Thermal Properties of Matter

Given below are two statements:
Statement I: The hot water flows faster than cold water
Statement II: Soap water has higher surface tension as compared to fresh water.
In the light of above statements, choose the correct answer from the options given below

[JEE Main 2025, 23 Jan (Shift 1)]

A cup of coffee take a time ' t' to cool from \(90^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\) in a surrounding of \(20^{\circ} \mathrm{C}\). If a similar cup of coffee is cooled from \(80^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) in the same surrounding, it takes a time

(Shift - II Memory Based)

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

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have;

[JEE Main 2025, 29 Jan (Shift 2)]

Two spherical black bodies of radii \(0.8\text{ }\text{m}\) and \(0.2\text{ }\text{m}\) are at temperatures of \(400\text{ }\text{K}\) and \(800\text{ }\text{K}\), respectively. Find the ratio of the rate of heat loss from the two bodies.

(Shift I Memory based)

Given below are two statements:
Statement I: The hot water flows faster than cold water
Statement II: Soap water has higher surface tension as compared to fresh water.
In the light of above statements, choose the correct answer from the options given below

[JEE Main 2025, 23 Jan (Shift 1)]

An amount of ice of mass \({10}^{-3}\mathrm{kg}\) and temperature \(-10^\circ \mathrm{C}\) is transformed to vapour of temperature \(110^\circ \mathrm{C}\) by applying heat. The total amount of work required for this conversion is,
(Take, specific heat of ice \(=2100{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), specific heat of water \(=4180{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), specific heat of steam \(=1920{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), Latent heat of ice \(=3.35\times {10}^{5}{\mathrm{Jkg}}^{-1}\) and Latent heat of steam \(=2.25\times {10}^{6}\) \({\mathrm{Jkg}}^{-1}\) )

[JEE Main 2025, 22 Jan (Shift 1)]

A bullet at \(300\text{ }\text{K}\) hits a wooden block. The melting point is \(600\text{ }\text{K}\), and the total work done is 625 J. If the specific heat capacity is \(0.442\text{ }\text{J/g}{⋅}^{∘}\text{C}\) and the latent heat is \(247\text{ }\text{J/g}\), find the mass of the bullet.(shift 1 Memory based)

Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K . Keeping the temperature of one vessel constant at 400 K the second vessel temperature is raised to 500 K . The final pressure in the vessels is ______ kPa .

[JEE Main 2026, 6 Apr (Shift 1)]

Two spherical black bodies of radii \(0.8\text{ }\text{m}\) and \(0.2\text{ }\text{m}\) are at temperatures of \(400\text{ }\text{K}\) and \(800\text{ }\text{K}\), respectively. Find the ratio of the rate of heat loss from the two bodies.

(Shift I Memory based)

Temperature of a body reduces from \(40^{\circ}\) to \(24^{\circ} \mathrm{C}\) in 4 minutes in surrounding of \(16^{\circ} \mathrm{C}\). What is the temperature of body after further 4 minutes?

(Shift - II Memory based)

The temperature of a metal strip having coefficient of linear expansion \(\alpha\) is increased from \({\mathrm{T}}_{1}\) to \({\mathrm{T}}_{2}\) resulting in increase of its length by \(\Delta {L}_{1}\). The temperature is further increased from \({T}_{2}\) to \({T}_{3}\) such that the increase in its length is \(\Delta {\mathrm{L}}_{2}\).
Given \({\mathrm{T}}_{3}+{\mathrm{T}}_{1}=2{\mathrm{T}}_{2}\) and \({\mathrm{T}}_{2}-{\mathrm{T}}_{1}=\Delta \mathrm{T}\), the value of \(\Delta {\mathrm{L}}_{2}\) is ________

[04 April, 2026 (Shift-II)]

What amount of heat is required to convert \(1\text{ }\text{gm}\) of ice at \(−1{0}^{∘}\text{C}\) into steam at \(11{0}^{∘}\text{C}\)?

(Shift I Memory Based)

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 \(\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^{2}\), specific heat of water \(=4200\mathrm{J}/(\mathrm{kgK})\) )

[JEE Main 2025, 8 Apr (Shift 1)]

What amount of heat is required to convert \(1\text{ }\text{gm}\) of ice at \(−1{0}^{∘}\text{C}\) into steam at \(11{0}^{∘}\text{C}\)?

(Shift I Memory Based)

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

[JEE Main 2025, 24 Jan (Shift 2)]

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 is 400 K . If the energy radiated from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding temperature to be negligible)

[JEE Main 2025, 22 Jan (Shift 1)]

The correct relation between the degrees of freedom f and the ratio of specific heat \(\gamma\)

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have;

Temperature of a body reduces from \(40^{\circ}\) to \(24^{\circ} \mathrm{C}\) in 4 minutes in surrounding of \(16^{\circ} \mathrm{C}\). What is the temperature of body after further 4 minutes?

(Shift - II Memory based)

Consider a rectangular sheet of solid material of length \(\mathrm{ℓ}=9\mathrm{cm}\) and width \(\mathrm{d}=4\mathrm{cm}\). The coefficient of linear expansion is \(\alpha =3.1\times {10}^{-5}{\mathrm{K}}^{-1}\) at room temperature and one atmospheric pressure. The mass of sheet \(\mathrm{m}=0.1\mathrm{kg}\) and the specific heat capacity \({\mathrm{C}}_{\mathrm{v}}=900\mathrm{J}{\mathrm{kg}}^{-1}{\mathrm{K}}^{-1}\). If the amount of heat supplied to the material is \(8.1\times {10}^{2}\mathrm{J}\) then change in area of the rectangular sheet is :-

[JEE Main 2025, 4 Apr (Shift 2)]

A cup of coffee take a time ' t' to cool from \(90^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\) in a surrounding of \(20^{\circ} \mathrm{C}\). If a similar cup of coffee is cooled from \(80^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) in the same surrounding, it takes a time

(Shift - II Memory Based)

An amount of ice of mass \({10}^{-3}\mathrm{kg}\) and temperature \(-10^\circ \mathrm{C}\) is transformed to vapour of temperature \(110^\circ \mathrm{C}\) by applying heat. The total amount of work required for this conversion is,
(Take, specific heat of ice \(=2100{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), specific heat of water \(=4180{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), specific heat of steam \(=1920{\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}\), Latent heat of ice \(=3.35\times {10}^{5}{\mathrm{Jkg}}^{-1}\) and Latent heat of steam \(=2.25\times {10}^{6}\) \({\mathrm{Jkg}}^{-1}\) )

[JEE Main 2025, 22 Jan (Shift 1)]

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

[JEE Main 2025, 29 Jan (Shift 2)]

Temperature of a body reduces from \(40^{\circ}\) to \(24^{\circ} \mathrm{C}\) in 4 minutes in surrounding of \(16^{\circ} \mathrm{C}\). What is the temperature of body after further 4 minutes?

(Shift - II Memory based)

A bullet at \(300\text{ }\text{K}\) hits a wooden block. The melting point is \(600\text{ }\text{K}\), and the total work done is 625 J. If the specific heat capacity is \(0.442\text{ }\text{J/g}{⋅}^{∘}\text{C}\) and the latent heat is \(247\text{ }\text{J/g}\), find the mass of the bullet.(shift 1 Memory based)

Two spherical bodies of same materials having radiii 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 is 400 K . If the energy radiated from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding temperature to be negligible),

[JEE Main 2025, 22 Jan (Shift 1)]

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

A metal ball of mass \(0.1 kg\) is heated upto \(500^{\circ} C\) and dropped into a vessel of heat capacity \(800 JK ^{-1}\) and containing \(0.5 kg\) water. The initial temperature of water and vessel is \(30^{\circ} C\). What is the approximate percentage increment in the temperature of the water? [Specific heat Capacitites of water and metal are, respectively \(4200 Jkg ^{-1} K ^{-1}\) and \(400 Jkg ^{-1} K ^{-1}\) ]

A bullet of mass \(5 g\), traveling with a speed of \(210 m / s\), strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet while the other half is converted into heat in the wood. The rise of temperature of the bullet if the specific heat of its material is \(0.030 cal /\left( g -{ }^{\circ} C \right)\) (1 cal \(=4.2 \times 10^7\) ergs) close to: \(\quad\)

[JEE Main 2020, 5 Sep (Shift 1)]

A bakelite beaker has volume capacity of \( 500 \mathrm{cc} \) at \( 30^{\circ} \mathrm{C} \). When it is partially filled with \( \mathrm{V}_{\mathrm{m}} \) volume (at \( 30^{\circ} \mathrm{C} \) ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If \( \gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1} \) and \( \gamma_{\text {(mercury) }}=1.5 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1} \), where \( \gamma \) is the coefficient of volume expansion, then \( \mathrm{V}_{\mathrm{m}} \) (in cc) is close to __________.

[JEE Main 2020, 3 Sep (Shift 1)]

Two identical metal of thermal conductivities \(K_1\) and \(K_2\) respectively are connected in series. The effective thermal conductivity of the combination is:

[JEE Main 2021, 25 July (Shift 1)]

The height of victoria falls is \(63 m\). What is the difference in temperature of water at the top and at the bottom of fall?
[Given \(1 cal =4.2 J\) and specific heat of water \(=1{\mathrm{calg}}^{-1}^\circ {\mathrm{C}}^{-1}\) ]

Two thin metallic spherical shells of radii \( r_{1} \) and \( r_{2}\left(r_{1}

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 developed in it.

Reason R: On heating, the length of the rod increases.
In the light of the above statements, choose the correct answer from the options given below.

[JEE Main 2021, 25 Feb (Shift 1)]

Heat energy of \(184 kJ\) is given to a block of ice of mass \(600 g\) at \(-12^{\circ} C\), Specific heat of ice is \(2222.3 J kg ^{-1{ }^{\circ}} C ^{-1}\) and latent heat of ice in \(336 kJ / kg ^{-1}\)
A. Final temperature of the system will be \(0^{\circ} C\).
B. Final temperature of the system will be greater than \(0^{\circ} C\).
C. The final system will have a mixture of ice and water in the ratio of \(5: 1\).
D. The final system will have a mixture of ice and water in the ratio of \(1: 5\).
E. The final system will have water only.

Choose the correct answer from the options given below:

The temperature of equal masses of three different liquids \(x, y\) and \(z\) are \(10^{\circ} C , 20^{\circ} C\) and \(30^{\circ} C\) respectively. The temperature of mixture when \(x\) is mixed with \(y\) is \(16^{\circ} C\) and that when \(y\) is mixed with \(z\) is \(26^{\circ} C\). The temperature of mixture when \(x\) and \(z\) are mixed will be:

Two identical metal of thermal conductivities \(K_1\) and \(K_2\) respectively are connected in series. The effective thermal conductivity of the combination is:

[JEE Main 2021, 17 Mar (Shift 1)]

A bullet of mass \(5 g\), traveling with a speed of \(210 m / s\), strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet while the other half is converted into heat in the wood. The rise of temperature of the bullet if the specific heat of its material is \(0.030 cal /\left( g -{ }^{\circ} C \right)\) (1 cal \(=4.2 \times 10^7\) ergs) close to: \(\quad\)

A body cools in 7 minutes from 60ºC to \(40^\circ C\). The temperature of the surrounding is 10ºC. The temperature of the after the next 7 minutes will be:

[JEE Main 2023, 6 Apr (Shift 2)]

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 developed in it.

Reason R: On heating, the length of the rod increases.
In the light of the above statements, choose the correct answer from the options given below

[JEE Main 2021, 25 Feb (Shift 1)]

The height of victoria falls is \(63 m\). What is the difference in temperature of water at the top and at the bottom of fall?
[Given \(1 cal =4.2 J\) and specific heat of water \(=1{\mathrm{calg}}^{-1}^\circ {\mathrm{C}}^{-1}\) ]

[JEE Main 2021, 27 Aug (Shift 2)]