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Q. No.

The value \(\gamma = \frac{C_P}{C_V}\) for hydrogen, helium, and another ideal diatomic gas \(X\) (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to:

1. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{9}{7}\) 2. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{9}{7}\)
3. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{7}{5}\) 4. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{7}{5}\)

Subtopic:  Law of Equipartition of Energy |
 59%
Level 3: 35%-60%
NEET - 2019
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An increase in the temperature of a gas-filled container would lead to:

1. decrease in intermolecular distance.
2. increase in its mass.
3. increase in its kinetic energy.
4. decrease in its pressure.

Subtopic:  Kinetic Energy of an Ideal Gas |
 88%
Level 1: 80%+
NEET - 2019
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At \(10^{\circ}\text{C}\) the value of the density of a fixed mass of an ideal gas divided by its pressure is \(x.\) At \(110^{\circ}\text{C}\) this ratio is:

1. \(x\) 2. \(\dfrac{383}{283}x\)
3. \(\dfrac{10}{110}x\) 4. \(\dfrac{283}{383}x\)
Subtopic:  Ideal Gas Equation |
 69%
Level 2: 60%+
AIPMT - 2008
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The amount of heat energy required to raise the temperature of \(1\) g of Helium at NTP, from \({T_1}\) K to \({T_2}\) K is:

1. \(\dfrac{3}{2}N_ak_B(T_2-T_1)\) 2. \(\dfrac{3}{4}N_ak_B(T_2-T_1)\)
3. \(\dfrac{3}{4}N_ak_B\frac{T_2}{T_1}\) 4. \(\dfrac{3}{8}N_ak_B(T_2-T_1)\)
Subtopic:  Specific Heat |
 53%
Level 3: 35%-60%
AIPMT - 2013
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In the given \({(V\text{-}T)}\) diagram, what is the relation between pressure \({P_1}\) and \({P_2}\)? 

1. \(P_2>P_1\) 2. \(P_2<P_1\)
3. cannot be predicted 4. \(P_2=P_1\)
Subtopic:  Ideal Gas Equation |
 84%
Level 1: 80%+
AIPMT - 2013
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The mean free path of molecules of a gas (radius \(r\)) is inversely proportional to:

1. \(r^3\) 2. \(r^2\)
3. \(r\) 4. \(\sqrt{r}\)
Subtopic:  Mean Free Path |
 85%
Level 1: 80%+
AIPMT - 2014
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The ratio of the specific heats \(\frac{{C}_{{P}}}{{C}_{{V}}}=\gamma\)  in terms of degrees of freedom \((n)\) is given by:
1. \(\left(1+\frac{1}{n}\right )\) 2. \(\left(1+\frac{n}{3}\right)\)
3. \(\left(1+\frac{2}{n}\right)\) 4. \(\left(1+\frac{n}{2}\right)\)​

Subtopic:  Specific Heat |
 80%
Level 1: 80%+
NEET - 2015
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One mole of an ideal diatomic gas undergoes a transition from \(A\) to \(B\) along a path \(AB\) as shown in the figure. 
         
The change in internal energy of the gas during the transition is:

1. \(20~\text{kJ}\) 2. \(-20~\text{kJ}\) 
3. \(20~\text{J}\) 4. \(-12~\text{kJ}\)

Subtopic:  Law of Equipartition of Energy |
 69%
Level 2: 60%+
NEET - 2015
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Two vessels separately contain two ideal gases \(A\) and \(B\) at the same temperature, the 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 weight of \(A\) and \(B\) is:
1. \(\dfrac{2}{3}\) 2. \(\dfrac{3}{4}\)
3. \(2\) 4. \(\dfrac{1}{2}\)
Subtopic:  Ideal Gas Equation |
 87%
Level 1: 80%+
NEET - 2015
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The molecules of a given mass of gas have RMS velocity of \(200~\text{ms}^{-1}\) at \(27^\circ \text{C}\) and \(1.0\times 10^{5}~\text{Nm}^{-2}\) pressure. When the temperature and the pressure of the gas are respectively, \(127^\circ \text{C}\) and \(0.05\times10^{5}~\text{Nm}^{-2},\) the RMS velocity of its molecules in \((\text{ms}^{-1})\) is:
1. \(\dfrac{400}{\sqrt{3}}\) 2. \(\dfrac{100\sqrt{2}}{3}\)
3. \(\dfrac{100}{3}\) 4. \(100\sqrt{2}\)
Subtopic:  Types of Velocities |
 83%
Level 1: 80%+
NEET - 2016
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