The coefficient of area expansion $$\beta$$ of a rectangular sheet of a solid in terms of the coefficient of linear expansion $$\alpha$$ is:
1. $$2\alpha$$
2. $$\alpha$$
3. $$3\alpha$$
4. $$\alpha^2$$

Subtopic:  Thermal Expansion |
90%
From NCERT
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A blacksmith fixes an iron ring on the rim of the wooden wheel of a horse cart. The diameter of the rim and the iron ring are 5.012 m and 5.00 m, respectively at 27 °C. To what temperature should the ring be heated so as to fit the rim of the wheel?

(Given: )

1.

2.

3.

4.

Subtopic:  Thermal Expansion |
63%
From NCERT
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A sphere of 0.047 kg aluminium is placed for sufficient time in a vessel containing boiling water so that the sphere is at 100 °C. It is then immediately transferred to a 0.14 kg copper calorimeter containing 0.25 kg water at 20 °C. The temperature of water rises and attains a steady-state at 23 °C. The specific heat capacity of aluminium is:

(Given that: Specific heat capacity of copper calorimeter =  and

the specific heat capacity of water )

1.

2.

3.

4.

Subtopic:  Calorimetry |
From NCERT
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When $$0.15$$ kg of ice at $$0^\circ \text{C}$$ is mixed with $$0.30$$ kg of water at $$50^\circ \text{C}$$ in a container, the resulting temperature is $$6.7^\circ \text{C}.$$
The heat of fusion of ice is: ($$S_{\text{water}}=4186$$ J kg-1 K-1)
1. $$3.43 \times 10^4$$ Jkg-1
2. $$3.34 \times 10^4$$ Jkg-1
3. $$3.34 \times 10^5$$ Jkg-1
4. $$4.34 \times 10^5$$ Jkg-1

Subtopic:  Calorimetry |
57%
From NCERT
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The heat required to convert 3 kg of ice at –12 °C kept in a calorimeter to steam at 100 °C at atmospheric pressure is:

(Given, the specific heat capacity of ice = , the specific heat capacity of water = , the latent heat of fusion of ice =
and the latent heat of steam = .)

1.

2.

3.

4.

Subtopic:  Calorimetry |
62%
From NCERT
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What is the temperature of the steel-copper junction in the steady-state of the system shown in the figure?

The length of the steel rod = 15.0 cm, length of the copper rod = 10.0 cm, temperature of the furnace = 300 °C, temperature of the other end = 0 °C. The area of the cross section of the steel rod is twice that of the copper rod.

(Thermal conductivity of steel = ; and of copper = ).

1.

2.

3.

4.

Subtopic:  Conduction |
57%
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An iron bar  and a brass bar are soldered end to end as shown in the figure. The free ends of the iron bar and brass bar are maintained at 373 K and 273 K respectively. The temperature of the junction of the two bars is:

1.

2.

3.

4.

Subtopic:  Conduction |
78%
From NCERT
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A pan filled with hot food cools in 2 minutes from $$94^{\circ}\mathrm{C}$$ to $$86^{\circ}\mathrm{C}$$ when the room temperature is $$20^{\circ}\mathrm{C}$$. How long will it take to cool from $$71^{\circ}\mathrm{C}$$ to $$69^{\circ}\mathrm{C}$$?

 1 50 sec 2 52 sec 3 42 sec 4 48 sec

Subtopic:  Newton's Law of Cooling |
78%
From NCERT
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An iron bar  and a brass bar  are soldered end to end as shown in the figure. The free ends of the iron bar and brass bar are maintained at 373 K and 273 K respectively and the  The equivalent thermal conductivity of the compound bar is:

1.

2.

3.

4.

Subtopic:  Conduction |
62%
From NCERT
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An iron bar  and a brass bar  are soldered end to end as shown in the figure. The free ends of the iron bar and brass bar are maintained at 373 K and 273 K respectively. The heat current through the compound bar is:

1.

2.

3.

4.

Subtopic:  Conduction |
62%
From NCERT
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