# The value of the coefficient of volume expansion of glycerin is $$5\times10^{-4}$$ K-1. The fractional change in the density of glycerin for a temperature increase of $$40^\circ \mathrm{C}$$ will be: 1. $$0.015$$ 2. $$0.020$$ 3. $$0.025$$ 4. $$0.010$$

Subtopic:  Thermal Expansion |
81%
From NCERT
NEET - 2015
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Steam at $$100^{\circ}\mathrm{C}$$ is injected into 20 g of $$10^{\circ}\mathrm{C}$$ water. When water acquires a temperature of $$80^{\circ}\mathrm{C}$$, the mass of water present will be: (Take specific heat of water =1 cal g-1 $$^\circ$$C-1 and latent heat of steam = 540 cal g-1)
1. 24 g
2. 31.5g
3. 42.5 g
4. 22.5 g

Subtopic:  Calorimetry |
71%
From NCERT
NEET - 2014
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The temperature of a body falls from $$50^{\circ}\mathrm{C}$$$\mathrm{}$ to $$40^{\circ}\mathrm{C}$$$\mathrm{}$ in 10 minutes. If the temperature of the surroundings is $$20^{\circ}\mathrm{C}$$$\mathrm{, t}$hen the temperature of the body after another 10 minutes will be:
1. $$36.6^{\circ}\mathrm{C}$$
2. $$33.3^{\circ}\mathrm{C}$$$\mathrm{}$
3. $$35^{\circ}\mathrm{C}$$
4. $$30^{\circ}\mathrm{C}$$$\mathrm{}$

Subtopic:  Newton's Law of Cooling |
78%
From NCERT
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Two rods (one semi-circular and the other straight) of the same material and of the same cross-sectional area are joined as shown in the figure. Points A and B are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of a straight rod at any given point in time will be:

1. 2: $\mathrm{\pi }$

2. 1: 2

3. $\mathrm{\pi }$: 2

4. 3: 2

Subtopic:  Conduction |
66%
From NCERT
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A wall is made up of two layers, A and B. The thickness of the two layers is the same, but the materials are different. The thermal conductivity of A is double that of B. If in thermal equilibrium, the temperature difference between the two ends is $$36^{\circ}\mathrm{C}$$$\mathrm{, t}$hen the difference in temperature between the two surfaces of A will be:
1. $$6^{\circ}\mathrm{C}$$$\mathrm{}$

2. $$12^{\circ}\mathrm{C}$$$\mathrm{}$

3. $$18^{\circ}\mathrm{C}$$$\mathrm{}$

4. $$24^{\circ}\mathrm{C}$$$\mathrm{}$

Subtopic:  Conduction |
59%
From NCERT
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The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively are ${\mathrm{T}}_{2}$ and ${\mathrm{T}}_{1}$ (${\mathrm{T}}_{2}$ > ${\mathrm{T}}_{1}$). The rate of heat transfer through the slab, in a steady state is $\left(\frac{\mathrm{A}\left({\mathrm{T}}_{2}-{\mathrm{T}}_{1}\right)\mathrm{K}}{\mathrm{x}}\right)\mathrm{f}$, with f which equals to:

1. 1

2. $\frac{1}{2}$

3. $\frac{2}{3}$

4. $\frac{1}{3}$

Subtopic:  Conduction |
54%
From NCERT
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The plots of intensity versus wavelength for three black bodies at temperatures ${\mathrm{T}}_{1}$${\mathrm{T}}_{2}$ and ${\mathrm{T}}_{3}$ respectively are as shown. Their temperatures are such that:

 1 $$\mathrm{T}_1>\mathrm{T}_2>\mathrm{T}_3$$ 2 $$\mathrm{T}_1>\mathrm{T}_3>\mathrm{T}_2$$ 3 $$\mathrm{T}_2>\mathrm{T}_3>\mathrm{T}_1$$ 4 $$\mathrm{T}_3>\mathrm{T}_2>\mathrm{T}_1$$
Subtopic:  Wien's Displacement Law |
63%
From NCERT
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Heat is flowing through a conductor of length l from x = 0 to x = l. If its thermal resistance per unit length is uniform, which of the subsequent graphs is accurate?

 1 2 3 4
Subtopic:  Conduction |
From NCERT
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The pressure applied from all directions on a cube is P. The volume elasticity of the cube is β and the coefficient of volume expansion is α. How much should its temperature be raised to maintain the original volume?

1. $\frac{P}{\alpha \beta }$

2. $\frac{P\alpha }{\beta }$

3. $\frac{P\beta }{\alpha }$

4. $\frac{\alpha \beta }{P}$

Subtopic:  Thermal Stress |
66%
From NCERT
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Two identical bodies are made of a material whose heat capacity increases with temperature. One of these is at ${}^{}$$$100^{\circ} \mathrm{C}$$, while the other one is at ${}^{}$$$0^{\circ} \mathrm{C}$$. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature will be:

 1 $$50^{\circ} \mathrm{C}$$ 2 more than $$50^{\circ} \mathrm{C}$$ 3 less than $$50^{\circ} \mathrm{C}$$ but greater than $$0^{\circ} \mathrm{C}$$ 4 $$0^{\circ} \mathrm{C}$$

Subtopic:  Calorimetry |
64%
From NCERT
NEET - 2016
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