The coefficient of area expansion ββ of a rectangular sheet of a solid in terms of the coefficient of linear expansion α is:
1. 2α
2. α
3. 3α
4. α2

Subtopic:  Thermal Expansion |
 90%
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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 27C. To what temperature should the ring be heated so as to fit the rim of the wheel?
(Given: α for iron=1.20×105 C1)
1. 128C
2. 118C
3. 227C
4. 218C

Subtopic:  Thermal Expansion |
 65%
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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 100C. It is then immediately transferred to a 0.14 kg copper calorimeter containing 0.25 kg water at 20C. The temperature of water rises and attains a steady-state at 23C. The specific heat capacity of aluminium is: 
(Given that: Specific heat capacity of copper calorimeter =0.386×103 J kg1K1 and the specific heat capacity of water sw=4.18×103 J kg1K1)
1. 1.811 kJ kg1K1
2. 1.911 kJ kg1K1
3. 0.811 kJ kg1K1
4. 0.911 kJ kg1K1

Subtopic:  Calorimetry |
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When 0.15 kg of ice at 0C is mixed with 0.30 kg of water at 50C in a container, the resulting temperature is 6.7C.
The heat of fusion of ice is: (Swater=4186 J kg–1 K–1)
1. 3.43×104 Jkg–1
2. 3.34×104 Jkg–1
3. 3.34×105 Jkg–1
4. 4.34×105 Jkg–1

Subtopic:  Calorimetry |
 58%
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The heat required to convert 3 kg of ice at 12C kept in a calorimeter to steam at 100C at atmospheric pressure is: (Given, the specific heat capacity of ice =2100 J kg1K1, the specific heat capacity of water =4186 J kg1K1, the latent heat of fusion of ice =3.35×105 J kg1
and the latent heat of steam =2.256×106 J kg1.)
1. 9.1×107 J 2. 8.1×106 J
3. 9.1×106 J 4. 8.1×107 J
Subtopic:  Calorimetry |
 63%
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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 = 300C, temperature of the other end = 0C. The area of the cross section of the steel rod is twice that of the copper rod. (Thermal conductivity of steel = 50.2 J s1m1K1; and of copper =385 J s1m1K1).

         
1. 44.4C
2. 44.4 K
3. 54.4C
4. 54.4 K

Subtopic:  Conduction |
 58%
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An iron bar
(L1=0.1m,A1=0.02 m2,K1=79 Wm1K1) and a brass bar
(L2=0.1 m,A2=0.02 m2,K2=109 Wm1K1) 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. 215 K 
2. 315 K 
3. 415 K 
4. 115 K

Subtopic:  Conduction |
 79%
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A pan filled with hot food cools in 2 minutes from 94C to 86C when the room temperature is 20C. How long will it take to cool from 71C to 69C?
1. 50 s
2. 52 s
3. 42 s
4. 48 s

Subtopic:  Newton's Law of Cooling |
 79%
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An iron bar K1=79 W m1K1 and a brass bar K2=109 W m1K1 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. Then the equivalent thermal conductivity of the compound bar is:

1. 94.6 W m1K1 2. 93.6 W m1K1
3. 81.6 W m1K1 4. 91.6 W m1K1
Subtopic:  Conduction |
 64%
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An iron bar (L1=0.1 m,A1=0.02 m2,K1=79 W m1K1) and a brass bar (L2=0.1 m,A2=0.02 m2,K2=109 W m1K1) 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. 916.1 W
2. 826.1 W
3. 926.1 W
4. 726 W

Subtopic:  Conduction |
 63%
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