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Thermal Properties of Matter — JEE Main & Advanced Physics PYQs

383 previous year questions from Thermal Properties of Matter with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

As shown in the figure, an insulated container is fitted with a thermally conducting but immovable partition (P₁) and a freely movable but thermally insulated piston (P₂) . The par

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2

The heat extracted out of x gram of water initially at 50°C to cool it down to 0°C is sufficient to evaporate (1000 - x) gram of water also initially at 50°C . The value of x (clos

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3

The temperature of a metal strip having coefficient of linear expansion is increased from T₁ to T₂ resulting in increase of its length by L₁ . The temperature is further increased

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4

Which of the following best represents the temperature versus heat supplied graph for water, in the range of -20^ C to 120^ C ?

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5

10 kg of ice at -10^ C is added to 100 kg of water to lower its temperature from 25 ^ C . Consider no heat exchange to surroundings. The decrement to the temperature of water is _

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6

A brass wire of length 2 m and radius 1 mm at 27^ C is held taut between two rigid supports. Initially it was cooled to a temperature of -43^ C creating a tension T in the wire. Th

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7

Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points A and F are maintained at 100^ C and 40^ C respectively. Given

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8

An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30^ C . The coefficient of linear expansion of aluminium and steel a

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9

A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27^ C to 87^ C . The rate of consumption of the gas is _ _ _ _ g / s . (Take heat of combustion of

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10

Two identical plates P and Q , radiating as perfect black bodies, are kept in vacuum at constant absolute temperatures ( T _ P ) and ( T _ Q ), respectively, with ( T _ Q

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11

Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. ( . Take g=10 ~m / s ^2 , sp

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12

Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratio of lengths, radii and thermal conductivities of these rods are : L _ A L _ B = 1

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13

A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727^ C and power radiated by the wire is 94.2 W. Its emissivity is x 8 where x=_______

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14

Consider a rectangular sheet of solid material of length =9 ~cm and width d =4 ~cm . The coefficient of linear expansion is =3.1 10⁻⁵ ~K ⁻¹ at room temperature and one atmospheric

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15

A cup of coffee cools from 90^ C to 80^ C in t minutes when the room temperature is 20^ C . The time taken by the similar cup of coffee to cool from 80^ C to 60^ C at the same room

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16

Which of the following figure represents the relation between Celsius and Fahrenheit temperatures ?

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17

The temperature of a body in air falls from 40^ C to 24^ C in 4 minutes. The temperature of the air is 16^ C . The temperature of the body in the next 4 minutes will be:

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18

A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat requi

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19

An amount of ice of mass 10⁻³ ~kg and temperature -10^ C is transformed to vapour of temperature 110^ C by applying heat. The total amount of work required for this conversion is,

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20

Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body i

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21

Three conductors of same length having thermal conductivity k ₁, k ₂ and k ₃ are connected as shown in figure. Area of cross sections of 1^ st and 2^ nd conductor are same and for

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22

The specific heat capacity of a substance is temperature dependent and is given by the formula C=k T , where k is a constant of suitable dimensions in SI units, and T is the absolu

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23

At room temperature (27^ C ) , the resistance of a heating element is 50 . The temperature coefficient of the material is 2.4 10⁻⁴ ^ C ⁻¹ . The temperature of the element, when its

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24

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 and 10 respectively. After inserting in a hot bath of temperature 4

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25

On celcius scale the temperature of body increases by 40^ C . The increase in temperature on Fahrenheit scale is :

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26

Two conductors have the same resistances at 0 ° C but their temperature coefficients of resistance are α 1 and α 2 . The respective temperature coefficients for their series and pa

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27

A block of ice at - 10 ° C is slowly heated and converted to steam at 100 ° C . Which of the following curves represent the phenomenon qualitatively:

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28

Match the temperature of a black body given in List- I with an appropriate statement in List- II , and choose the correct option. [Given: Wien’s constant as 2 . 9 × 10 -

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29

Two plates A and B have thermal conductivities 84 W m - 1 K - 1 and 126 W m - 1 K - 1 respectively. They have same surface area and same thickness. They are placed in contact along

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30

A body cools from 80 o C to 60 o in 5 minutes. The temperature for the surrounding is 20 o C . The time it takes to cool from 60 o C to 40 o C is

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31

1 kg of water at 100 ° C is converted into steam at 100 ° C by boiling at atmospheric pressure. The volume of water changes from 1 . 00 × 10 - 3 m 3 as a liquid to 1

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32

On a temperature scale ' X ', the boiling point of water is 65 ° X and the freezing point is - 15 ° X . Assuming that the X scale is linear. The equivalent temper

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33

A steel rod of length 1 m and cross-sectional area 10 - 4 m 2 is heated from 0 ° C to 200 ° C without being allowed to extend or bend. The compressive tension produced in

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34

A body cools in 7 minutes from 60 o C to 40 o C . The temperature of the surrounding is 10 o C . The temperature of the body after the next 7 minutes will be

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35

A water heater of power 2000 W is used to heat water. The specific heat capacity of water is 4200 J kg - 1 K - 1 . The efficiency of heater is 70 % . Time required to heat 2 kg of

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36

A thin rod having a length of 1 m and area of cross-section 3 × 10 - 6 m 2 is suspended vertically from one end. The rod is cooled from 210 ° C to 160 ° C . After co

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37

A faulty thermometer reads 5 ° C in melting ice and 95 ° C in steam. The correct temperature on absolute scale will be ______ K when the faulty thermometer reads 41 &#176

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38

Heat energy of 184 kJ is given to ice of mass 600 g at - 12 ° C , Specific heat of ice is 2222 . 3 J kg – 1 ° C – 1 and latent heat of ice is 336 kJ kg &#8211

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39

A body cools from 60 ° C to 40 ° C in 6 minutes. If, temperature of surroundings is 10 ° C . Then, after the next 6 minutes, its temperature will be ______ ° C

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40

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-

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41

The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale P and 100 divisions

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42

A bowl filled with very hot soup cools from 98 ° C to 86^ C in 2 minutes when the room temperature is 22^ C . How long it will take to cool from 75^ C to 69^ C ?

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43

A hole is drilled in a metal sheet. At 27 ° C , the diameter of hole is 5 cm . When the sheet is heated to 177 ° C , the change in the diameter of hole is d × 10 - 3

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44

Nearly 10 % of the power of a 110 W light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of 1 m from the bulb to a di

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45

Two metallic wires of identical dimensions are connected is series. If σ 1 and σ 2 are the conductivities of the these wires respectively, the effective conductivity of t

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46

If K 1 and K 2 are the thermal conductivities L 1 and L 2 are the lengths and A 1 and A 2 are the cross sectional areas of steel and copper rods respectively such that K 2 K 1 = 9

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47

An ice cube of dimensions 60 cm × 50 cm × 20 cm is placed in an insulation box of wall thickness 1 cm . The box keeping the ice cube at 0 ° C of temperature is broug

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48

A block of ice of mass 120 g at temperature 0 ° C is put in 300 g of water at 25 ° C . The x g of ice melts as the temperature of the water reaches 0 ° C . The value

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49

A unit scale is to be prepared whose length does not change with temperature and remains 20   cm , using a bimetallic strip made of brass and iron each of different length. Th

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50

At what temperature a gold ring of diameter 6 . 230 cm be heated so that it can be fitted on a wooden bangle of diameter 6 . 241 cm ? Both the diameters have been measured at room

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51

A cylinder of fixed capacity of 44 . 8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by

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52

As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4 . 0 cm and 2 . 5 cm respec

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53

Resistance of the wire is measured as 2 Ω and 3 Ω at 10 ° C and 30 ° C respectively. Temperature coefficient of resistance of the material of the wire is

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54

A lead bullet penetrates into a solid object and melts. Assuming that 40 % of its kinetic energy is used to heat it, the initial speed of bullet is (Given, initial temperature of t

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55

A geyser heats water flowing at a rate of 2 . 0 kg per minute from 30 ° C to 70 ° C . If geyser operates on a gas burner, the rate of combustion of fuel will be _____ g m

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56

A solid metallic cube having total surface area 24 m 2 is uniformly heated. If its temperature is increased by 10 ° C , calculate the increase in volume of the cube. (Given &#

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57

A copper block of mass 5 . 0 kg is heated to a temperature of 500 ° C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of co

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58

A steam engine intakes 50   g of steam at 100 ° C per minute and cools it down to 20 ° C . If latent heat of vaporization of steam is 540   cal   g - 1 , t

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59

A 100 g of iron nail is hit by a 1 . 5 kg hammer striking at a velocity of 60 ms - 1 . What will be the rise in the temperature of the nail if one fourth of energy of the hammer go

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60

In an experiment to verify Newton's law of cooling. a graph is plotted between. the temperature difference Δ T of the water and surroundings and time as shown in figure. T

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61

Two metallic blocks M 1 and M 2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M 2 is K then the thermal conductivit

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62

A small object is placed at the centre of a large evacuated hollow spherical container. Assume the container is maintained at 0 K . At time t = 0 , the temperature of the object is

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63

Due to cold weather, a 1 m water pipe of cross-sectional area 1 cm 2 is filled with ice at - 10 ° C . Resistive heating is used to melt the ice. Current of 0 . 5 A is passed t

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64

A 2   kg steel rod of length 0 . 6   m is clamped on a table vertically at its lower end and is free to rotate in the vertical plane. The upper end is pushed so that the

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65

Two thin metallic spherical shells of radii r 1 and r 2 r 1 < r 2 are placed with their centres coinciding. A material of thermal conductivity K is filled in the space between

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66

An ideal gas is expanding such that P T 3 = constant. The coefficient of volume expansion of the gas is:

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67

A rod C D of thermal resistance 10 . 0 KW - 1 is joined at the middle of an identical rod A B as shown in figure. The ends A ,   B and D are maintained at 200 ° C , 100 &

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68

The temperature of equal masses of three different liquids x , y and z are 10 ° C , 20 ° C and 30 ° C respectively. The temperature of mixture when x is mixed with y

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69

A body takes 4 min to cool from 61 ° C to 59 ° C . If the temperature of the surroundings is 30 ° C , the time taken by the body to cool from 51 ° C to 49 &#176

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70

Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as sho

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71

In 5   minutes , a body cools from 75   ° C to 65   ° C at room temperature of 25   ° C . The temperature of body at the end of next 5   min

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72

Two identical metal wires of thermal conductivities K 1 and K 2 respectively are connected in series. The effective thermal conductivity of the combination is:

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73

A bimetallic strip consists of metals A and B . It is mounted rigidly as shown. The metal A has higher coefficient of expansion compared to that of metal B . When the bimetallic st

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74

The temperature θ at the junction of two insulating sheets, having thermal resistances R 1 and R 2 as well as top and bottom temperatures θ 1 and θ 2 (as shown in fi

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75

A container is divided into two chambers by a partition. The volume of first chamber is 4 . 5 litre and second chamber is 5 . 5 litre . The first chamber contain 3 . 0 moles of gas

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76

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A : When a rod lying freely is heated, no thermal stress is develop

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77

Each side of a box made of metal sheet in cubic shape is a at room temperature T , the coefficient of linear expansion of the metal sheet is α . The metal sheet is heated unif

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78

A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time per unit area received due to

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79

The filament of a light bulb has surface area 64 mm 2 . The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from

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80

Three rods of identical cross-section and length are made of three different materials of thermal conductivity K 1 , K 2 and K 3 , respectively. They are joined together at their e

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81

Two different wires having lengths L 1 and L 2 and respective temperature coefficient of linear expansion α 1 and α 2 , are joined end-to-end. Then the effective temperat

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82

The specific heat of water = 4200 J kg – 1 K – 1 and the latent heat of ice = 3.4 × 10 5 J k g – 1 . 100 grams of ice at 0 o C is placed in 200 g of water at

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83

A metallic sphere cools from 50 ° C to 40 ° C in 300 s . If atmospheric temperature around is 20 ° C , then the sphere's temperature after the nest 5 minutes wil

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84

A calorimeter of water equivalent 20 g contains 180 g of water at 25 ° C . m ' ' ' grams of steam at 100 ° C is mixed in it till the temperature of the mixtur

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85

A bakelite beaker has volume capacity of 500   cc at 30 ° C . When it is partially filled with V m volume (at 30 ° C ) of mercury, it is found that the unfilled volu

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86

When the temperature of a metal wire is increased from 0 º C to 10 º C , its length increases by 0 . 02 % .The percentage change in its mass density will be closed to:

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87

Three containers C 1 , C 2 and C 3 have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in liters) are taken f

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88

M grams of steam at 100 o C is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40 o C [heat of vaporization of water

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89

A non-isotropic solid metal cube has coefficients of linear expansion as: 5 × 10 − 5 / o C along the x-axis and 5 × 10 − 6 / o C along the y and the z-axis. I

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90

A partition wall has two layers of different materials A and B in contact with each other. They have the same thickness but the thermal conductivity of layer A is twice that of B .

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91

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 volume of mercury in this flask

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92

A horizontal uniform glass tube of 100 cm length, sealed at both ends, contains 10 cm mercury column in the middle. The temperature and pressure of air on either side of mercury co

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93

A sphere and a cube of same material and same total surface area are placed in the same evacuated space turn by turn after they are heated to the same temperature. Find the ratio o

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94

A partition wall has two layers of different materials A and B in contact with each other. They have the same thickness but the thermal conductivity of layer A is twice that of B .

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95

A block of wood is floating in water at 0 ° C . The temperature of water is slowly raised from 0 ° C to 10 ° C . With the rise in temperature, the volume of block V above water lev

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96

Three very large plates of the same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first a

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97

A wire, 3 m in length and 1 mm in diameter at 30 ° C is kept in low temperature at - 170 ° C and is stretched by hanging a weight of 10 kg at one end. The change in length of the w

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98

A thermally insulated piece of metal is heated under atmospheric pressure by an electric current so that it receives electric energy at constant power P . This leads to an increase

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99

Liquids A and B are at 30   o C and 20   o C , respectively. When mixed in equal masses, the temperature of the mixture is found to be 26   o C , The specific hea

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100

One end of a copper rod of uniform cross-section and of length 1 . 5 m is kept in contact with ice at 0 ° C and the other end with water at 100 ° C . If the whole system is insulat

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101

Consider two spheres A and B of the same size and made of the same material. The sphere A is hollow while the sphere B is solid. If both the spheres are heated to the same temperat

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102

Two uniform solid spheres made of copper have radii 15   cm and 20   cm respectively. Both of them are heated to a temperature of 70 ° C and then placed in a region

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103

Three rods of material x and three rods of material y of identical length and cross sectional area are connected as shown in the figure. If the end A is maintained at 60 ∘ C

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104

Four identical heat conductors are connected as shown in the figure. The temperature θ of the junction is [rods are insulated from the sides]

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105

A liquid having a coefficient of volume expansion γ is filled in a cylindrical vessel made out of glass having coefficient of linear expansion α = γ 5 . At room temperature, the le

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106

A liquid A of mass 100 g at 100 ° C is added to 50 g of a liquid B at temperature 75 ° C , the temperature of the mixture becomes 90 ° C . Now if 100 g of liquid A at 100 ° C is ad

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107

A body cools from 50 ° C to 40 ° C in 5 minutes. Its temperature comes down to 33 . 33 ° C in the next 5 minutes. The temperature of the surroundings is

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108

150 g of water at 0 ° C is contained in a thermally insulated container. Now the air from the vessel is pumped out adiabatically. A fraction of water gets converted into ice and th

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109

The temperature of a body falls from 40 ° C to 36 ° C in 4 minutes , when placed in a constant ambient temperature of 20 ° C . The time it takes for the temperature to fall from 36

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110

A heating curve has been plotted for a solid object as shown in the figure. If the mass of the object is 100 g , then latent heat of vapourisation for the material of the object is

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111

An ideal gas is expanding such as P T 2 = c o n s t a n t . The coefficient of volume expansion of the gas is

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112

Two electric lamps A and B radiate the same power. Their filaments have the same dimensions and have emissivities e A and e B respectively. Their surface temperatures are T A and T

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113

Ice starts forming in a lake where the water is at 0 ° C and the ambient temperature is - 1 0 ° C . If the time taken for 1 c m of ice to be formed is 7 hours , then the time taken

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114

When a liquid in a glass vessel is heated, its apparent expansion coefficient is 10.30 × 10 - 4 ℃ - 1 . When the same liquid is heated in a metal vessel, its apparent expansion coe

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115

A seconds pendulum clock having steel wire is calibrated at 20 ° C . When temperature is increased to 30 ° C , then calculate how much time does the clock lose or gain in one week

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116

Two rods, one of aluminium and the other made of steel, having initial lengths l 1 and l 2 are connected together to form a single rod of length l 1 + l 2 . The coefficients of lin

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117

The graph shown in the adjacent diagram represents the variation of temperature ( T ) of two bodies x and y having the same surface area, with time ( t ). Both of these bodies lose

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118

Two rods of the same length and material transfer a given amount of heat in 12 s , when they are joined end to end, i.e. in series. When they are joined in parallel, they will tran

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119

A metal rod having linear expansion coefficient 2 × 10 - 5 ° C - 1 has a length of 1 m at 20 ° C . The temperature at which it is shortened by 1 mm is

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120

A clock that keeps correct time at 20 ° C , is subjected to 40 ° C . If the coefficient of linear expansion of the pendulum is 12 × 10 - 6 ° C - 1 , the time gained or lost, per da

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