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Heat Transfer — JEE Main & Advanced Physics PYQs

89 previous year questions from Heat Transfer with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A liquid-nitrogen container is constructed from a 1 -cm thick styrofoam sheet with a thermal conductivity of 0.025 J s ⁻¹ m ⁻¹ ^ C ⁻¹ . Liquid nitrogen at 80 K is stored inside. A

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2

A uniform slab measuring 10 cm 10 cm 1 cm is placed between two heat reservoirs maintained at temperatures of 10^ C and 90^ C . The larger surface areas of the slab are in contact

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3

A person's normal body-temperature is 97 ^ F . Determine the rate at which heat flows out of their body through the clothes, assuming the following values: room temperature = 47 ^

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4

A steel rod ( K = 46 J s ⁻¹ m ⁻¹ ^ C ⁻¹ ) of length 1.0 m has one end kept in ice at 0^ C and the opposite end in boiling water at 100^ C . The rod has a cross-sectional area of 0.

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5

An icebox almost entirely filled with ice at 0^ C is submerged in a large volume of water at 20^ C . The walls of the box have a surface area of 2400 cm ^2 , a thickness of 2.0 mm

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6

Water is boiled in a container whose bottom has a surface area of 25 cm ^2 , a thickness of 1.0 mm , and a thermal conductivity of 50 W m ⁻¹ ^ C ⁻¹ . After boiling begins, 100 g of

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7

A pitcher having 1 -mm thick porous walls holds 10 kg of water. Water reaches the outer surface and evaporates at a rate of 0.1 g s ⁻¹ . The surface area of the pitcher (one side)

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8

Forming three sides of a square, a steel frame ( K = 45 W m ⁻¹ ^ C⁻¹ ) has a total length of 60 cm and a cross sectional area of 0.20 cm ^2 . The two free ends are maintained at 20

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9

The left end of a copper rod (length = 20 cm , area of cross section = 0.20 cm ^2 ) is kept at 20^ C while the right end is kept at 80^ C . Ignoring any heat loss due to radiation,

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10

The left end of a copper rod (length = 20 cm , area of cross section = 0.20 cm ^2 ) is kept at 20^ C while the right end is kept at 80^ C . Ignoring any heat loss due to radiation,

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11

Water at 50^ C is contained in a closed cylindrical vessel of height 10 cm and cross sectional area 10 cm ^2 . The walls of the vessel are adiabatic, while the flat parts are const

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12

A cubical box with a volume of 216 cm ^3 is constructed from wood of thickness 0.1 cm . Its interior is electrically heated using a 100 W heater. During steady state, the temperatu

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13

A metre stick has its ends maintained at 100^ C and 0^ C . One end of a rod is kept at 25^ C . At what point on the metre stick should the other end of the rod be touched so that z

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14

During a winter day, the atmospheric temperature falls to -10^ C , and ice begins to form on the surface of a lake. Determine the rate of increase of the ice thickness when 10 cm o

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15

During a winter day, the atmospheric temperature falls to -10^ C , and ice begins to form on the surface of a lake. Determine the total time required for the formation of 10 cm of

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16

During a winter day, the atmospheric temperature drops to -10^ C and ice forms on the surface of a lake. Suppose that the water temperature at the bottom of the lake stays constant

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17

Three rods, each of length 20 cm and cross-sectional area 1 cm ^2 , are joined together to form a triangle ABC . The thermal conductivities of these rods are K_ AB = 50 J s ⁻¹ m ⁻¹

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18

A semicircular rod is connected at its ends to a straight rod made of the same material and having the same cross-sectional area. The straight rod acts as a diameter for the semici

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19

One end of a metal rod having a cross-sectional area of 1.0 cm ^2 is being heated. At a certain instant, the temperature gradient is 5.0^ C cm ⁻¹ at cross section A and 2.5^ C cm ⁻

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20

Steam at 120^ C is continuously passed through a rubber tube that is 50 cm long with inner and outer radii of 1.0 cm and 1.2 cm , respectively. The room temperature is 30^ C . Dete

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21

A hollow tube possesses a length l , inner radius R₁ , and outer radius R₂ . The material has a thermal conductivity K . Determine the heat flowing through the walls of the tube if

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22

A central hole of radius r₁ is created in a uniform circular disc having thickness d and radius r₂ . The inner surface (a cylinder of length d and radius r₁ ) is kept at a temperat

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23

A hollow tube possesses a length l , inner radius R₁ , and outer radius R₂ . The material has a thermal conductivity K . Determine the heat flowing through the walls of the tube if

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24

Water is held in a container with 2.0 -mm thick walls composed of a material having a thermal conductivity of 0.50 W m ⁻¹ ^ C ⁻¹ , as shown in the figure. The container is immersed

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25

A copper rod is joined to a steel rod as shown in the figure. Both rods possess equal length and identical cross sectional area. The copper rod's free end is maintained at 0^ C whi

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26

A composite slab is formed by pasting together two plates of thicknesses L₁ and L₂ and thermal conductivities K₁ and K₂ . The slabs possess equal cross-sectional area. Determine th

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27

As shown in the figure, an aluminium rod and a copper rod, each having a length of 1.0 m and a cross-sectional area of 1 cm ^2 , are welded together. One end of the combination is

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28

As shown in the figure, an aluminium rod is joined to a copper rod. Both rods possess a length of 20 cm and a cross-sectional area of 0.20 cm ^2 . The junction between them is kept

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29

A room features a window equipped with a single 1.0 m 2.0 m glass of thickness 2 mm . Determine the rate of heat flow through the closed window if the temperature inside the room i

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30

Consider the setup depicted in the figure. Assume that the thermal conductivity of the bent part of the frame is 780 J s ⁻¹ m ⁻¹ ^ C ⁻¹ , while for the straight part it is 390 J s

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31

Consider the situation depicted in the figure. The frame is constructed from the same material and possesses a uniform cross-sectional area throughout. Determine the amount of heat

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32

Two rods with identical geometrical dimensions are placed between two heat baths maintained at 100^ C and 0^ C , as shown in the figure. The temperature at their junction is 70^ C

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33

The three rods depicted in the figure have identical geometrical dimensions. In arrangement (a), heat flows from the hot end at a rate of 40 W . The thermal conductivities of alumi

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34

A room features a window of dimensions 1.0 m 2.0 m equipped with two glasspanes. Each glasspane has a thickness of 1 mm and they are separated by an air gap of 1 mm . Determine the

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35

The three rods depicted in the figure have identical geometrical dimensions. In arrangement (a), heat flows from the hot end at a rate of 40 W . The thermal conductivities of alumi

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36

The three rods depicted in the figure have identical geometrical dimensions. In arrangement (a), heat flows from the hot end at a rate of 40 W . The thermal conductivities of alumi

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37

Seven rods A , B , C , D , E , F and G are connected as depicted in the figure. Every rod possesses an identical cross-sectional area A and length l . The thermal conductivities of

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38

Four identical rods AB , CD , CF and DE are connected as shown in the figure. For each rod, the length, cross-sectional area, and thermal conductivity are l , A , and K respectivel

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39

Seven rods A , B , C , D , E , F and G are connected as depicted in the figure. Every rod possesses an identical cross-sectional area A and length l . The thermal conductivities of

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40

Determine the rate of heat flow across a cross section of the rod illustrated in the figure ( ₂ > ₁ ). The material of the rod has a thermal conductivity K .

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41

A hollow metallic sphere of radius 20 cm encloses a concentric metallic sphere of radius 5 cm . The region between the two spheres is filled with a nonmetallic material. The inner

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42

Two adiabatic vessels, as shown in the figure, each contain a mass m of water at different temperatures. A metal rod of length L , area of cross section A , and thermal conductivit

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43

Two bodies having masses m₁ and m₂ along with specific heat capacities s₁ and s₂ are joined by a rod of length l , cross-sectional area A , thermal conductivity K , and negligible

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44

A rod with negligible heat capacity has a length of 20 cm , a cross-sectional area of 1.0 cm ^2 , and a thermal conductivity of 200 W m ⁻¹ ^ C ⁻¹ . One end's temperature is maintai

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45

Determine the amount of heat radiated per second by a body having a surface area of 12 cm ^2 , which is maintained in thermal equilibrium inside a room at a temperature of 20^ C .

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46

Suppose that the total surface area of a human body is 1.6 m ^2 and it emits radiation like an ideal radiator. Determine the amount of energy radiated per second by the body if the

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47

A solid aluminium sphere and a solid copper sphere, the latter having twice the radius, are heated to identical temperatures and subsequently allowed to cool in identical surroundi

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48

A solid aluminium sphere and a solid copper sphere, the latter having twice the radius, are heated to identical temperatures and subsequently allowed to cool in identical surroundi

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49

A 100 W bulb has a tungsten filament with a total length of 1.0 m and a radius of 4 10⁻⁵ m . The emissivity of the filament is 0.8 , and = 6.0 10⁻⁸ W m ⁻² K ⁻⁴ . Calculate the temp

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50

Suspended inside a closed box maintained at 57^ C , a spherical ball with a surface area of 20 cm ^2 absorbs all incident radiation. Determine the amount of radiation falling on th

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51

Suspended inside a closed box maintained at 57^ C , a spherical ball with a surface area of 20 cm ^2 absorbs all incident radiation. Determine the net rate of heat flow to or from

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52

Suspended in an evacuated chamber kept at 300 K , a spherical tungsten piece of radius 1.0 cm is maintained at a temperature of 1000 K via electrical heating. Determine the rate at

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53

A copper sphere is suspended within an evacuated chamber kept at 300 K . The sphere is kept at a constant temperature of 500 K by heating it electrically, which requires 210 W of e

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54

A cubical block of mass 1.0 kg and edge 5.0 cm is heated to 227^ C . It is placed in an evacuated chamber maintained at 27^ C . Assuming the block emits radiation as a blackbody, d

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55

A spherical ball A having a surface area of 20 cm ^2 is positioned at the centre of a hollow spherical shell B of area 80 cm ^2 . The surface of A and the inner surface of B both e

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56

A spherical ball A having a surface area of 20 cm ^2 is positioned at the centre of a hollow spherical shell B of area 80 cm ^2 . The surface of A and the inner surface of B both e

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57

A spherical ball A having a surface area of 20 cm ^2 is positioned at the centre of a hollow spherical shell B of area 80 cm ^2 . The surface of A and the inner surface of B both e

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58

A cylindrical rod with a length of 50 cm and a cross-sectional area of 1 cm ^2 is positioned between a large ice chamber at 0^ C and an evacuated chamber kept at 27^ C , as shown i

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59

A calorimeter with negligible heat capacity holds 100 cc of water at 40^ C . In 5 minutes, the water cools to 35^ C . The water is subsequently substituted with an equal volume of

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60

A rod of length 20 cm has one end placed inside a furnace at 800 K . The sides of the rod are covered by an insulating material, whereas the other end behaves as a blackbody and em

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61

A cylindrical vessel fitted with a light piston contains an amount n (in moles) of a monatomic gas at an initial temperature T₀ . The surrounding air is at a temperature T_s ( > T₀

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62

A body cools from 50^ C to 45^ C in 5 minutes, and subsequently to 40^ C in another 8 minutes. Determine the temperature of the surrounding.

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63

A calorimeter holds 50 g of water at 50^ C , and its temperature drops to 45^ C in 10 minutes. If the calorimeter instead holds 100 g of water at 50^ C , the temperature takes 18 m

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64

Using a 20 W heater, a metal ball of mass 1 kg is heated inside a room that is maintained at 20^ C . The ball's temperature eventually settles at a steady value of 50^ C . Determin

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65

Inside a room at 20^ C , a metal ball of mass 1 kg is heated by a 20 W heater. The temperature of the ball reaches a steady state at 50^ C . Assuming Newton's law of cooling holds

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66

A 20 W heater is used to heat a metal ball of mass 1 kg in a room at 20^ C . The ball eventually attains a steady temperature of 50^ C . Assuming the temperature of the ball increa

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67

A metal ball of mass 1 kg is placed in a room at 20^ C and heated using a 20 W heater. The steady-state temperature of the ball is observed to be 50^ C . Assuming the ball's temper

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68

A metal block having a heat capacity of 80 J ^ C ⁻¹ is located in a room at 20^ C and is heated electrically. Once the temperature attains 30^ C , the heater is turned off. Just af

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69

A metal block having a heat capacity of 80 J ^ C ⁻¹ is located in a room at 20^ C and is heated electrically. Once the temperature attains 30^ C , the heater is turned off. Just af

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70

A metal block having a heat capacity of 80 J ^ C ⁻¹ is located in a room at 20^ C and is heated electrically. Once the temperature attains 30^ C , the heater is turned off. Just af

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71

A metal block having a heat capacity of 80 J ^ C ⁻¹ is located in a room at 20^ C and is heated electrically. Once the temperature attains 30^ C , the heater is turned off. Just af

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72

A hot body placed in a surrounding of temperature ₀ conforms to Newton's law of cooling, d dt = -k( - ₀) . At t = 0 , its temperature is ₁ . The mass of the body is m and its speci

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73

A hot body placed in a surrounding of temperature ₀ conforms to Newton's law of cooling, d dt = -k( - ₀) . At t = 0 , its temperature is ₁ . The mass of the body is m and its speci

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74

The thermal conductivity of a rod is dependent on

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75

The thermal radiation emitted by a body is proportional to T^n , where T denotes its absolute temperature. The value of n equals exactly 4 for

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76

Two bodies, A and B , which possess equal surface areas, are maintained at temperatures of 10^ C and 20^ C . The ratio of the thermal radiation emitted by A and B in a specific tim

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77

One end of a metal rod is placed in a furnace. Under steady-state conditions, the temperature of the rod

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78

Newton's law of cooling represents a special case of

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79

Within a room containing air, heat can transfer from one location to another

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80

A solid at temperature T₁ is placed in an evacuated chamber that is at a temperature T₂ > T₁ . The rate of increase of the solid's temperature is proportional to

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81

A hot liquid is placed in a large room. The logarithm of the numerical value of the temperature difference between the liquid and the room is plotted as a function of time. The res

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82

A body requires 5 minutes to cool from 65^ C to 60^ C . To cool from 60^ C to 55^ C , it will take

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83

A hot liquid is placed in a large room. The temperature of the liquid is plotted as a function of time. Which of the curves shown could represent the plot?

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84

During summer, a mild wind is frequently observed on the shore of a calm river. This phenomenon is caused by

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85

A blackbody will never

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86

A metal rod has one end immersed in boiling water and the other end immersed in melting ice.

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87

A piece of charcoal and a piece of shining steel having the same surface area are placed in an open lawn under the bright sun for a long duration.

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88

A heated body radiates energy with a maximum intensity around the frequency ₀ . The emissivity of the material is 0.5 . If the absolute temperature of the body is doubled,

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89

A solid sphere and a hollow sphere made of the same material and having equal radii are heated to an identical temperature.

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