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

146637 The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4} \mathrm{~K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ} \mathrm{C}$ in its temperature is

1 0.015
2 0.020
3 0.025
4 0.010
Thermal Properties of Matter

146638 The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_{1}$ and $\gamma_{2}$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is

1 $\frac{\alpha \gamma_{1} \gamma_{2}}{\gamma_{1}+\gamma_{2}}$
2 $\frac{\gamma_{1}-\gamma_{2}}{2 \alpha}$
3 $\frac{\gamma_{1}-\gamma_{2}+\alpha}{3}$
4 $\frac{\gamma_{1}-\gamma_{2}}{3}+\alpha$
Thermal Properties of Matter

146516 A metal bar of length $L$ and area of crosssection $A$ is clamped between two rigid supports. For the material of the rod, its Young's modulus is $Y$ and coefficient of linear expansion is $\alpha$. If the temperature of the rod is increased by $\Delta t^{0} \mathrm{C}$, the force exerted by the rod on the supports is

1 YAL $\Delta \mathrm{t}$
2 YAa $\Delta \mathrm{t}$
3 YLa $\Delta \mathrm{t} / \mathrm{A}$
4 $Y \alpha A L \Delta t$
Thermal Properties of Matter

146530 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because-

1 brass has a higher specific heat capacity than iron
2 density of brass is more than that of iron
3 it is easier to bend an iron strip than a brass strip of the same size
4 brass has a higher coefficient of linear expansion than iron
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Thermal Properties of Matter

146637 The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4} \mathrm{~K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ} \mathrm{C}$ in its temperature is

1 0.015
2 0.020
3 0.025
4 0.010
Thermal Properties of Matter

146638 The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_{1}$ and $\gamma_{2}$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is

1 $\frac{\alpha \gamma_{1} \gamma_{2}}{\gamma_{1}+\gamma_{2}}$
2 $\frac{\gamma_{1}-\gamma_{2}}{2 \alpha}$
3 $\frac{\gamma_{1}-\gamma_{2}+\alpha}{3}$
4 $\frac{\gamma_{1}-\gamma_{2}}{3}+\alpha$
Thermal Properties of Matter

146516 A metal bar of length $L$ and area of crosssection $A$ is clamped between two rigid supports. For the material of the rod, its Young's modulus is $Y$ and coefficient of linear expansion is $\alpha$. If the temperature of the rod is increased by $\Delta t^{0} \mathrm{C}$, the force exerted by the rod on the supports is

1 YAL $\Delta \mathrm{t}$
2 YAa $\Delta \mathrm{t}$
3 YLa $\Delta \mathrm{t} / \mathrm{A}$
4 $Y \alpha A L \Delta t$
Thermal Properties of Matter

146530 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because-

1 brass has a higher specific heat capacity than iron
2 density of brass is more than that of iron
3 it is easier to bend an iron strip than a brass strip of the same size
4 brass has a higher coefficient of linear expansion than iron
Thermal Properties of Matter

146637 The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4} \mathrm{~K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ} \mathrm{C}$ in its temperature is

1 0.015
2 0.020
3 0.025
4 0.010
Thermal Properties of Matter

146638 The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_{1}$ and $\gamma_{2}$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is

1 $\frac{\alpha \gamma_{1} \gamma_{2}}{\gamma_{1}+\gamma_{2}}$
2 $\frac{\gamma_{1}-\gamma_{2}}{2 \alpha}$
3 $\frac{\gamma_{1}-\gamma_{2}+\alpha}{3}$
4 $\frac{\gamma_{1}-\gamma_{2}}{3}+\alpha$
Thermal Properties of Matter

146516 A metal bar of length $L$ and area of crosssection $A$ is clamped between two rigid supports. For the material of the rod, its Young's modulus is $Y$ and coefficient of linear expansion is $\alpha$. If the temperature of the rod is increased by $\Delta t^{0} \mathrm{C}$, the force exerted by the rod on the supports is

1 YAL $\Delta \mathrm{t}$
2 YAa $\Delta \mathrm{t}$
3 YLa $\Delta \mathrm{t} / \mathrm{A}$
4 $Y \alpha A L \Delta t$
Thermal Properties of Matter

146530 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because-

1 brass has a higher specific heat capacity than iron
2 density of brass is more than that of iron
3 it is easier to bend an iron strip than a brass strip of the same size
4 brass has a higher coefficient of linear expansion than iron
Thermal Properties of Matter

146637 The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4} \mathrm{~K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ} \mathrm{C}$ in its temperature is

1 0.015
2 0.020
3 0.025
4 0.010
Thermal Properties of Matter

146638 The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_{1}$ and $\gamma_{2}$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is

1 $\frac{\alpha \gamma_{1} \gamma_{2}}{\gamma_{1}+\gamma_{2}}$
2 $\frac{\gamma_{1}-\gamma_{2}}{2 \alpha}$
3 $\frac{\gamma_{1}-\gamma_{2}+\alpha}{3}$
4 $\frac{\gamma_{1}-\gamma_{2}}{3}+\alpha$
Thermal Properties of Matter

146516 A metal bar of length $L$ and area of crosssection $A$ is clamped between two rigid supports. For the material of the rod, its Young's modulus is $Y$ and coefficient of linear expansion is $\alpha$. If the temperature of the rod is increased by $\Delta t^{0} \mathrm{C}$, the force exerted by the rod on the supports is

1 YAL $\Delta \mathrm{t}$
2 YAa $\Delta \mathrm{t}$
3 YLa $\Delta \mathrm{t} / \mathrm{A}$
4 $Y \alpha A L \Delta t$
Thermal Properties of Matter

146530 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because-

1 brass has a higher specific heat capacity than iron
2 density of brass is more than that of iron
3 it is easier to bend an iron strip than a brass strip of the same size
4 brass has a higher coefficient of linear expansion than iron