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

146499 A silver wire has temperature coefficient of resistivity $4 \times 10^{-3} /{ }^{\circ} \mathrm{C}$ and its resistance at $20^{\circ} \mathrm{C}$ is $10 \Omega$. Neglecting any change in dimensions due to the change in temperature, its resistance at $40{ }^{\circ} \mathrm{C}$ is

1 $0.8 \Omega$
2 $1.8 \Omega$
3 $9.2 \Omega$
4 $10.8 \Omega$
5 $11.6 \Omega$
Thermal Properties of Matter

146500 A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{\circ} \mathrm{C}$. How much heat is added approximately to helium during expansion?

1 $4000 \mathrm{~J}$
2 $3000 \mathrm{~J}$
3 $3500 \mathrm{~J}$
4 $4500 \mathrm{~J}$
5 $5000 \mathrm{~J}$
Thermal Properties of Matter

146501 The resistance of a wire at room temperature $30^{\circ} \mathrm{C}$ is found to be $10 \Omega$. Now to increase the resistance by $10 \%$, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $\left.0.002 /{ }^{\circ} \mathrm{C}\right]$

1 $36^{\circ} \mathrm{C}$
2 $83^{\circ} \mathrm{C}$
3 $63^{\circ} \mathrm{C}$
4 $33^{\circ} \mathrm{C}$
5 $66^{\circ} \mathrm{C}$
Thermal Properties of Matter

146502 The volume of a metal sphere increases by $0.24 \%$ when its temperature is raised by $40^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is... $/{ }^{\circ} \mathrm{C}$.

1 $2 \times 10^{-5}$
2 $6 \times 10^{-5}$
3 $18 \times 10^{-5}$
4 $1.2 \times 10^{-5}$
5 $2.1 \times 10^{-5}$
Thermal Properties of Matter

146503 One junction of a certain thermoelectric couple is at a fixed temperature $T_{r}$ and the other junction is at temperature $T$. The thermoelectromotive force for this is expressed by $E=$ $k\left(T-T_{r}\right)\left[T_{0}-\frac{1}{2}\left(T+T_{r}\right)\right]$. At temperature $T$ $=\frac{1}{2} T_{0}$, the thermoelectric power is

1 $\frac{1}{2} \mathrm{kT}_{0}$
2 $\mathrm{kT}_{0}$
3 $\frac{1}{2} \mathrm{kT}_{0}^{2}$
4 $\frac{1}{2} \mathrm{k}\left(\mathrm{T}_{0}-\mathrm{T}_{\mathrm{r}}\right)^{2}$
Thermal Properties of Matter

146499 A silver wire has temperature coefficient of resistivity $4 \times 10^{-3} /{ }^{\circ} \mathrm{C}$ and its resistance at $20^{\circ} \mathrm{C}$ is $10 \Omega$. Neglecting any change in dimensions due to the change in temperature, its resistance at $40{ }^{\circ} \mathrm{C}$ is

1 $0.8 \Omega$
2 $1.8 \Omega$
3 $9.2 \Omega$
4 $10.8 \Omega$
5 $11.6 \Omega$
Thermal Properties of Matter

146500 A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{\circ} \mathrm{C}$. How much heat is added approximately to helium during expansion?

1 $4000 \mathrm{~J}$
2 $3000 \mathrm{~J}$
3 $3500 \mathrm{~J}$
4 $4500 \mathrm{~J}$
5 $5000 \mathrm{~J}$
Thermal Properties of Matter

146501 The resistance of a wire at room temperature $30^{\circ} \mathrm{C}$ is found to be $10 \Omega$. Now to increase the resistance by $10 \%$, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $\left.0.002 /{ }^{\circ} \mathrm{C}\right]$

1 $36^{\circ} \mathrm{C}$
2 $83^{\circ} \mathrm{C}$
3 $63^{\circ} \mathrm{C}$
4 $33^{\circ} \mathrm{C}$
5 $66^{\circ} \mathrm{C}$
Thermal Properties of Matter

146502 The volume of a metal sphere increases by $0.24 \%$ when its temperature is raised by $40^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is... $/{ }^{\circ} \mathrm{C}$.

1 $2 \times 10^{-5}$
2 $6 \times 10^{-5}$
3 $18 \times 10^{-5}$
4 $1.2 \times 10^{-5}$
5 $2.1 \times 10^{-5}$
Thermal Properties of Matter

146503 One junction of a certain thermoelectric couple is at a fixed temperature $T_{r}$ and the other junction is at temperature $T$. The thermoelectromotive force for this is expressed by $E=$ $k\left(T-T_{r}\right)\left[T_{0}-\frac{1}{2}\left(T+T_{r}\right)\right]$. At temperature $T$ $=\frac{1}{2} T_{0}$, the thermoelectric power is

1 $\frac{1}{2} \mathrm{kT}_{0}$
2 $\mathrm{kT}_{0}$
3 $\frac{1}{2} \mathrm{kT}_{0}^{2}$
4 $\frac{1}{2} \mathrm{k}\left(\mathrm{T}_{0}-\mathrm{T}_{\mathrm{r}}\right)^{2}$
Thermal Properties of Matter

146499 A silver wire has temperature coefficient of resistivity $4 \times 10^{-3} /{ }^{\circ} \mathrm{C}$ and its resistance at $20^{\circ} \mathrm{C}$ is $10 \Omega$. Neglecting any change in dimensions due to the change in temperature, its resistance at $40{ }^{\circ} \mathrm{C}$ is

1 $0.8 \Omega$
2 $1.8 \Omega$
3 $9.2 \Omega$
4 $10.8 \Omega$
5 $11.6 \Omega$
Thermal Properties of Matter

146500 A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{\circ} \mathrm{C}$. How much heat is added approximately to helium during expansion?

1 $4000 \mathrm{~J}$
2 $3000 \mathrm{~J}$
3 $3500 \mathrm{~J}$
4 $4500 \mathrm{~J}$
5 $5000 \mathrm{~J}$
Thermal Properties of Matter

146501 The resistance of a wire at room temperature $30^{\circ} \mathrm{C}$ is found to be $10 \Omega$. Now to increase the resistance by $10 \%$, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $\left.0.002 /{ }^{\circ} \mathrm{C}\right]$

1 $36^{\circ} \mathrm{C}$
2 $83^{\circ} \mathrm{C}$
3 $63^{\circ} \mathrm{C}$
4 $33^{\circ} \mathrm{C}$
5 $66^{\circ} \mathrm{C}$
Thermal Properties of Matter

146502 The volume of a metal sphere increases by $0.24 \%$ when its temperature is raised by $40^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is... $/{ }^{\circ} \mathrm{C}$.

1 $2 \times 10^{-5}$
2 $6 \times 10^{-5}$
3 $18 \times 10^{-5}$
4 $1.2 \times 10^{-5}$
5 $2.1 \times 10^{-5}$
Thermal Properties of Matter

146503 One junction of a certain thermoelectric couple is at a fixed temperature $T_{r}$ and the other junction is at temperature $T$. The thermoelectromotive force for this is expressed by $E=$ $k\left(T-T_{r}\right)\left[T_{0}-\frac{1}{2}\left(T+T_{r}\right)\right]$. At temperature $T$ $=\frac{1}{2} T_{0}$, the thermoelectric power is

1 $\frac{1}{2} \mathrm{kT}_{0}$
2 $\mathrm{kT}_{0}$
3 $\frac{1}{2} \mathrm{kT}_{0}^{2}$
4 $\frac{1}{2} \mathrm{k}\left(\mathrm{T}_{0}-\mathrm{T}_{\mathrm{r}}\right)^{2}$
Thermal Properties of Matter

146499 A silver wire has temperature coefficient of resistivity $4 \times 10^{-3} /{ }^{\circ} \mathrm{C}$ and its resistance at $20^{\circ} \mathrm{C}$ is $10 \Omega$. Neglecting any change in dimensions due to the change in temperature, its resistance at $40{ }^{\circ} \mathrm{C}$ is

1 $0.8 \Omega$
2 $1.8 \Omega$
3 $9.2 \Omega$
4 $10.8 \Omega$
5 $11.6 \Omega$
Thermal Properties of Matter

146500 A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{\circ} \mathrm{C}$. How much heat is added approximately to helium during expansion?

1 $4000 \mathrm{~J}$
2 $3000 \mathrm{~J}$
3 $3500 \mathrm{~J}$
4 $4500 \mathrm{~J}$
5 $5000 \mathrm{~J}$
Thermal Properties of Matter

146501 The resistance of a wire at room temperature $30^{\circ} \mathrm{C}$ is found to be $10 \Omega$. Now to increase the resistance by $10 \%$, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $\left.0.002 /{ }^{\circ} \mathrm{C}\right]$

1 $36^{\circ} \mathrm{C}$
2 $83^{\circ} \mathrm{C}$
3 $63^{\circ} \mathrm{C}$
4 $33^{\circ} \mathrm{C}$
5 $66^{\circ} \mathrm{C}$
Thermal Properties of Matter

146502 The volume of a metal sphere increases by $0.24 \%$ when its temperature is raised by $40^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is... $/{ }^{\circ} \mathrm{C}$.

1 $2 \times 10^{-5}$
2 $6 \times 10^{-5}$
3 $18 \times 10^{-5}$
4 $1.2 \times 10^{-5}$
5 $2.1 \times 10^{-5}$
Thermal Properties of Matter

146503 One junction of a certain thermoelectric couple is at a fixed temperature $T_{r}$ and the other junction is at temperature $T$. The thermoelectromotive force for this is expressed by $E=$ $k\left(T-T_{r}\right)\left[T_{0}-\frac{1}{2}\left(T+T_{r}\right)\right]$. At temperature $T$ $=\frac{1}{2} T_{0}$, the thermoelectric power is

1 $\frac{1}{2} \mathrm{kT}_{0}$
2 $\mathrm{kT}_{0}$
3 $\frac{1}{2} \mathrm{kT}_{0}^{2}$
4 $\frac{1}{2} \mathrm{k}\left(\mathrm{T}_{0}-\mathrm{T}_{\mathrm{r}}\right)^{2}$
Thermal Properties of Matter

146499 A silver wire has temperature coefficient of resistivity $4 \times 10^{-3} /{ }^{\circ} \mathrm{C}$ and its resistance at $20^{\circ} \mathrm{C}$ is $10 \Omega$. Neglecting any change in dimensions due to the change in temperature, its resistance at $40{ }^{\circ} \mathrm{C}$ is

1 $0.8 \Omega$
2 $1.8 \Omega$
3 $9.2 \Omega$
4 $10.8 \Omega$
5 $11.6 \Omega$
Thermal Properties of Matter

146500 A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{\circ} \mathrm{C}$. How much heat is added approximately to helium during expansion?

1 $4000 \mathrm{~J}$
2 $3000 \mathrm{~J}$
3 $3500 \mathrm{~J}$
4 $4500 \mathrm{~J}$
5 $5000 \mathrm{~J}$
Thermal Properties of Matter

146501 The resistance of a wire at room temperature $30^{\circ} \mathrm{C}$ is found to be $10 \Omega$. Now to increase the resistance by $10 \%$, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $\left.0.002 /{ }^{\circ} \mathrm{C}\right]$

1 $36^{\circ} \mathrm{C}$
2 $83^{\circ} \mathrm{C}$
3 $63^{\circ} \mathrm{C}$
4 $33^{\circ} \mathrm{C}$
5 $66^{\circ} \mathrm{C}$
Thermal Properties of Matter

146502 The volume of a metal sphere increases by $0.24 \%$ when its temperature is raised by $40^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is... $/{ }^{\circ} \mathrm{C}$.

1 $2 \times 10^{-5}$
2 $6 \times 10^{-5}$
3 $18 \times 10^{-5}$
4 $1.2 \times 10^{-5}$
5 $2.1 \times 10^{-5}$
Thermal Properties of Matter

146503 One junction of a certain thermoelectric couple is at a fixed temperature $T_{r}$ and the other junction is at temperature $T$. The thermoelectromotive force for this is expressed by $E=$ $k\left(T-T_{r}\right)\left[T_{0}-\frac{1}{2}\left(T+T_{r}\right)\right]$. At temperature $T$ $=\frac{1}{2} T_{0}$, the thermoelectric power is

1 $\frac{1}{2} \mathrm{kT}_{0}$
2 $\mathrm{kT}_{0}$
3 $\frac{1}{2} \mathrm{kT}_{0}^{2}$
4 $\frac{1}{2} \mathrm{k}\left(\mathrm{T}_{0}-\mathrm{T}_{\mathrm{r}}\right)^{2}$