Thermal Properties of Matter-Quiz-3

 

THERMAL PROPERTIES OF MATTER QUIZ-3

Dear Readers,

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.

Q21. A kettle with 2 L water at 27°C is heated by operating coil heater of power 1 kW. The heat is lost to the atmosphere at constant rate 160 J/s, when it is open. In how much time will water be heated to 77°C (sp. heat of water = 4.2 kJ/kg) with the lid open?

•  8 min 20 s
•  6 min 2 s
•  14 min
•  7 min

Solution

22. The variation of lengths of two metal rods A and B with change in temperature is shown in Figure. The coefficients of linear expansion α_A for the metal A and the temperature T will be

(given α_B=9×10^(-6)/°C)

•  α_A=3×10^(-6)/°C, 500°C
•  α_A=3×1^(-6)/°C, 222.22°C
•  α_A=27×10^(-6)/°C,500°C
•  α_A=27×10^(-6)/°C, 222.22°C

Solution

Q23. A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is U_1, between 999 nm and 1000 nm is U_2 and between 1499 nm and 1500 nm is U_3. Wien’s constant b=2.88×10⁶nm –K, Thenf

•   U_1=0
•  U_2=0
•  U_1=U_2
•  U_2>U_1

Solution

Q24. Three liquids with masses m_1,m_2,m_3 are thoroughly mixed. If their specific heats are c_1,c_2,c_3 and their temperatures T_1,T_2,T_3, respectively, then the temperature of the mixture is

•  (c1T1 + c2T2 + c3T3)/(m1c1 + m2c2 + m3c3 )
•  (m1c1T1 + m2c2T2 + m3c3T3 )/(m1c1 + m2c2 + m3c3 )
•  (m1c1T1 + m2c2T2 + m3c3T3)/(m1T1 + m2T2 + m3T3 )
•  (m1T1 + m2T2 + m3T3)/(c1T1 + c2T2 + c3T3 )

Solution

Q25. An iron rod and another of brass, both at 27°C differ in length by 10^(-3)m. The coefficient of linear expansion for iron is 1.1×10^(-5)/°C and for brass is 1.9×10^(-5)/°C. The temperature at which both these rods will have the same length is

•  0°C
•  152°C
•  175°C
•  Data is insufficient

Solution
 

Q26. The densities of wood and benzene at 0°C are 880 kg/m³ and 900 kg/m³, respectively. The coefficient of volume of volume expansion of wood is 1.2×10^(-3)/°C and of benzene 1.5×10^(-3)/°C. The temperature at which a piece of this wood would just sink in benzene at the same temperature is

•  53°C
•  63°C
• 73°C
•  83°C

Solution

Q27. Two metallic spheres S_1 and S_2 are made of the same material and have identical surface finish. The mass of S_1 is three times that of S_2. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of S_1 to that of S_2 is

•  1/3
•  (1/3)^(1/3)
•  1/√3
•  √3/1

Solution

Q28. The graph, shown in the adjacent diagram, represents the variation of temperature (T) of two bodies, x and y having same surface area, with time (t) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.

•  E_x>E_y and a_x
•  E_xa_y
•  E_x>E_x and a_x>a_y
•  E_x

Solution

Q29. Steam at 100℃ is passed into 1.1 kg of water contained in a calorimeter of water equivalent to 0.02 kg at 15℃ till the temperature of the calorimeter and its contents rises to 80℃. The mass of the steam condensed in kg is

•  0.130
•  0.065
•  0.260
•  0.135

Solution

Q30. An incandescent lamp consuming P=54 W is immersed into a transparent calorimeter containing V=10³ cm³ of water. In 420 s the water is heated by 4°C. The percentage of the energy consumed by the lamp that passes out of the calorimeter in the form of radiant energy is

•  81.5%
•  26%
•  40.5%
• 51.5%

Solution