Heat and Thermodynamics · Physics · AP EAPCET

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MCQ (Single Correct Answer)

1
A slab consists of two identical plates of copper and brass. The free face of the brass is at $0^{\circ} \mathrm{C}$ and that of copper at $100^{\circ} \mathrm{C}$. If the thermal conductivities of brass and copper are in the ratio $1: 4$, then the temperature of interface is
AP EAPCET 2024 - 21th May Morning Shift
2
A monoatomic gas of $n$ moles is heated from temperature $T_1$ to $T_2$ under two different conditions, (i) at constant volume and (ii) at constant pressure. The change in internal energy of the gas is
AP EAPCET 2024 - 21th May Morning Shift
3
In a Carnot engine, when the temperatures are $T_2=0^{\circ} \mathrm{C}$ and $T_1=200^{\circ} \mathrm{C}$, its efficiency is $\eta_1$ and when the temperature are $T_1=0^{\circ} \mathrm{C}$ and $T_2=-200^{\circ} \mathrm{C}$, its efficiency is $\eta_2$. Then, the value of $\frac{\eta_1}{\eta_2}$ is
AP EAPCET 2024 - 21th May Morning Shift
4

Heat energy absorbed by a system going through the cyclic process shown in the figure is

AP EAPCET 2024 - 21th May Morning Shift Physics - Heat and Thermodynamics Question 1 English
AP EAPCET 2024 - 21th May Morning Shift
5
A polyatomic gas with $n$ degrees of freedom has a mean kinetic energy per molecule given by (if $N$ is Avogadro's number )
AP EAPCET 2024 - 21th May Morning Shift
6
The absorption coefficient value of a perfect black body is
AP EAPCET 2024 - 20th May Evening Shift
7
A certain volume of a gas at 300 K expands adiabatically until its volume is doubled. The resultant fall in temperature of the gas is nearly (The ratio of the specific heats of the gas $=1.5$ )
AP EAPCET 2024 - 20th May Evening Shift
8
The efficiency of a Carnot's engine is $25 \%$. When the temperature of sink is 300 K . The increase in the temperature of source required for the efficiency to become $50 \%$ is
AP EAPCET 2024 - 20th May Evening Shift
9
When 100 J of heat is supplied to a gas, the increase in the internal energy of the gas is 60 J . Then the gas is /can
AP EAPCET 2024 - 20th May Evening Shift
10
An ideal gas is kept in a cylinder of volume $3 \mathrm{~m}^3$ at a pressure of $3 \times 10^5 \mathrm{~Pa}$. The energy of the gas is
AP EAPCET 2024 - 20th May Evening Shift
11
The temperature difference across two cylindrical rods $A$ and $B$ of same material and same mass are $40^{\circ} \mathrm{C}$ and $60^{\circ} \mathrm{C}$ respectively. In steady state, if the rates of flow of heat through the rods $A$ and $B$ are in the ratio 3:8, the ratio of the length of the rods $A$ and $B$ is
AP EAPCET 2024 - 20th May Morning Shift
12
The efficiency of Carnot cycle is $\frac{1}{6}$. By lowering the temperature of sink by 65 K , it increases to $\frac{1}{3}$. The initial and final temperature of the sink are
AP EAPCET 2024 - 20th May Morning Shift
13
In a cold storage ice melts at the rate of 2 kg per hour when the external temperature is $20^{\circ} \mathrm{C}$. The minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting is (latent heat of fusion of ice $=80 \mathrm{calg}^{-1}$ )
AP EAPCET 2024 - 20th May Morning Shift
14
A Carnot engine has the same efficiency between 800 K and 500 K and $x>600 \mathrm{~K}$ and 600 K . The value of $x$ is
AP EAPCET 2024 - 20th May Morning Shift
15
When the temperature of a gas is raised from $27^{\circ} \mathrm{C}$ to $90^{\circ} \mathrm{C}$. The increase in the rms velocity of the gas molecule is
AP EAPCET 2024 - 20th May Morning Shift
16
If ambient temperature is 300 K , the rate of cooling at 600 K is $H$. In the same surroundings, the rate of cooling at 900 K is
AP EAPCET 2024 - 19th May Evening Shift
17
An ideal heat engine operates in Carnot cycle between $127^{\circ} \mathrm{C}$ and $27^{\circ} \mathrm{C}$. It absorbs $5 \times 10^4 \mathrm{Cal}$ of heat at height temperature. Amount of heat converted to work is
AP EAPCET 2024 - 19th May Evening Shift
18
One mole of a gas having $\gamma=\frac{7}{5}$ is mixed with one mole of a gas having $\gamma=\frac{4}{3}$. The value of $\gamma$ for the mixture is ( $\gamma$ is the ratio of the specific heats of the gas)
AP EAPCET 2024 - 19th May Evening Shift
19
A Carnot heat engine has an efficiency of $10 \%$. If the same engine is worked backward to obtain a refrigerator, then the coefficient of performance of the refrigerator is
AP EAPCET 2024 - 19th May Evening Shift
20
The rms velocity of a gas molecules oí mass $m$ at a given temperature is proportional to
AP EAPCET 2024 - 19th May Evening Shift
21
Match the following.
(a) Thermal conductivity (i) $\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]$
(b) Boltzmann constant (ii) $\left[M^0 L^2 T^{-2} K^{-1}\right]$
(c) Latent heat (iii) $\left[M L^2 T^{-2} K^{-1}\right]$
(d) Specific heat (iv) $\left[M^0 L^2 T^{-2}\right]$
AP EAPCET 2024 - 18th May Morning Shift
22
The length of a metal bar is 20 cm and the ares of cross-section is $4 \times 10^{-4} \mathrm{~m}^2$. If one end of the rod is kept in ice at $0^{\circ} \mathrm{C}$ and the other end is kept in steamat $100^{\circ} \mathrm{C}$, the mass of ice melted in one minute is 5 g , the thermal conductivity of the matal in $\mathrm{Wm}^{-1} \mathrm{~K}^{-1}$ is (Latent heat of fusion $=80 \mathrm{cal} / \mathrm{g}$ )
AP EAPCET 2024 - 18th May Morning Shift
23
The work done by an ideal gas of 2 moles in increasins its volume from $V$ to 2 V at constant temperature $T$ is V . The work done by an ideal gas of 4 moles in increasits its wolume from $V$ to $8 V$ at constant temperature $\frac{T}{2}$ is
AP EAPCET 2024 - 18th May Morning Shift
24
When 403 of heat is absorbed by a monoatomic gas the increase in the internal energy of the gas is
AP EAPCET 2024 - 18th May Morning Shift
25
In a Carnot engine, the absolute temperature of the source is $25 \%$ more than the absolute temperature of the sink. The efficiency of the engine is
AP EAPCET 2024 - 18th May Morning Shift
26
The molar specific heat capacity of a diatomic gas at constant pressure is $C$. The molar specific heat capadtr of a monoatomic gas at constant volume is
AP EAPCET 2024 - 18th May Morning Shift
27

5 g of ice at $$-30^{\circ} \mathrm{C}$$ and 20 g of water at $$35^{\circ} \mathrm{C}$$ are mixed together in a calorimeter. The final temperature of the mixture is (Neglect heat capacity of the calorimeter, specific heat capacity of ice $$=0.5 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}$$ and latent heat of fusion of ice $$=80 \mathrm{cal} \mathrm{g}^{-1}$$ and specific heat. capacity of water $$=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}$$)

AP EAPCET 2022 - 5th July Morning Shift
28

An iron sphere having diameter $$D$$ and mass $$M$$ is immersed in hot water so that the temperature of the sphere increases by $$\delta T$$. If $$\alpha$$ is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

AP EAPCET 2022 - 5th July Morning Shift
29

The work done by a Carnot engine operating between 300 K and 400 K is 400 J. The energy exhausted by the engine is

AP EAPCET 2022 - 5th July Morning Shift
30

The slopes of the isothermal and adiabatic $$p-V$$ graphs of a gas are by $$S_I$$ and $$S_A$$ respectively. If the heat capacity ratio of the gas is $$\frac{3}{2}$$, then $$\frac{S_I}{S_A}=$$

AP EAPCET 2022 - 5th July Morning Shift
31

The number of rotational degrees of freedom of a diatomic molecule

AP EAPCET 2022 - 5th July Morning Shift
32

A metal tape is calibrated at $$25^{\circ} \mathrm{C}$$. On a cold day when the temperature is $$-15^{\circ} \mathrm{C}$$, the percentage error in the measurement of length is

(Coefficient of linear expansion of metal $$=1 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$$)

AP EAPCET 2022 - 4th July Evening Shift
33

A gas is expanded from an initial state to a final state along a path on a $$p$$-$$V$$ diagram. The path consists of (i) an isothermal expansion of work 50 J , (ii) an adiabatic expansion and (iii) an isothermal expansion of work 20 J . If the internal energy of gas is changed by $$-$$30 J , then the work done by gas during adiabatic expansion is

AP EAPCET 2022 - 4th July Evening Shift
34

The temperature of the sink of a Carnot engine is 250 K . In order to increase the efficiency of the Carnot engine from $$25 \%$$ to $$50 \%$$, the temperature of the sink should be increased by

AP EAPCET 2022 - 4th July Evening Shift
35

In non-rigid diatomic molecule with an additional vibrational mode

AP EAPCET 2022 - 4th July Evening Shift
36

A sphere of surface area $$4 \mathrm{~m}^2$$ at temperature 400 K and having emissivity 0.5 is located in an environment of temperature 200 K. The net rate of energy exchange of the sphere is (Stefan Boltzmann constant, $$\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^4)$$

AP EAPCET 2022 - 4th July Morning Shift
37

A Carnot engine operates between a source and a sink. The efficiency of the engine is $$40 \%$$ and the temperature of the sink is $$27^{\circ} \mathrm{C}$$. If the efficiency is to be increased to $$50 \%$$, then the temperature of the source must be increased by

AP EAPCET 2022 - 4th July Morning Shift
38

A car engine has a power of 20 kW. The car makes a roundtrip of 1 h. If the thermal efficiency of the engine is $$40 \%$$ and the ambient temperature is 300 K . The energy generated by fuel combustion is

AP EAPCET 2022 - 4th July Morning Shift
39

The number of vibrational degree of freedom of a diatomic molecule is

AP EAPCET 2022 - 4th July Morning Shift
40

Boiling water is changing into steam. The specific heat of boiling water is

AP EAPCET 2021 - 20th August Morning Shift
41

If the volume of a block of metal changes by $$0.12 \%$$ when heated through $$20^{\circ} \mathrm{C}$$, then find its coefficient of linear expansion.

AP EAPCET 2021 - 20th August Morning Shift
42

Isothermal process is the graph between

AP EAPCET 2021 - 20th August Morning Shift
43

For a monoatomic ideal gas is following the cyclic process ABCA shown in the U versus p plot, identify the incorrect option.

AP EAPCET 2021 - 20th August Morning Shift Physics - Heat and Thermodynamics Question 41 English

AP EAPCET 2021 - 20th August Morning Shift
44

The pressure of a gas is proportional to

AP EAPCET 2021 - 20th August Morning Shift
45

Expansion during heating

AP EAPCET 2021 - 19th August Evening Shift
46

Match the following.

Column I Column II
(A) Ratio of change in time-period of a sample pendulum with temperature to its original time period 1. $$\alpha \Delta T$$
(B) Ratio of the value of a length to its scale reading 2. $$T$$
(C) Reciprocal of coefficient of volume expansion for an ideal gas of constant pressure 3. $$(1+\alpha\Delta T)$$
(D) $$\frac{F}{YA}$$ 4. $$\frac{1}{2}\alpha\Delta T$$

AP EAPCET 2021 - 19th August Evening Shift
47

Which of the following is not a reversible process?

AP EAPCET 2021 - 19th August Evening Shift
48

Which one of the graphs below best illustrates the relationship between internal energy U of an ideal gas and temperature T of the gas in K?

AP EAPCET 2021 - 19th August Evening Shift
49

A refrigerator with coefficient of performance 0.25 releases 250 J of heat to a hot reservoir. The work done on the working substance is

AP EAPCET 2021 - 19th August Evening Shift
50

A vessel has 6 g of oxygen at pressure p and temperature 400 K. A small hole is made in it, so that oxygen leaks out. How much oxygen leaks out if the final pressure is p/2 and temperature is 300 K?

AP EAPCET 2021 - 19th August Evening Shift
51

In a steady state, the temperature at the end $$A$$ and end $$B$$ of a $$20 \mathrm{~cm}$$ long rod $$A B$$ are $$100 \Upsilon$$ and $$0^{\circ} \mathrm{C}$$. The temperature of a point $$9 \mathrm{~cm}$$ from $$A$$ is

AP EAPCET 2021 - 19th August Morning Shift
52

If two rods of length $$L$$ and $$2 L$$, having coefficients of linear expansion $$\alpha$$ and $$2 \alpha$$ respectively are connected end-to-end, then find the average coefficient of linear expansion of the composite rod.

AP EAPCET 2021 - 19th August Morning Shift
53

A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are Q$$_1$$, Q$$_2$$ and W$$_1$$, W$$_2$$ respectively, then

AP EAPCET 2021 - 19th August Morning Shift
54

A gas ($$\gamma$$ = 1.5 ) is suddenly compressed to (1/4 )th its initial volume. Then, find the ratio of its final to initial pressure.

AP EAPCET 2021 - 19th August Morning Shift
55

A cylinder has a piston at temperature of $$30 \Upsilon$$C. There is all round clearance of $$0.08 \mathrm{~mm}$$ between the piston and cylinder wall if internal diameter of the cylinder is $$15 \mathrm{~cm}$$. What is the temperature at which piston will fit into the cylinder exactly?

$$\left(\alpha_p=1.6 \times 10^{-5} / \Upsilon\mathrm{C} \text { and } \alpha_c=1.2 \times 10^{-5} / \Upsilon\mathrm{C}\right)$$

AP EAPCET 2021 - 19th August Morning Shift
56

A balloon contains 1500 m$$^3$$ of He at 27$$\Upsilon$$C and 4 atmospheric pressure, the volume of He at $$-3\Upsilon$$C temperature and 2 atmospheric pressure will be

AP EAPCET 2021 - 19th August Morning Shift
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