JEE Physics - Thermal Properties of Matter Heat

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Question - 1

A new linear temperature scale designed for specific experiment records the ice point at 22 oT (oT is the new unit of temperature) and the steam point 232 oT. The specific heat capacity of water in J kg-1 \({ }^{\circ} \mathrm{T}^{-1}\) will be if it is 4200 in J kg-1 oC-1.

  • A 3000
  • B 4000
  • C 2000
  • D 1000

Question - 2

Two conducting cylinders are connected in series with each other. They are kept between two heat baths at temperatures T1 = 200 K and T2 = 400 K as shown in the figure. Radius of the smaller cylinder is half the radius of bigger one, whereas, both of them have same length L. Thermal conductivities of the materials of the larger and the smaller cylinders are K1 and K2 respectively. In steady state, if temperature at the junction of the two cylinders is 300 K. then \(\left(\frac{\mathrm{K}_{1}}{\mathrm{~K}_{2}}\right)\) will be  ________.

  • A 0.13
  • B 0.25
  • C 0.15
  • D 0.45

Question - 3

Three copper bodies at temperature 30 oC. 20oC and 35 oC have masses 3m, m and 2m respectively. If the bodies are brought in thermal contact, then the final temperature attained by the bodies will be ___________ oC.

  • A 10
  • B 30
  • C 40
  • D 50

Question - 4

Three rods of copper. brass and steel are welded together to term an inverted Y-shaped structure. End of copper rod is maintained at 100 oC whereas ends of brass and steel are kept at 0 oC. All the three rods have same length of 9 cm and cross section of 4.5 cm2. Th. rods are thermally insulated from surroundings except at ends. Rate of heat flow through copper rod is________ calls.
(Take thermal conductivities of copper, brass and steel to be 0.9, 0.24 and 0.11 CGS units respectively.)

  • A 12.6
  • B 12
  • C 13
  • D 13.6

Question - 5

An electric heater, with power l0 W is used to heat a container filled with 0.5 kg of water. Ir is found that the temperature of water and the container rises by 3 K in 15 minutes. The container is then emptied, dried and filled with 2 kg of oil. The same heater now raises the temperature of container-oil system by 2 K in 20 minutes. Assuming that there is no heat loss in the process and the specific heat of water is 4200 Jkg -1K-1, the specific heat of oil in the same unit is equal to _________ x 103.

  • A 3.55
  • B 1.55
  • C 2.55
  • D 5.55

Question - 6

Equal volumes of two liquids are cooled under identical circumstances from 72 oC to 40 oC and time taken by them are 510 and 850 seconds respectively. If ratio of their specific heats is 3 : 4, then the density of first liquid is ______________ times density of second liquid. (Work done may be neglected.)

  • A 0.8
  • B 0.7
  • C 0.5
  • D 0.6

Question - 7

'M' kg of water at 80 oC is divided into two parts so that one part of mass 'm' kg when converted into ice at 0 oC would release enough heat to vaporise the other part entirely, then \(\frac{\mathrm{m}}{\mathrm{M}}\) is equal to ___________
(Take Specific heat of water= 1 cal g -1 oC-1,
Latent heat of fusion of ice = 80 cal g-1,
Latent heat of steam = 540 cal g -l)

  • A 4.78
  • B 5.78
  • C 0.78
  • D 1.78

Question - 8

A pendulum clock gains 5 s a day if the temperature is 15 oC and loses l0 s a day if the temperature is 30 oC. The relation between coefficient of linear expansion (\(\alpha\)) of the metal of the pendulum shaft and time period (T) of the pendulum is \(\alpha=\frac{x}{T}\) where x has the value _____________

  • A 1
  • B 2
  • C 3
  • D 4

Question - 9

Three very large plates of same area are kept parallel equispaced and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures 3T and 2T, respectively. The temperature of the middle (i.e., second) plate under steady state ,condition is n4. The value of no will be __________

  • A 48.5
  • B 44.5
  • C 47.5
  • D 49.5

Question - 10

A body cools at the rate of 2.8 oC/min, when its temperature is 70 oC. If the temperature of its surroundings is half the temperature of the body, then the rate of cooling of the body at 40 oC will be_________ oC / min.

  • A 1
  • B 0.1
  • C 0.2
  • D 0.4