Question types

Heat Transfer question types

82 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

82
Questions
6
Question groups
5
Question types
Sample Questions

Heat Transfer questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2M.C.Q [1M]1 Mark
A heated body emits radiation which has maximum intensity near the frequency v0. The emissivity of the material is 0.5. If the absolute temperature of the body is doubled:
  1. The maximum intensity of radiation will be near the frequency 2v0
  2. The maximum intensity of radiation will be near the frequency $\frac{\text{v}_0}{2}$
  3. The total energy emitted will increase by a factor of 16.
  4. The total energy emitted will increase by a factor of 8.
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Q 3M.C.Q [1M]1 Mark
One end of a metal rod is dipped in boiling water and the other is dipped in melting ice:
  1. All parts of the rod are in thermal equilibrium with each other.
  2. We can assign a temperature to the rod.
  3. We can assign a temperature to the rod after steady state is reached.
  4. The state of the rod does not change after steady state is reached.
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Q 4M.C.Q [1M]1 Mark
In a room containing air, heat can go from one place to another:
  1. By conduction only.
  2. By convection only.
  3. By radiation only.
  4. By all the three modes.
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Q 5M.C.Q [1M]1 Mark
A hot liquid is kept in a big room. Its temperature is plotted as a function of time. Which of the following curves may represent the plot?

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Assume that the total surface area of a human body is 1.6m2 and that it radiates like an ideal radiator. Calculate the amount of energy radiated per second by the body if the body temperature is 37°C. Stefan constant $\sigma$ is 6.0 × 10-8Wm-2K-4.
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Standing in the sun is more pleasant on a cold winter day than standing in shade. Is the temperature of air in the sun considerably higher than that of the air in shade?
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Calculate the amount of heat radiated per second by a body of surface area 12cm2 kept in thermal equilibrium in a room at temperature 20°C. The emissivity of the surface = 0.80 and $\sigma=6.0\times10^{-8}\text{Wm}^{-2}\text{K}^{-4}.$
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Q 143 Marks Question3 Marks
Water is boiled in a container having a bottom of surface area 25cm2, thickness 1.0mm and thermal conductivity $50\text{wm}^{-1}{^{\circ}}\text{C}^{-1}.$ 100g of water is converted into steam per minute in the steady state after the boiling starts. Assuming that no heat is lost to the atmosphere, calculate the temperature of the lower surface of the bottom. Latent heat of vaporization of water $=0.26\times10^6\text{Jkg}^{-1}.$
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Q 153 Marks Question3 Marks
One end of a rod of length 20cm is inserted in a furnace at 800K The sides of the rod are covered with an insulating material and the other end emits radiation like a blackbody. The temperature of this end is 750K in the steady state. The temperature of the surrounding air is 300K. Assuming radiation to be the only important mode of energy transfer between the surrounding and the open end of the rod, find the thermal conductivity of the rod. Stefan constant $\sigma=6.0\times10^{-8}\text{Wm}^{-2}\text{K}^{-4}.$
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Q 163 Marks Question3 Marks
Four identical rods AB, CD, CF and DE are joined as shown in figure. The length, cross-sectional area and thermal conductivity of each rod are l, A and K respectively. The ends A, E and F are maintained at temperatures T1, T2 and T3 respectively. Assuming no loss of heat to the atmosphere, find the temperature at B.

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Q 183 Marks Question3 Marks
A cylindrical rod of length 50cm and cross sectional area 1cm2 is fitted between a large ice chamber at 0°C and an evacuated chamber maintained at 27°C as shown in figure. Only small portions of the rod are inside the chambers and the rest is thermally insulated from the surrounding. The cross section going into the evacuated chamber is blackened so that it completely absorbs any radiation falling on it. The temperature of the blackened end is 17°C when steady state is reached. Stefan constant $\sigma=6\times10^{-8}\text{W/m}^{-2}\text{K}^{-4}.$ Find the thermal conductivity of the material of the rod.

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Suppose the bent part of the frame of the previous problem has a thermal conductivity of 780Js-1m-1°C-1 whereas it is 390Js-1m-1°C-1 for the straight part. Calculate the ratio of the rate of heat flow through the bent part to the rate of heat flow through the straight part.
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The three rods shown in figure, have identical geometrical dimensions. Heat flows from the hot end at a rate of 40 Win the arrangement (a) Find the rates of heat flow when the rods are joined as in arrangement (b) and in (c) Thermal conductivities of aluminium and copper are 200Wm-1°C-1 and 400Wm-1°C-1 respectively.

  1.  

  1.  

  1.  

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On a winter day when the atmospheric temperature drops to -10°C, ice forms on the surface of a lake.
  1. Calculate the rate of increase of thickness of the ice when 10cm of ice is already formed.
  2. Calculate the total time taken in forming 10cm of ice. Assume that the temperature of the entire water reaches 0°C before the ice starts forming. Density of water = 1000kgm-3, latent heat of fusion of ice $=3.36\times10^5\text{Jkg}^{-1}$ and thermal conductivity of ice $=1.7\text{Wm}^{-1}{^{\circ}}\text{C}^{-1}.$ Neglect the expansion of water on freezing.
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Consider the situation shown in figure. The frame is made of the same material and has a uniform cross-sectional area everywhere. Calculate the amount of heat flowing per second through a cross section of the bent part if the total heat taken out per second from the end at 100°C is 130J.

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A rod of negligible heat cafacity has length 20cm, area of cross section 1.0cm and thermal conductivity 200Wm-1°C-1. The temperature of one end is maintained at 0°C and that of the other end is slowly and linearly varied from 0°C to 60°C in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes.
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Seven rods A, B, C, D, E, F and G are joined as shown in figure. All the rods have equal cross-sectional area A and length l. The thermal conductivities of the rods are KA = Kc = K0, KB = KD = 2K0, K= 3K0, KF = 4K0, and KG = 5K0. The rod E is kept at a constant temperature T2 and the rod G is kept at a constant temperature T2(T2 > T1).

  1. Show that the rod F has a uniform temperature $\text{T}=\frac{(\text{T}_1+2\text{T}_2)}{3}.$
  2. Find the rate of heat flowing from the source which maintains the temperature T2.

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A hot body placed in a surrounding of temperature $\theta_0$ obeys Newton's law of cooling $\frac{\text{d}\theta}{\text{dt}}=-\text{k}(\theta-\theta_0).$ Its temperature at t = 0 is $\theta_1.$ The specific heat capacity of the body is s and its mass is m. Find,
  1. The maximum heat that the body can lose.
  2. The time starting from t = 0 in which it will lose 90% of this maximum heat.
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Steam at 120°C is continuously passed through a 50cm long rubber tube of inner and outer radii 1.0cm and 1.2cm. The room temperature is 30°C. Calculate the rate of heat flow through the walls of the tube. Thermal conductivity of rubber = 0.15Js-1m-1°C-1.
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A calorimeter contains 50g of water at 50°C. The temperature falls to 45°C in 10 minutes. When the calorimeter contains 100g of water·at 50°0, it takes 18 minutes for the temperature to become 45°C. Find the water equivalent of the calorimeter.
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