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

146586 A metal rod of length $L$ and cross-sectional area $A$ is heated through $T^{\circ} \mathrm{C}$. What is the force required to prevent the expansion of rod length wise?

1 $\frac{Y A \alpha T}{(1-\alpha T)}$
2 $\frac{\mathrm{YA} \alpha \mathrm{T}}{(1+\alpha \mathrm{T})}$
3 $\frac{(1-\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
4 $\frac{(1+\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
Shift-II]
Thermal Properties of Matter

146587 If two rods of lengths $L$ and $2 L$, having coefficients of linear expansion $\alpha$ and $2 \alpha$ respectively are connected end-to end, then find the average coefficient of linear expansion of the composite rod.

1 $\frac{3 \alpha}{2}$
2 $\frac{5 \alpha}{2}$
3 $\frac{5 \alpha}{4}$
4 $\frac{5 \alpha}{3}$
Shift-I]
Thermal Properties of Matter

146588 A solid floats in a liquid at $20{ }^{\circ} \mathrm{C}$ with $75 \%$ of its volume immersed in the liquid. When the liquid is heated to $t^{\circ} \mathrm{C} .80 \%$ of volume of the solid is immersed in the liquid. If the absolute expansion of the liquid is $8.33 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$ then the temperature ' $t$ ' is approximately (Expansion of solid is negligible)

1 $80^{\circ} \mathrm{C}$
2 $100^{\circ} \mathrm{C}$
3 $120^{\circ} \mathrm{C}$
4 $150^{\circ} \mathrm{C}$
Shift-II]
Thermal Properties of Matter

146589 Two closed containers of same dimensions made of different materials are completely filled with ice. The ice in the first container takes 20 minutes and that in the second container takes 10 minutes, respectively for complete melting. The ratio of the thermal conductivities of the materials of the two containers is

1 $1: 2$
2 $2: 1$
3 $3: 1$
4 $1: 3$
Shift-II]
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Thermal Properties of Matter

146586 A metal rod of length $L$ and cross-sectional area $A$ is heated through $T^{\circ} \mathrm{C}$. What is the force required to prevent the expansion of rod length wise?

1 $\frac{Y A \alpha T}{(1-\alpha T)}$
2 $\frac{\mathrm{YA} \alpha \mathrm{T}}{(1+\alpha \mathrm{T})}$
3 $\frac{(1-\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
4 $\frac{(1+\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
Shift-II]
Thermal Properties of Matter

146587 If two rods of lengths $L$ and $2 L$, having coefficients of linear expansion $\alpha$ and $2 \alpha$ respectively are connected end-to end, then find the average coefficient of linear expansion of the composite rod.

1 $\frac{3 \alpha}{2}$
2 $\frac{5 \alpha}{2}$
3 $\frac{5 \alpha}{4}$
4 $\frac{5 \alpha}{3}$
Shift-I]
Thermal Properties of Matter

146588 A solid floats in a liquid at $20{ }^{\circ} \mathrm{C}$ with $75 \%$ of its volume immersed in the liquid. When the liquid is heated to $t^{\circ} \mathrm{C} .80 \%$ of volume of the solid is immersed in the liquid. If the absolute expansion of the liquid is $8.33 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$ then the temperature ' $t$ ' is approximately (Expansion of solid is negligible)

1 $80^{\circ} \mathrm{C}$
2 $100^{\circ} \mathrm{C}$
3 $120^{\circ} \mathrm{C}$
4 $150^{\circ} \mathrm{C}$
Shift-II]
Thermal Properties of Matter

146589 Two closed containers of same dimensions made of different materials are completely filled with ice. The ice in the first container takes 20 minutes and that in the second container takes 10 minutes, respectively for complete melting. The ratio of the thermal conductivities of the materials of the two containers is

1 $1: 2$
2 $2: 1$
3 $3: 1$
4 $1: 3$
Shift-II]
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Thermal Properties of Matter

146586 A metal rod of length $L$ and cross-sectional area $A$ is heated through $T^{\circ} \mathrm{C}$. What is the force required to prevent the expansion of rod length wise?

1 $\frac{Y A \alpha T}{(1-\alpha T)}$
2 $\frac{\mathrm{YA} \alpha \mathrm{T}}{(1+\alpha \mathrm{T})}$
3 $\frac{(1-\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
4 $\frac{(1+\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
Shift-II]
Thermal Properties of Matter

146587 If two rods of lengths $L$ and $2 L$, having coefficients of linear expansion $\alpha$ and $2 \alpha$ respectively are connected end-to end, then find the average coefficient of linear expansion of the composite rod.

1 $\frac{3 \alpha}{2}$
2 $\frac{5 \alpha}{2}$
3 $\frac{5 \alpha}{4}$
4 $\frac{5 \alpha}{3}$
Shift-I]
Thermal Properties of Matter

146588 A solid floats in a liquid at $20{ }^{\circ} \mathrm{C}$ with $75 \%$ of its volume immersed in the liquid. When the liquid is heated to $t^{\circ} \mathrm{C} .80 \%$ of volume of the solid is immersed in the liquid. If the absolute expansion of the liquid is $8.33 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$ then the temperature ' $t$ ' is approximately (Expansion of solid is negligible)

1 $80^{\circ} \mathrm{C}$
2 $100^{\circ} \mathrm{C}$
3 $120^{\circ} \mathrm{C}$
4 $150^{\circ} \mathrm{C}$
Shift-II]
Thermal Properties of Matter

146589 Two closed containers of same dimensions made of different materials are completely filled with ice. The ice in the first container takes 20 minutes and that in the second container takes 10 minutes, respectively for complete melting. The ratio of the thermal conductivities of the materials of the two containers is

1 $1: 2$
2 $2: 1$
3 $3: 1$
4 $1: 3$
Shift-II]
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Thermal Properties of Matter

146586 A metal rod of length $L$ and cross-sectional area $A$ is heated through $T^{\circ} \mathrm{C}$. What is the force required to prevent the expansion of rod length wise?

1 $\frac{Y A \alpha T}{(1-\alpha T)}$
2 $\frac{\mathrm{YA} \alpha \mathrm{T}}{(1+\alpha \mathrm{T})}$
3 $\frac{(1-\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
4 $\frac{(1+\alpha T)}{\mathrm{YA} \alpha \mathrm{T}}$
Shift-II]
Thermal Properties of Matter

146587 If two rods of lengths $L$ and $2 L$, having coefficients of linear expansion $\alpha$ and $2 \alpha$ respectively are connected end-to end, then find the average coefficient of linear expansion of the composite rod.

1 $\frac{3 \alpha}{2}$
2 $\frac{5 \alpha}{2}$
3 $\frac{5 \alpha}{4}$
4 $\frac{5 \alpha}{3}$
Shift-I]
Thermal Properties of Matter

146588 A solid floats in a liquid at $20{ }^{\circ} \mathrm{C}$ with $75 \%$ of its volume immersed in the liquid. When the liquid is heated to $t^{\circ} \mathrm{C} .80 \%$ of volume of the solid is immersed in the liquid. If the absolute expansion of the liquid is $8.33 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$ then the temperature ' $t$ ' is approximately (Expansion of solid is negligible)

1 $80^{\circ} \mathrm{C}$
2 $100^{\circ} \mathrm{C}$
3 $120^{\circ} \mathrm{C}$
4 $150^{\circ} \mathrm{C}$
Shift-II]
Thermal Properties of Matter

146589 Two closed containers of same dimensions made of different materials are completely filled with ice. The ice in the first container takes 20 minutes and that in the second container takes 10 minutes, respectively for complete melting. The ratio of the thermal conductivities of the materials of the two containers is

1 $1: 2$
2 $2: 1$
3 $3: 1$
4 $1: 3$
Shift-II]