## THERMAL PROPERTIES OF MATTER QUIZ-11

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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.

Q101. A cylinder of radius R made of a material of thermal conductivity K_1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity K_2. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is
•  K_1+K_2
•  (K_1 K_2)/(K_1+K_2 )
•  (K_1+3K_2)/4
•  (3K_1+K_2)/4
Solution

Q102. A vessel contains M grams of water at a certain temperature and water at certain other temperature is passed into it at a constant rate of mg/s. The variation of temperature of the mixture with time is shown in Figure. The value of M and m are, respectively (the heat exchanged after a long time is 800 cal)
•  40 & 2
•  40 & 4
•  20 & 4
•  20 & 2
Solution

Q103. Which of the following is the v_m-T graph for a perfectly black body?
•   A
•  B
•  C
•  D
Solution

Q104. A sphere and a cube of same material and same volume are heated up to same temperature and allowed to cool in the same surroundings. The ratio of the amounts of radiations emitted in equal time intervals will be
•  1:1
•  4Ï€/3:1
•  (Ï€/6)(1/3):1
•  1/2 (4Ï€/3)(2/3):1
Solution

Q105. A substance of mass m kg requires a power input of P watts to remain in the molten state at its melting point. When the power is turned off, the sample completely solidifies in time t sec. What is the latent heat of fusion of the substance
•  Pm/t
•  Pt/m
•  m/Pt
•  t/Pm
Solution

Q106. A 1 L glass flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. What is the volumes of mercury in this flask if coefficient of linear expansion of glass is 9×10(-6)/°C while of valume expansion of mercury is 1.8×10(-4)/℃?
•  50 cc
•  100 cc
• 150 cc
•  200 cc
Solution

Q107. An iron rocket fragment initially at -100°C enters the earth’s atmosphere almost horizontally and quickly fuses completely friction. Specific heat of iron is 0.11 kcal/kg °C its melting point is 1535°C and the latent heat of fusion is 3 kcal/kg. The minimum velocity with which the fragment must have entered the atmosphere is
•  0.45 km/s
•  1.32 km/s
•  2.32 km/s
•  Zero
Solution

Q108. A cylindrical metal rod of length L_0 is shaped into a ring with a small gap as shown. On heating the system
•  x decreases, r and d
•  x and r increase, d decreases
•  x, r and d all increase
•  Data insufficient to arrive at a conclusion
Solution
108 (c) On heating the system; x,r and d all increase, since the expansion of isotropic solids is similar to true photographic enlargement

Q109. A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is
•  (2/3)T
•  (8/5)T
•  (3/5)T
•  >(3/2)T
Solution

Q110. The temperatures across two different slabs A and B are shown in the steady state (as shown in Figure). The ratio of thermal conductivities of A and B is

•  2:3
•  3:2
•  1:1
• 5:3>
Solution
110 (b)

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