Heat and Thermodynamics
486 Questions
2019
JEE Mains
MCQ
JEE Main 2019 (Online) 9th January Morning Slot
A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in a container. The ratio of their rms speeds $\left[ {{{{V_{rms}}\,(helium)} \over {{V_{rms}}\,(\arg on)}}} \right],$ is close to :
A.
3.16
B.
0.32
C.
0.45
D.
2.24
2019
JEE Mains
MCQ
JEE Main 2019 (Online) 9th January Morning Slot
A gas can be taken from A to B via two different processes ACB and ADB.
When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat Flow into the system in path ADB is :
When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat Flow into the system in path ADB is :
A.
40 J
B.
80 J
C.
100 J
D.
20 J
2019
JEE Mains
MCQ
JEE Main 2019 (Online) 9th January Morning Slot
A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $\alpha $/oC. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta $TK. Young's modulus, Y, for this metal is :
A.
${F \over {A\alpha \Delta T}}$
B.
${F \over {A\alpha (\Delta T - 273)}}$
C.
${F \over {2A\alpha \Delta T}}$
D.
${{2F} \over {A\alpha \Delta T}}$
2019
JEE Mains
MCQ
JEE Main 2019 (Online) 9th January Morning Slot
Temperature difference of 120oC is maintained between ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and length ${{3L} \over 2},$ is connected across AB (see figure). In steady state, temperature difference between P and Q will be close to :
A.
45oC
B.
75oC
C.
60oC
D.
35oC
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 16th April Morning Slot
One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature attained by the gas along the path BC is given by :
A.
${{25} \over {16}}\,{{{P_o}{V_o}} \over R}$
B.
${{25} \over {8}}\,{{{P_o}{V_o}} \over R}$
C.
${{25} \over {4}}\,{{{P_o}{V_o}} \over R}$
D.
${{5} \over {8}}\,{{{P_o}{V_o}} \over R}$
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 16th April Morning Slot
Two moles of helium are mixed with n moles of hydrogen. If ${{Cp} \over {Cv}} = {3 \over 2}$ for the mixture, then the value of n is :
A.
1
B.
3
C.
2
D.
3 / 2
2018
JEE Mains
MCQ
JEE Main 2018 (Offline)
Two moles of an ideal monatomic gas occupies a volume V at 27oC. The gas expands adiabatically to a
volume 2 V. Calculate (a) the final temperature of the gas and (b) change in its internal energy.
A.
(a) 195 K (b) 2.7 kJ
B.
(a) 189 K (b) 2.7 kJ
C.
(a) 195 K (b) –2.7 kJ
D.
(a) 189 K (b) – 2.7 kJ
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 15th April Evening Slot
The value closest to the thermal velocity of a Helium atom at room temperature (300 K) in ms-1 is :
[kB =1.4 $ \times $ 10-23 J/K; mHe = 7 $ \times $ 10 -27 kg ]
[kB =1.4 $ \times $ 10-23 J/K; mHe = 7 $ \times $ 10 -27 kg ]
A.
1.3 $ \times $ 104
B.
1.3 $ \times $ 103
C.
1.3 $ \times $ 105
D.
1.3 $ \times $ 102
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 15th April Evening Slot
Two Carnot engines A and B are operated in series. Engine A receives heat from a reservoir at 600 K and rejects heat to a reservoir at temperature T. Engine B receives heat rejected by engine A and in turn rejects it to a reservoir at 100 K. If the efficiencies of the two energies A and B are represented by ${\eta _A}$ and ${\eta _B},$ respectively, then what is the value of ${{{\eta _B}} \over {{\eta _A}}}$ ?
A.
${{12} \over 7}$
B.
${{7} \over 12}$
C.
${{12} \over 5}$
D.
${{5} \over 12}$
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 15th April Morning Slot
A Carnot's engine works as a refrigerator between $250$ K and $300$ K. It receives $500$ cal heat from the reservoir at the lower temperature. The amount of work done in each cycle to operate the refrigerator is :
A.
$420$ $J$
B.
$772$ $J$
C.
$2100$ $J$
D.
$2520$ $J$
2018
JEE Mains
MCQ
JEE Main 2018 (Online) 15th April Morning Slot
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, ${27^ \circ }C.$ The work done on the gas will be :
A.
$300$ $R$
B.
$300$ $R$ $ln$ $6$
C.
$300$ $R$ $ln$ $2$
D.
$300$ $R$ $ln$ $7$
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 9th April Morning Slot
N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?
A.
${1 \over 2}$ nRT
B.
0
C.
${3 \over 2}$ nRT
D.
${5 \over 2}$ nRT
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 9th April Morning Slot
A steel rail of length 5 m and area of cross section 40cm2
is prevented from expanding along its length while the temperature rises
by 10oC. If coefficient of linear expansion and Young’s modulus of steel are 1.2×10−5 K−1 and 2×1011 Nm−2 respectively, the force developed in the rail is approximately :
A.
2 $ \times $ 107 N
B.
1 $ \times $ 105 N
C.
2 $ \times $ 109 N
D.
3 $ \times $ 10$-$5 N
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 9th April Morning Slot
For the P-V diagram given for an ideal gas,
out of the following which one correctly represents the T-P diagram ?
out of the following which one correctly represents the T-P diagram ?
A.
B.
C.
D.
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 8th April Morning Slot
In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150oC. Immediately, it is put into water of volume 150 cc at 27oC kept in a calorimeter of water equivalent to 0.025 kg. Final temperature of the system is 40oC. The specific heat of aluminium is : (take 4.2 Joule = 1 calorie)
A.
378 J/kg $-$oC
B.
315 J/kg $-$oC
C.
476 J/kg $-$oC
D.
434 J/kg $-$oC
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 8th April Morning Slot
An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is :
(Take Cv = 1.5 R, where R is gas constant)
A.
0.24
B.
0.15
C.
0.32
D.
0.08
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 8th April Morning Slot
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by $\Delta $T. The net change in its length is zero. Let $\ell $ be the length of the rod, A its area of cross-section,Y its Young’s modulus, and $\alpha $ its coefficient of linear expansion. Then, F is equal to :
A.
$\ell $2 Y$\alpha $ $\Delta $T
B.
$\ell $A Y$\alpha $ $\Delta $T
C.
A Y$\alpha $ $\Delta $T
D.
${{AY} \over {\alpha \,\Delta T}}$
2017
JEE Mains
MCQ
JEE Main 2017 (Online) 8th April Morning Slot
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (Cp ) and at constant volume (Cv) is :
A.
6
B.
${7 \over 2}$
C.
${5 \over 2}$
D.
${7 \over 5}$
2017
JEE Mains
MCQ
JEE Main 2017 (Offline)
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm,
filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to
be 75oC. T is given by: (Given : room temperature = 30oC, specific heat of copper = 0.1 cal/gmoC)
A.
825oC
B.
800oC
C.
885oC
D.
1250oC
2017
JEE Mains
MCQ
JEE Main 2017 (Offline)
An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the
bulk modulus of the material of the cube and $\alpha$ is its coefficient of linear expansion. Suppose we want to
bring the cube to its original size by heating. The temperature should be raised by:
A.
${P \over {3\alpha K}}$
B.
${P \over {\alpha K}}$
C.
${3 \alpha \over {P K}}$
D.
3PK$\alpha$
2017
JEE Mains
MCQ
JEE Main 2017 (Offline)
The temperature of an open room of volume 30 m3 increases from 17oC to 27oC due to the sunshine. The atmospheric pressure in the room remains 1 $ \times $ 105 Pa. If Ni
and Nf are the number of molecules in the room
before and after heating, then Nf – Ni will be :
A.
- 1.61 $ \times $ 1023
B.
1.38 $ \times $ 1023
C.
2.5 $ \times $ 1025
D.
- 2.5 $ \times $ 1025
2017
JEE Mains
MCQ
JEE Main 2017 (Offline)
CP and Cv are specific heats at constant pressure and constant volume respectively. It is observed that
CP – Cv = a for hydrogen gas
CP – Cv = b for nitrogen gas
The correct relation between a and b is
CP – Cv = a for hydrogen gas
CP – Cv = b for nitrogen gas
The correct relation between a and b is
A.
a = 28 b
B.
a = 1/14 b
C.
a = b
D.
a = 14 b
2016
JEE Mains
MCQ
JEE Main 2016 (Online) 10th April Morning Slot
A Carnot freezer takes heat from water at 0oC inside it and rejects it to the room at a temperature of 27oC. The latent heat of ice is 336×103 J kg−1. If 5 kg of water at 0oC is converted into ice at 0oC by the freezer, then the energy consumed by the freezer is close to :
A.
1.67 $ \times $ 105 J
B.
1.68 $ \times $ 106 J
C.
1.51 $ \times $ 105 J
D.
1.71 $ \times $ 107 J
2016
JEE Mains
MCQ
JEE Main 2016 (Online) 10th April Morning Slot
Which of the following shows the correct relationship between the pressure ‘P’ and density $\rho $ of an ideal gas at constant temperature ?
A.
B.
C.
D.
2016
JEE Mains
MCQ
JEE Main 2016 (Online) 9th April Morning Slot
A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is increased and the corresponding change in its time period is
plotted against its temperature, the resulting graph is a line of slope S. If the
coefficient of linear expansion of metal is $\alpha $ then the value of S is :
A.
$\alpha $
B.
${\alpha \over 2}$
C.
2$\alpha $
D.
${1 \over \alpha }$
2016
JEE Mains
MCQ
JEE Main 2016 (Online) 9th April Morning Slot
200 g water is heated from 40oC to 60oC. Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water = 4184 J/kg/K) :
A.
8.4 kJ
B.
4.2 kJ
C.
16.7 kJ
D.
167.4 kJ
2016
JEE Mains
MCQ
JEE Main 2016 (Online) 9th April Morning Slot
The ratio of work done by an ideal monoatomic gas to the heat supplied to it
in an isobaric process is :
A.
${3 \over 5}$
B.
${2 \over 3}$
C.
${3 \over 2}$
D.
${2 \over 5}$
2016
JEE Mains
MCQ
JEE Main 2016 (Offline)
$'n'$ moles of an ideal gas undergoes a process $A$ $ \to $ $B$ as shown in the figure. The maximum temperature of the gas during the process will be :
A.
${{9{P_0}{V_0}} \over {2nR}}$
B.
${{9{P_0}{V_0}} \over {nR}}$
C.
${{9{P_0}{V_0}} \over {4nR}}$
D.
${{3{P_0}{V_0}} \over {2nR}}$
2016
JEE Mains
MCQ
JEE Main 2016 (Offline)
A pendulum clock loses $12$ $s$ a day if the temperature is ${40^ \circ }C$ and gains $4$ $s$ a day if the temperature is ${20^ \circ }C.$ The temperature at which the clock will show correct time, and the co-efficient of linear expansion $\left( \alpha \right)$ of the metal of the pendulum shaft are respectively :
A.
${30^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 3}}/{}^ \circ C$
B.
${55^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 2}}/{}^ \circ C$
C.
${25^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 5}}/{}^ \circ C$
D.
${60^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 4}}/{}^ \circ C$
2016
JEE Mains
MCQ
JEE Main 2016 (Offline)
An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $C$ remains constant. If during this process the relation of pressure $P$ and volume $V$ is given by $P{V^n} = $ constant, then $n$ is given by (Here ${C_p}$ and ${C_v}$ are molar specific heat at constant pressure and constant volume, respectively:
A.
$n = {{{C_p} - C} \over {C - {C_v}}}$
B.
$n = {{C - {C_v}} \over {C - {C_p}}}$
C.
$n = {{{C_p}} \over {{C_v}}}$
D.
$n = {{C - {C_p}} \over {C - {C_v}}}$
2015
JEE Mains
MCQ
JEE Main 2015 (Offline)
Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as ${V^q},$ where $V$ is the volume of the gas. The value of $q$ is: $\left( {\gamma = {{{C_p}} \over {{C_v}}}} \right)$
A.
${{\gamma + 1} \over 2}$
B.
${{\gamma - 1} \over 2}$
C.
${{3\gamma + 5} \over 6}$
D.
${{3\gamma - 5} \over 6}$
2015
JEE Mains
MCQ
JEE Main 2015 (Offline)
A solid body of constant heat capacity $1$ $J/{}^ \circ C$ is being heated by keeping it in contact with reservoirs in two ways:
$(i)$ Sequentially keeping in contact with $2$ reservoirs such that each reservoir
$\,\,\,\,\,\,\,\,$supplies same amount of heat.
$(ii)$ Sequentially keeping in contact with $8$ reservoirs such that each reservoir
$\,\,\,\,\,\,\,\,\,\,$supplies same amount of heat.
In both the cases body is brought from initial temperature ${100^ \circ }C$ to final temperature ${200^ \circ }C$. Entropy change of the body in the two cases respectively is :
$(i)$ Sequentially keeping in contact with $2$ reservoirs such that each reservoir
$\,\,\,\,\,\,\,\,$supplies same amount of heat.
$(ii)$ Sequentially keeping in contact with $8$ reservoirs such that each reservoir
$\,\,\,\,\,\,\,\,\,\,$supplies same amount of heat.
In both the cases body is brought from initial temperature ${100^ \circ }C$ to final temperature ${200^ \circ }C$. Entropy change of the body in the two cases respectively is :
A.
$ln2, 2ln2$
B.
$2ln2, 8ln2$
C.
$ln2, 4ln2$
D.
$ln2, ln2$
2015
JEE Mains
MCQ
JEE Main 2015 (Offline)
Consider a spherical shell of radius $R$ at temperature $T$. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume $u = {U \over V}\, \propto \,{T^4}$ and pressure $p = {1 \over 3}\left( {{U \over V}} \right)$ . If the shell now undergoes an adiabatic expansion the relation between $T$ and $R$ is:
A.
$T\, \propto {1 \over R}$
B.
$T\, \propto {1 \over {{R^3}}}$
C.
$T\, \propto \,{e^{ - R}}$
D.
$T\, \propto \,{e^{ - 3R}}$
2014
JEE Mains
MCQ
JEE Main 2014 (Offline)
Three rods of Copper, Brass and Steel are welded together to form a $Y$ shaped structure. Area of cross - section of each rod $ = 4c{m^2}.$ End of copper rod is maintained at ${100^ \circ }C$ where as ends of brass and steel are kept at ${0^ \circ }C$. Lengths of the copper, brass and steel rods are $46,$ $13$ and $12$ $cms$ respectively. The rods are thermally insulated from surroundings excepts at ends. Thermal conductivities of copper, brass and steel are $0.92, 0.26$ and $0.12$ $CGS$ units respectively. Rate of heat flow through copper rod is:
A.
$1.2$ $cal/s$
B.
$2.4$ $cal/s$
C.
$4.8$ $cal/s$
D.
$6.0$ $cal/s$
2014
JEE Mains
MCQ
JEE Main 2014 (Offline)
One mole of a diatomic ideal gas undergoes a cyclic process $ABC$ as shown in figure. The process $BC$ is adiabatic. The temperatures at $A, B$ and $C$ are $400$ $K$, $800$ $K$ and $600$ $K$ respectively. Choose the correct statement :
A.
The change in internal energy in whole cyclic process is $250$ $R.$
B.
The change in internal energy in the process $CA$ is $700$ $R$.
C.
The change in internal energy in the process $AB$ is - $350$ $R.$
D.
The change in internal energy in the process $BC$ is - $500$ $R.$
2013
JEE Mains
MCQ
JEE Main 2013 (Offline)
The above $p$-$v$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is
A.
${p_0}{v_0}$
B.
$\left( {{{13} \over 2}} \right){p_0}{v_0}$
C.
$\left( {{{11} \over 2}} \right){p_0}{v_0}$
D.
$4{p_0}{v_0}$
2013
JEE Mains
MCQ
JEE Main 2013 (Offline)
Assume that a drop of liquid evaporates by decreases in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible ? The surface tension is $T,$ density of liquid is $\rho $ and $L$ is its latent heat of vaporization.
A.
$\rho L/T$
B.
$\sqrt {T/\rho L} $
C.
$T/\rho L$
D.
$2T/\rho L$
2012
JEE Mains
MCQ
AIEEE 2012
Helium gas goes through a cycle $ABCD$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency of this cycle is nearly : (Assume the gas to be close to ideal gas)
A.
$15.4\% $
B.
$9.1\% $
C.
$10.5\% $
D.
$12.5\% $
2012
JEE Mains
MCQ
AIEEE 2012
A Carnot engine, whose efficiency is $40\% $, takes in heat from a source maintained at a temperature of $500$ $K.$ It is desired to have an engine of efficiency $60\% .$ Then, the intake temperature for the same exhaust (sink) temperature must be :
A.
efficiency of Carnot engine cannot be made larger than $50\% $
B.
$1200$ $K$
C.
$750$ $K$
D.
$600$ $K$
2012
JEE Mains
MCQ
AIEEE 2012
A wooden wheel of radius $R$ is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area $S$ and length $L.$ $L$ is slightly less than $2\pi R.$ To fit the ring on the wheel, it is heated so that its temperature rises by $\Delta T$ and it just steps over the wheel. As it cools down to surrounding temperature, it process the semicircular parts together. If the coefficient of linear expansion of the metal is $\alpha $, and its Young's modulus is $Y,$ the force that one part of the wheel applies on the other part is :
A.
$2\pi SY\alpha \Delta T$
B.
$SY\alpha \Delta T$
C.
$\pi SY\alpha \Delta T$
D.
$2SY\alpha \Delta T$
2011
JEE Mains
MCQ
AIEEE 2011
A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma .$ It is moving with speed $v$ and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, Its temperature increases by:
A.
${{\left( {\gamma - 1} \right)} \over {2\gamma R}}M{v^2}K$
B.
${{\gamma {M^2}v} \over {2R}}K$
C.
${{\left( {\gamma - 1} \right)} \over {2R}}M{v^2}K$
D.
${{\left( {\gamma - 1} \right)} \over {2\left( {\gamma + 1} \right)R}}M{v^2}K$
2011
JEE Mains
MCQ
AIEEE 2011
Three perfect gases at absolute temperatures ${T_1},\,{T_2}$ and ${T_3}$ are mixed. The masses of molecules are ${m_1},{m_2}$ and ${m_3}$ and the number of molecules are ${n_1},$ ${n_2}$ and ${n_3}$ respectively. Assuming no loss of energy, the final temperature of the mixture is:
A.
${{{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}} \over {{n_1} + {n_2} + {n_3}}}$
B.
${{{n_1}T_1^2 + {n_2}T_2^2 + {n_3}T_3^2} \over {{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}}}$
C.
${{n_1^2T_1^2 + n_2^2T_2^2 + n_3^2T_3^2} \over {{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}}}$
D.
${{\left( {{T_1} + {T_2} + {T_3}} \right)} \over 3}$
2011
JEE Mains
MCQ
AIEEE 2011
$100g$ of water is heated from ${30^ \circ }C$ to ${50^ \circ }C$. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $4184$ $J/kg/K$):
A.
$8.4$ $kJ$
B.
$84$ $kJ$
C.
$2.1$ $kJ$
D.
$4.2$ $kJ$
2011
JEE Mains
MCQ
AIEEE 2011
A Carnot engine operating between temperatures ${{T_1}}$ and ${{T_2}}$ has efficiency ${1 \over 6}$. When ${T_2}$ is lowered by $62$ $K$ its efficiency increases to ${1 \over 3}$. Then ${T_1}$ and ${T_2}$ are, respectively:
A.
$372$ $K$ and $330$ $K$
B.
$330$ $K$ and $268$ $K$
C.
$310$ $K$ and $248$ $K$
D.
$372$ $K$ and $310$ $K$
2010
JEE Mains
MCQ
AIEEE 2010
A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32$ $V$, the efficiency of the engine is
A.
$0.5$
B.
$0.75$
C.
$0.99$
D.
$0.25$
2009
JEE Mains
MCQ
AIEEE 2009
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $\theta $ along the length $x$ of the bar from its hot end is best described by which of the following figures?
A.
B.
C.
D.
2009
JEE Mains
MCQ
AIEEE 2009
Statement - 1: The temperature dependence of resistance is usually given as $R = {R_0}\left( {1 + \alpha \,\Delta t} \right).$ The resistance of wire changes from $100\Omega $ to $150\Omega $ when its temperature is increased from ${27^ \circ }C$ to ${227^ \circ }C$. This implies that $\alpha = 2.5 \times {10^{ - 3}}/C.$
Statement - 2: $R = {R_0}\left( {1 + \alpha \,\Delta t} \right)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta T = \left( {R - {R_0}} \right) < < {R_0}.$
A.
Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation of Statement - 1
B.
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation of Statement - 1
C.
Statement - 1 is false, Statement - 2 is true
D.
Statement - 1 is true, Statement - 2 is false
2009
JEE Mains
MCQ
AIEEE 2009
One $kg$ of a diatomic gas is at a pressure of $8 \times {10^4}\,N/{m^2}.$ The density of the gas is $4kg/{m^3}$. What is the energy of the gas due to its thermal motion ?
A.
$5 \times {10^4}\,J$
B.
$6 \times {10^4}\,J$
C.
$7 \times {10^4}\,J$
D.
$3 \times {10^4}\,J$
2009
JEE Mains
MCQ
AIEEE 2009
Two moles of helium gas are taken over the cycle $ABCD,$ as shown in the $P$-$T$ diagram.
Assuming the gas to be ideal the work done on the gas in taking it from $A$ to $B$ is :
A.
$300$ $R$
B.
$400$ $R$
C.
$500$ $R$
D.
$200$ $R$
2009
JEE Mains
MCQ
AIEEE 2009
Two moles of helium gas are taken over the cycle $ABCD,$ as shown in the $P$-$T$ diagram.
The work done on the gas in taking it from $D$ to $A$ is :
A.
$+414$ $R$
B.
$-690$ $R$
C.
$+690$ $R$
D.
$-414$ $R$