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THERMAL PROPERTIES OF MATTER QUIZ-2

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JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q11. 2 kg of ice at -20℃ is mixed with 5 kg of water at 20℃ in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1 kcal/kg/℃ and 0.5 kcal/kg/℃ while the latent heat of fusion of ice is 80 kcal kg(-1)
  •  7 kg
  •  6 kg
  •  4 kg
  •  2 kg
Solution


Q12. A ball of thermal capacity 10 cal/°C is heated to the temperature of furnace. It is then transferred into a vessel containing water. The water equivalent of vessel and the contents is 200 g. The temperature of the vessel and its contents rises from 10°C to 40°C. What is the temperature of furnace?
  •  640°C
  •  64°C
  •  600°C
  •  100°C
  • Solution


    Q13. Two liquids A and B are at 32°C and 24°C. When mixed in equal masses the temperature of the mixture is found to be 28°C. Their specific heats are in the ratio of
    •   3:2
    •  2:3
    •  1:1
    •  4:3
    Solution

    Q14. A system receives heat continuously at the rate of 10 W. The temperature of the system becomes constant at 70°C when the temperature of the surroundings is 30°C. After the heater is switched off, the system cools from 50℃ to 49.9°C in 1 min. The heat capacity of the system is
    •  1000 J/°C
    •  1500 J/°C
    •  3000 J/°C
    •  None of these
    Solution


    Q15. Water at 0°C, contained in a closed vessel, is abruptly opened in an evacuated chamber. If the specific latent heats of fusion and vapourization at 0°C are in the ratio λ:1, the fraction of water evaporated will be
    •  λ/1
    •  λ/(λ+1)
    •  (1-λ)/λ
    •  (λ-1)/(λ+1)
    Solution
     


    Q16. The rectangular surface of area 8 cm × 4 cm of a black body at a temperature of 127°C emits energy at the rate of E per second. If the length and breadth of the surface are each reduced to half of the initial value and the temperature is raised to 327°C, the rate of emission of energy will become
    •  3/8 E
    •  81/16 E
    • 9/16 E
    •  81/64 E
    Solution


    Q17. A piece of ice (heat capacity=2100JKg(-1)(-1) and latent heat=〖3.36×10〗5 Jkg(-1)) of mass m gram is at -5℃ at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1 g of ice has melted. Assuming there is no other heat exchange in the process, the value of m is
    •  8
    •  6
    •  4
    •  8.5
    Solution


    Q18. An aluminium measuring rod, which is correct at 5℃ measures the length of a line as 80 cm at 45° C. If thermal coefficient of linear expansion of aluminium is 2.50×10(-5)/°C, the correct length of the line is:
    •  80.08 cm
    •  79.92 cm
    •  81.12 cm
    •  79.62 cm
    Solution


    Q19. When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from 0.26 μm to 0.13 μm. The ratio of the emissive powers of the body at the respective temperatures is
    •  16/1
    •  4/1
    •  1/4
    •  1/16
    Solution


    Q20. A piece of metal weighs 46 g in air. When immersed in a liquid of specific gravity 1.24 at 27°C it weights 30 g. When the temperature of liquid is raised to 42°C the metal piece weight 30.5 g. Specific gravity of liquid at 42° C is 1.20. Calculate the coefficient of linear expansion of metal:
    •  2.23×10(-5)/°C
    •  6.7×10(-5)/°C
    •  4.46×10(-5)/°C
    • None of these
    Solution

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