The temperature of equal masses of three different liquids A, B a

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 Multiple Choice QuestionsMultiple Choice Questions

31.

A partition wall has two layers of different
materials A and B in contact with each other.
They have the same thickness but the thermal conductivity of layer A is twice that of layer B. At steady state if the temperature difference across the layer B is 50 K, then the corresponding difference across the layer A is

  • 50 K

  • 12.5 K

  • 16.6 K

  • 60 K


32.

Hot water cools from 60°C to 50°C in the first 10 min and to 42°C in the next 10 min. The temperature of the surroundings is

  • 10°C

  • 5°C

  • 15°C

  • 20°C


33.

A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by 30°C. How much heat is added approximately to helium during expansion ?

  • 4000 J

  • 3000 J

  • 3500 J

  • 4500 J


34.

The plots of intensity of radiation versus wavelength of three black bodies at temperatures T1, T2 and T3 are shown. Then,

  • T3 > T2 > T1

  • T1 > T2 > T3

  • T2 > T3 > T1

  • T1 > T3 > T2


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35.

Three rods made of same material and having same cross-section are joined as shown in the figure. Each rod is of same length. The temperature at the junction of the three rods is

  • 45°C

  • 90°C

  • 60°C

  • 20°C


36.

On heating, the temperature at which water has minimum volume is

  • 0° C

  • 4° C

  • 4 K

  • 100° C


37.

The readings of a constant volume gas thermometer at 0°C and 100°C are 40 cm of mercury and 60 cm of mercury. If its reading at an unknown temperature is 100 cm of mercury column, then the temperature is 

  • 100°C

  • 50°C

  • 25°C

  • 300°C


38.

A 2 kg copper block is heated to 500°C and then it is placed on a large block of ice at 0°C. If the specific heat capacity of copper is 400 J kg-1°C-1 and latent heat of fusion of water is 3.5 x 105 J kg-1 the amount of ice that can melt is

  • 7/8 kg

  • 7/5 kg

  • 8/7 kg

  • 5/7 kg


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39.

The volume of a metal sphere increases by 0.24 % when its temperature is raised by 40°C. The coefficient of linear expansion of the metal is 

  • 2 × 10-5

  • 6 × 10-5

  • 18 × 10-5

  • 1.2 × 10-5


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40.

The temperature of equal masses of three different liquids A, B and C are 12°C, 19°C and 28°C respectively. The temperature when A and B are mixed is 16°C and when B and C are mixed is 23°C. The temperature when A and C are mixed is

  • 18.2°C

  • 22°C

  • 20.2°C

  • 24.2°C


C.

20.2°C

Ist case :msA t - tA = msB tB - tsA 16 - 12 = sB 19 - 16               4sA = 3sBIInd case : msB t - tB = msC tC - tsB 23 - 19 = sC 28 - 23                4sB = 5sC                3sB = 154 sC     4sA = 3sB = 154 sC 16sA = 12sB = 15sC = k          sA : sB : sC = 116 : 112 : 115                        sA = k16 , sC = k15 , sB = k12When Aand C are mixed,msA t - tA = msC tC - t k16 t - 12 = k15 28 - t    15t - 180 = 448 - 16t                31t = 628                t = 20.2°C


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