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Thermal Properties of Matter

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 2021 Paper 13, 25 Jan 2023, 29 Jan 2023, 6 Apr 2023, 12 Apr 2023, 24 Jan 2025, 29 Jan 2025. This one: 29 Jan 2025 See all 7 of this type

    94
    A cup of coffee cools from 90∘C90^{\circ}C to 80∘C80^{\circ}C in t minutes when the room temperature is 20∘C20^{\circ}C. The time taken by the similar cup of coffee to cool from 80∘C80^{\circ}C to 60∘C60^{\circ}C at the same room temperature is :

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  2. Question 2

    This type asked 5 times: 2021 Paper 13, 2021 Paper 24, 31 Jan 2023, 8 Apr 2023, 24 Jan 2026 S1. This one: 24 Jan 2026 S1 See all 5 of this type

    14
    A brass wire of length 2 m and radius 1 mm at 27∘C27^{\circ}C is held taut between two rigid supports. Initially it was cooled to a temperature of −43∘C-43^{\circ}C creating a tension T in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4 T , is ____\_\_\_\_  ∘C\ ^{\circ}C

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  3. Question 3

    This type asked 5 times: 2021 Paper 25, 27 Jul 2022, 13 Apr 2023, 7 Apr 2025, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 5 of this type

    13
    Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points AA and FF are maintained at 100∘C100^{\circ}C and 40∘C40^{\circ}C respectively. Given the thermal conductivity of rod x is three times of that of rod y , the temperature at junction points BB and EE are (close to) :

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  4. Question 4

    This type asked 4 times: 25 Jun 2022, 25 Jul 2022, 29 Jan 2023, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 4 of this type

    1
    10 kg of ice at −10∘C-10^{\circ}C is added to 100 kg of water to lower its temperature from 25∘C25^{\circ}C. Consider no heat exchange to surroundings. The decrement to the temperature of water is ____\_\_\_\_  ∘C\ ^{\circ}C. (specific heat of ice =2100 J/Kg. ∘C= 2100\text{ }J/Kg.\ ^{\circ}C, specific heat of water =4200 J/Kg. ∘C= 4200\text{ }J/Kg.\ ^{\circ}C, latent heat of fusion of ice =3.36×105 J/Kg= 3.36 \times10^{5}\text{ }J/Kg )

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  5. Question 5

    Asked 3 times: 2021 Paper 20, 30 Jan 2023*, 5 Apr 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    9
    An ideal gas at pressure PP and temperature TT is expanding such that PT3=PT^{3}= constant. The coefficient of volume expansion of the gas is ____\_\_\_\_ .

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  6. Question 6

    This type asked 3 times: 29 Jun 2022, 24 Jan 2023, 21 Jan 2026 S1. This one: 21 Jan 2026 S1 See all 3 of this type

    15
    An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30∘C30^{\circ}C. The coefficient of linear expansion of aluminium and steel are 24×10−6/ ∘C24 \times 10^{- 6}/\ ^{\circ}C and 1.2×10−5/ ∘C1.2 \times 10^{- 5}/\ ^{\circ}C, respectively. The length of this composite rod when its temperature is raised to 100∘C100^{\circ}C, is ____\_\_\_\_ cm.

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  7. Question 7

    This type asked 3 times: 2021 Paper 1, 25 Jun 2022, 4 Apr 2025. This one: 4 Apr 2025 See all 3 of this type

    78
    Consider a rectangular sheet of solid material of length l=9 cm\mathcal{l}= 9\text{ }cm and width d=d = 4 cm4\text{ }cm. The coefficient of linear expansion is α=3.1×10−5 K−1\alpha= 3.1 \times10^{- 5}{\text{ }K}^{- 1} at room temperature and one atmospheric pressure. The mass of sheet m=0.1 kgm= 0.1\text{ }kg and the specific heat capacity Cv=900 J kg−1 K−1C_{v}= 900\text{ }J{\text{ }kg}^{- 1}{\text{ }K}^{- 1}. If the amount of heat supplied to the material is 8.1×102 J8.1 \times10^{2}\text{ }J then change in area of the rectangular sheet is :-

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  8. Question 8

    This type asked 3 times: 25 Jan 2023, 30 Jan 2023, 11 Apr 2023. This one: 11 Apr 2023 See all 3 of this type

    16
    On a temperature scale ' XX '. The boiling point of water is 65∘X65^{\circ}X and the freezing point is −15∘X-15^{\circ}X. Assume that the XX scale is linear. The equivalent temperature corresponding to −95∘X-95^{\circ}X on the Fahrenheit scale would be:

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  9. Question 9

    Asked 2 times: 30 Jan 2024*, 28 Jan 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    8
    Which of the following best represents the temperature versus heat supplied graph for water, in the range of −20∘C-20^{\circ}C to 120∘C120^{\circ}C ?

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  10. Question 10

    Asked 2 times: 26 Jun 2022*, 21 Jan 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    2
    A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27∘C27^{\circ}C to 87∘C87^{\circ}C. The rate of consumption of the gas is ____\_\_\_\_ g/s. (Take heat of combustion of gas =5.0×104 J/g= 5.0 \times10^{4}\text{ }J/g ) specific heat capacity of water =4200 J/kg⋅ ∘C= 4200\text{ }J/kg \cdot\ ^{\circ}C

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