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

146603 A horizontal uniform tube, open at both ends is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If $\alpha$ is the coefficient of linear expansion of the material of the tube and $\gamma$ is the coefficient of volume expansion of the liquid, then

1 $\gamma=2 \alpha$
2 $\gamma=3 \alpha$
3 $\gamma=4 \alpha$
4 $\gamma=\alpha$
Thermal Properties of Matter

146604 What fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperatures?$\left(\alpha_{\text {glass }}=9 \times 10^{-6} /{ }^{\circ} \mathrm{C}, \gamma_{\mathrm{Hg}}=18.9 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)$

1 $\frac{1}{2}$
2 $\frac{1}{7}$
3 $\frac{1}{4}$
4 $\frac{1}{5}$
Thermal Properties of Matter

146605 Two uniform metal rods of lengths $l_{1}$ and $l_{2}$ and linear coefficients of expansion $\alpha_{1}$ and $\alpha_{2}$ respectively are connected to form a single red of length $\left(l_{1}+l_{2}\right)$. When the temperature of the combined rod is raised by $1^{\circ} \mathrm{C}$, the length of each rod increases by the same amount. Then $\left(\frac{\alpha_{2}}{\alpha_{1}+\alpha_{2}}\right)$ is :

1 $\frac{l_{1}}{\left(l_{1}+l_{2}\right)}$
2 $\frac{\left(l_{1}+l_{2}\right)}{l_{1}}$
3 $\frac{l_{2}}{\left(l_{1}+l_{2}\right)}$
4 $\frac{\left(l_{1}+l_{2}\right)}{l_{2}}$
Thermal Properties of Matter

146606 A thin brass sheet at $10^{\circ} \mathrm{C}$ and a thin steel sheet at $20^{\circ} \mathrm{C}$ have the same surface area. the common temperature at which both would have the same area is:
(Coefficients of linear expansion for brass and steel are respectively $19 \times 10^{-6} / 0 \mathrm{C}$ and $11 \times$ $10^{-6} /{ }^{0} \mathrm{C}$

1 $-3.75^{\circ} \mathrm{C}$
2 $-2.75^{\circ} \mathrm{C}$
3 $2.75^{\circ} \mathrm{C}$
4 $3.75^{\circ} \mathrm{C}$
Thermal Properties of Matter

146603 A horizontal uniform tube, open at both ends is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If $\alpha$ is the coefficient of linear expansion of the material of the tube and $\gamma$ is the coefficient of volume expansion of the liquid, then

1 $\gamma=2 \alpha$
2 $\gamma=3 \alpha$
3 $\gamma=4 \alpha$
4 $\gamma=\alpha$
Thermal Properties of Matter

146604 What fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperatures?$\left(\alpha_{\text {glass }}=9 \times 10^{-6} /{ }^{\circ} \mathrm{C}, \gamma_{\mathrm{Hg}}=18.9 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)$

1 $\frac{1}{2}$
2 $\frac{1}{7}$
3 $\frac{1}{4}$
4 $\frac{1}{5}$
Thermal Properties of Matter

146605 Two uniform metal rods of lengths $l_{1}$ and $l_{2}$ and linear coefficients of expansion $\alpha_{1}$ and $\alpha_{2}$ respectively are connected to form a single red of length $\left(l_{1}+l_{2}\right)$. When the temperature of the combined rod is raised by $1^{\circ} \mathrm{C}$, the length of each rod increases by the same amount. Then $\left(\frac{\alpha_{2}}{\alpha_{1}+\alpha_{2}}\right)$ is :

1 $\frac{l_{1}}{\left(l_{1}+l_{2}\right)}$
2 $\frac{\left(l_{1}+l_{2}\right)}{l_{1}}$
3 $\frac{l_{2}}{\left(l_{1}+l_{2}\right)}$
4 $\frac{\left(l_{1}+l_{2}\right)}{l_{2}}$
Thermal Properties of Matter

146606 A thin brass sheet at $10^{\circ} \mathrm{C}$ and a thin steel sheet at $20^{\circ} \mathrm{C}$ have the same surface area. the common temperature at which both would have the same area is:
(Coefficients of linear expansion for brass and steel are respectively $19 \times 10^{-6} / 0 \mathrm{C}$ and $11 \times$ $10^{-6} /{ }^{0} \mathrm{C}$

1 $-3.75^{\circ} \mathrm{C}$
2 $-2.75^{\circ} \mathrm{C}$
3 $2.75^{\circ} \mathrm{C}$
4 $3.75^{\circ} \mathrm{C}$
Thermal Properties of Matter

146603 A horizontal uniform tube, open at both ends is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If $\alpha$ is the coefficient of linear expansion of the material of the tube and $\gamma$ is the coefficient of volume expansion of the liquid, then

1 $\gamma=2 \alpha$
2 $\gamma=3 \alpha$
3 $\gamma=4 \alpha$
4 $\gamma=\alpha$
Thermal Properties of Matter

146604 What fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperatures?$\left(\alpha_{\text {glass }}=9 \times 10^{-6} /{ }^{\circ} \mathrm{C}, \gamma_{\mathrm{Hg}}=18.9 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)$

1 $\frac{1}{2}$
2 $\frac{1}{7}$
3 $\frac{1}{4}$
4 $\frac{1}{5}$
Thermal Properties of Matter

146605 Two uniform metal rods of lengths $l_{1}$ and $l_{2}$ and linear coefficients of expansion $\alpha_{1}$ and $\alpha_{2}$ respectively are connected to form a single red of length $\left(l_{1}+l_{2}\right)$. When the temperature of the combined rod is raised by $1^{\circ} \mathrm{C}$, the length of each rod increases by the same amount. Then $\left(\frac{\alpha_{2}}{\alpha_{1}+\alpha_{2}}\right)$ is :

1 $\frac{l_{1}}{\left(l_{1}+l_{2}\right)}$
2 $\frac{\left(l_{1}+l_{2}\right)}{l_{1}}$
3 $\frac{l_{2}}{\left(l_{1}+l_{2}\right)}$
4 $\frac{\left(l_{1}+l_{2}\right)}{l_{2}}$
Thermal Properties of Matter

146606 A thin brass sheet at $10^{\circ} \mathrm{C}$ and a thin steel sheet at $20^{\circ} \mathrm{C}$ have the same surface area. the common temperature at which both would have the same area is:
(Coefficients of linear expansion for brass and steel are respectively $19 \times 10^{-6} / 0 \mathrm{C}$ and $11 \times$ $10^{-6} /{ }^{0} \mathrm{C}$

1 $-3.75^{\circ} \mathrm{C}$
2 $-2.75^{\circ} \mathrm{C}$
3 $2.75^{\circ} \mathrm{C}$
4 $3.75^{\circ} \mathrm{C}$
Thermal Properties of Matter

146603 A horizontal uniform tube, open at both ends is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If $\alpha$ is the coefficient of linear expansion of the material of the tube and $\gamma$ is the coefficient of volume expansion of the liquid, then

1 $\gamma=2 \alpha$
2 $\gamma=3 \alpha$
3 $\gamma=4 \alpha$
4 $\gamma=\alpha$
Thermal Properties of Matter

146604 What fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperatures?$\left(\alpha_{\text {glass }}=9 \times 10^{-6} /{ }^{\circ} \mathrm{C}, \gamma_{\mathrm{Hg}}=18.9 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)$

1 $\frac{1}{2}$
2 $\frac{1}{7}$
3 $\frac{1}{4}$
4 $\frac{1}{5}$
Thermal Properties of Matter

146605 Two uniform metal rods of lengths $l_{1}$ and $l_{2}$ and linear coefficients of expansion $\alpha_{1}$ and $\alpha_{2}$ respectively are connected to form a single red of length $\left(l_{1}+l_{2}\right)$. When the temperature of the combined rod is raised by $1^{\circ} \mathrm{C}$, the length of each rod increases by the same amount. Then $\left(\frac{\alpha_{2}}{\alpha_{1}+\alpha_{2}}\right)$ is :

1 $\frac{l_{1}}{\left(l_{1}+l_{2}\right)}$
2 $\frac{\left(l_{1}+l_{2}\right)}{l_{1}}$
3 $\frac{l_{2}}{\left(l_{1}+l_{2}\right)}$
4 $\frac{\left(l_{1}+l_{2}\right)}{l_{2}}$
Thermal Properties of Matter

146606 A thin brass sheet at $10^{\circ} \mathrm{C}$ and a thin steel sheet at $20^{\circ} \mathrm{C}$ have the same surface area. the common temperature at which both would have the same area is:
(Coefficients of linear expansion for brass and steel are respectively $19 \times 10^{-6} / 0 \mathrm{C}$ and $11 \times$ $10^{-6} /{ }^{0} \mathrm{C}$

1 $-3.75^{\circ} \mathrm{C}$
2 $-2.75^{\circ} \mathrm{C}$
3 $2.75^{\circ} \mathrm{C}$
4 $3.75^{\circ} \mathrm{C}$