Heat and Thermodynamics PYQs - Last 10 Years

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Practice 425 MHT CET Physics questions from Heat and Thermodynamics. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Heat and Thermodynamics Questions

Showing 50 of 425 filtered questions.

1Heat And Thermodynamics

In an ideal gas at temperature $T$, the average force that a molecule applies on the walls of a closed container depends on $T$ as $\mathrm{T}^{\mathrm{x}}$. The value of $x$ is

2Heat And Thermodynamics

A cylindrical rod is having temperatures $\theta_1$ and $\theta_2$ at its ends. The rate of heat flow is $\mathrm{Q} J / \mathrm{S}$. All the linear dimensions of the rod are doubled by keeping the temperature constant. The new rate of flow...

3Heat And Thermodynamics

Heat engine operating between temperature $T_1$ and $T_2$ has efficiency $\frac{1}{6}$. When $T_2$ is lowered by 62 K , its efficiency increases to $\frac{1}{3}$. Then $T_1$ and $T_2$ respectively are

4Heat And Thermodynamics

Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature $17^{\circ} \mathrm{C}$. The maximum temperature that can be reached is $45^{\circ} \mathrm{C}$. The gap to be k...

5Heat And Thermodynamics

In an adiabatic process for an ideal gas, the relation between the universal gas constant ' $R$ ' and specific heat at constant volume ' $\mathrm{C}_{\mathrm{v}}$ ' is $R=0.4 C_v$. The pressure ' $P$ ' of the gas is proportional to the temp...

6Heat And Thermodynamics

An insulated container contains a diatomic gas of molar mass ' m '. The container is moving with velocity ' $V$ ', if it is stopped suddenly, the change in temperature is ( $R=$ gas constant)

7Heat And Thermodynamics

Two vessels separately contain two ideal gases A and B at the same temperature, pressure of A being twice that of B . Under such conditions, the density of A is found to be 1.5 times the density of $B$. The ratio of molecular weights of $A$...

8Heat And Thermodynamics

Two gases A and B having same initial state ( $\mathrm{P}, \mathrm{V}, \mathrm{n}, \mathrm{T}$ ). Now gas A is compressed to $\frac{\mathrm{V}}{8}$ by isothermal process and other gas B is compressed to $\frac{\mathrm{V}}{8}$ by adiabatic p...

9Heat And Thermodynamics

Two spheres $S_1$ and $S_2$ have same radii but temperatures $T_1$ and $T_2$ respectively. Their emissive power is same and emissivity in the ratio 1:4. Then the ratio $T_1: T_2$ is

10Heat And Thermodynamics

The $\mathrm{p}-\mathrm{V}$ diagram for a fixed mass of an ideal gas undergoing cyclic process is as shown in figure. AB represents isothermal process and CA represents adiabatic process. Which one of the following graphs represents the p-T...

11Heat And Thermodynamics

The ratio of the velocity of sound in hydrogen gas $\left(\gamma=\frac{7}{5}\right)$ to that in helium gas $\left(\gamma=\frac{5}{3}\right)$ at the same temperature is

12Heat And Thermodynamics

Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic as at temperature ' T ' K . The piston of cylinder A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylin...

13Heat And Thermodynamics

A metal rod having coefficient of linear expansion $2 \times 10^{-5} /^{\circ} \mathrm{C}$ is 0.75 m long at $45^{\circ} \mathrm{C}$. When the temperature rises to $65^{\circ} \mathrm{C}$, the increase in length of the rod will be

14Heat And Thermodynamics

' $N$ ' molecules of gas $A$, each having mass ' $m$ ' and ' 2 N ' molecules of gas B , each of mass ' 2 m ' are contained in the same vessel which is at constant temperature ' T '. The mean square velocity of $B$ is $V^2$ and mean square o...

15Heat And Thermodynamics

What is the pressure of hydrogen in a cylinder of volume 10 litre if its total energy of translation is $7.5 \times 10^3 \mathrm{~J}$ ?

16Heat And Thermodynamics

Which of the following graphs between pressure and volume correctly show isochoric process?

17Heat And Thermodynamics

Initial pressure and volume of a gas are ' P ' and ' $V$ ' respectively. First its volume is expanded to ' 4 V ' by isothermal process and then again its volume is reduced to ' V ' by adiabatic process then its final pressure if $\left(\gam...

18Heat And Thermodynamics

Ordinary bodies P and Q radiate maximum energy with wavelength difference $3 \mu \mathrm{~m}$. The absolute temperature of body P is four times that of Q. The wavelength at which body Q radiates maximum energy is

19Heat And Thermodynamics

The average force applied on the wall of a closed container depends as $\mathrm{T}^{\mathrm{x}}$ where T is the temperature of an ideal gas. The value of $x$ is

20Heat And Thermodynamics

A black sphere has radius $R$ whose rate of radiation is E at temperature T . If radius is made half and temperature 4 T , the rate of radiation will be

21Heat And Thermodynamics

For a gas, $\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0.4$ where R is the universal gas constant and ' $\mathrm{C}_{\mathrm{V}}$ ' is molar specific heat at constant volume. The gas is made up of molecules which are

22Heat And Thermodynamics

An ordinary body cools from ' $4 \theta^{\prime}$ ' to ' $3 \theta^{\prime}$ ' in ' t ' minutes. The temperature of that body after next 't' minutes is (Assume Newton's law of cooling and room temperature is $\theta$)

23Heat And Thermodynamics

Rate of radiation by a black body is ' R ' at temperature 'T'. Another body has same area but emissivity is 0.2 and temperature 3T. Its rate of radiation is

24Heat And Thermodynamics

In a thermodynamic system ' $\Delta \mathrm{U}$ ' represents the increase in internal energy and ' $W$ ' the work done by the system. Which of the following statement is true?

25Heat And Thermodynamics

A Carnot's cycle operating between $T_H=600 \mathrm{~K}$ and $T_c=300 \mathrm{~K}$ produces 1.5 kJ of mechanical work per cycle. The heat transferred to the engine by the reservoir is

26Heat And Thermodynamics

The black discs $\mathrm{x}, \mathrm{y}$ and z have radii $1 \mathrm{~m}, 2 \mathrm{~m}$ and 3 m respectively. The wavelengths corresponding to maximum intensity are $200 \mathrm{~nm}, 300 \mathrm{~nm}$ and 400 nm respectively. The relation...

27Heat And Thermodynamics

According to kinetic theory of gases, which one of the following statements is wrong?

28Heat And Thermodynamics

In a thermodynamic process, there is no exchange of heat between the system and surroundings. Then the thermodynamic process is

29Heat And Thermodynamics

A gas at N.T.P. is suddenly compressed to \(\left(\frac{1}{4}\right)^{\text {th }}\) of its original volume. The final pressure in (Given \(\gamma=\) ratio of sp. heats \(=\frac{3}{2}\) ) atmosphere is ( \(\mathrm{P}=\) original pressure)

30Heat And Thermodynamics

Two uniform brass rods \(A\) and \(B\) of length '\(l\)' and '\(2 l\)' and their radii '\(2 r\)' and '\(r\)' respectively are heated to same temperature. The ratio of the increase in the volume of \(\operatorname{rod} \mathrm{A}\) to that o...

31Heat And Thermodynamics

For a gas having '\(\mathrm{X}\)' degrees of freedom, '\(\gamma\)' is (\(\gamma=\) ratio of specific heats \(=\mathrm{C_P / C_V}\))

32Heat And Thermodynamics

A jar '\(\mathrm{P}\)' is filled with gas having pressure, volume and temperature \(\mathrm{P}, \mathrm{V}, \mathrm{T}\) respectively. Another gas jar \(Q\) filled with a gas having pressure \(2 \mathrm{P}\), volume \(\frac{\mathrm{V}}{4}\)...

33Heat And Thermodynamics

The temperature of an ideal gas is increased from \(27^{\circ} \mathrm{C}\) to \(927^{\circ} \mathrm{C}\). The r.m.s. speed of its molecules becomes

34Heat And Thermodynamics

The side of a copper cube is \(1 \mathrm{~m}\) at \(0^{\circ} \mathrm{C}\). What will be the change in its volume, when it is heated to \(100^{\circ} \mathrm{C}\) ? $$\left[\alpha_{\text {copper }}=18 \times 10^{-6} /{ }^{\circ} \mathrm{C}\...

35Heat And Thermodynamics

The pressure exerted by an ideal gas at a particular temperature is directly proportional to

36Heat And Thermodynamics

A gas is compressed at a constant pressure of \(50 \mathrm{~N} / \mathrm{m}^2\) from a volume of \(10 \mathrm{~m}^3\) to a volume of \(4 \mathrm{~m}^3\). Energy of \(100 \mathrm{~J}\) is then added to the gas by heating. Its internal energy...

37Heat And Thermodynamics

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If \(\gamma=1.5\), then the final pressure is

38Heat And Thermodynamics

An ideal gas in a container of volume 500 c.c. is at a pressure of \(2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^2\). The average kinetic energy of each molecule is \(6 \times 10^{-21} \mathrm{~J}\). The number of gas molecules in the contain...

39Heat And Thermodynamics

The efficiency of a heat engine is '\(\eta\)' and the coefficient of performance of a refrigerator is '\(\beta\)'. Then

40Heat And Thermodynamics

A sphere, a cube and a thin circular plate all made of same material and having the same mass are heated to same temperature of \(200^{\circ} \mathrm{C}\). When these are left in a room.

41Heat And Thermodynamics

The temperature of a gas is \(-68^{\circ} \mathrm{C}\). To what temperature should it be heated, so that the r.m.s. velocity of the molecules be doubled?

42Heat And Thermodynamics

In a thermodynamic system, \(\Delta U\) represents the increases in its internal energy and dW is the work done by the system then correct statement out of the following is

43Heat And Thermodynamics

A body is said to be opaque to the radiation if (a, r and t are coefficient of absorption, reflection and transmission respectively)

44Heat And Thermodynamics

A sphere and a cube, both of copper have equal volumes and are black. They are allowed to cool at same temperature and in same atmosphere. The ratio of their rate of loss of heat will be

45Heat And Thermodynamics

The pressure and density of a diatomic gas \(\left(\gamma=\frac{7}{5}\right)\) changes adiabatically from \((\mathrm{P}, \rho)\) to \(\left(\mathrm{P}^{\prime}, \rho^{\prime}\right)\). If \(\frac{\rho^{\prime}}{\rho}=32\) then $$\frac{\math...

46Heat And Thermodynamics

An ideal refrigerator has freezer at a temperature of \(-13^{\circ} \mathrm{C}\). The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) is

47Heat And Thermodynamics

The temperature of a gas is measure of

48Heat And Thermodynamics

At constant temperature, increasing the pressure of a gas by \(5 \%\) its volume will decrease by

49Heat And Thermodynamics

The molecular mass of a gas having r.m.s. speed four times as that of another gas having molecular mass 32 is

50Heat And Thermodynamics

A metal rod cools at the rate of \(4{ }^{\circ} \mathrm{C} / \mathrm{min}\) whon its temperature is \(90^{\circ} \mathrm{C}\) and the rate of \(1{ }^{\circ} \mathrm{C} / \mathrm{m}{\text {in }}\) when its temperature is $$30^{\circ} \mathrm...