+2)$
Thermal Properties of Matter

146576 If we consider a rectangular sheet of the solid the coefficient of areal expansion is

1 Half of its coefficient of linear expansion
2 Thrice of its coefficient of linear expansion
3 Twice of its coefficient of linear expansion
4 Square root of tits coefficient of linear expansion
Thermal Properties of Matter

146573 A piece of metal weighs $34 \mathrm{~g}$ in air. When it is immersed in a liquid of specific gravity 1.24 at $27^{\circ} \mathrm{C}$, it weighs $32 \mathrm{~g}$. When the temperature of the liquid is raised to $42^{\circ} \mathrm{C}$, the metal piece weighs $31 \mathrm{~g}$. Specific gravity of the liquid at $42^{\circ}$ $C$ is 1.2. The coefficient of linear expansion of the metal is

1 $0.0122{ }^{0} \mathrm{C}^{-1}$
2 $0.00122^{0} \mathrm{C}^{-1}$
3 $0.122{ }^{\circ} \mathrm{C}^{-1}$
4 $0.000122{ }^{0} \mathrm{C}^{-1}$
Thermal Properties of Matter

146574 A sphere of surface area $4 \mathrm{~m}^{2}$ at temperature $400 \mathrm{~K}$ and having emissivity 0.5 is located in an environment of temperature $200 \mathrm{~K}$. The net rate of energy exchange of the sphere is (Stefan Boltzmann constant $\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-}$ ${ }^{2} \mathbf{K}^{4}$ )

1 $3260.8 \mathrm{~W}$
2 $1632.4 \mathrm{~W}$
3 $2721.6 \mathrm{~W}$
4 $4216.4 \mathrm{~W}$
Thermal Properties of Matter

146575 An iron sphere having diameter $D$ and mass $M$ is immersed in hot water so that the temperature of the sphere increases by $\delta T$. If $\alpha$ is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

1 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-4)$
2 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+4)$
3 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-2)$
4 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+2)$
Thermal Properties of Matter

146576 If we consider a rectangular sheet of the solid the coefficient of areal expansion is

1 Half of its coefficient of linear expansion
2 Thrice of its coefficient of linear expansion
3 Twice of its coefficient of linear expansion
4 Square root of tits coefficient of linear expansion
Thermal Properties of Matter

146573 A piece of metal weighs $34 \mathrm{~g}$ in air. When it is immersed in a liquid of specific gravity 1.24 at $27^{\circ} \mathrm{C}$, it weighs $32 \mathrm{~g}$. When the temperature of the liquid is raised to $42^{\circ} \mathrm{C}$, the metal piece weighs $31 \mathrm{~g}$. Specific gravity of the liquid at $42^{\circ}$ $C$ is 1.2. The coefficient of linear expansion of the metal is

1 $0.0122{ }^{0} \mathrm{C}^{-1}$
2 $0.00122^{0} \mathrm{C}^{-1}$
3 $0.122{ }^{\circ} \mathrm{C}^{-1}$
4 $0.000122{ }^{0} \mathrm{C}^{-1}$
Thermal Properties of Matter

146574 A sphere of surface area $4 \mathrm{~m}^{2}$ at temperature $400 \mathrm{~K}$ and having emissivity 0.5 is located in an environment of temperature $200 \mathrm{~K}$. The net rate of energy exchange of the sphere is (Stefan Boltzmann constant $\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-}$ ${ }^{2} \mathbf{K}^{4}$ )

1 $3260.8 \mathrm{~W}$
2 $1632.4 \mathrm{~W}$
3 $2721.6 \mathrm{~W}$
4 $4216.4 \mathrm{~W}$
Thermal Properties of Matter

146575 An iron sphere having diameter $D$ and mass $M$ is immersed in hot water so that the temperature of the sphere increases by $\delta T$. If $\alpha$ is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

1 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-4)$
2 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+4)$
3 $\pi \mathrm{D}^{2} . \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}-2)$
4 $\pi \mathrm{D}^{2} \cdot \alpha . \delta \mathrm{T}(\alpha . \delta \mathrm{T}+2)$
Thermal Properties of Matter

146576 If we consider a rectangular sheet of the solid the coefficient of areal expansion is

1 Half of its coefficient of linear expansion
2 Thrice of its coefficient of linear expansion
3 Twice of its coefficient of linear expansion
4 Square root of tits coefficient of linear expansion