If \(V_\text{H}\),\(V_\text{N}\) and \(V_\text{O}\) denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then:
1. \(V_\text{N}>V_\text{O}>V_\text{H}\)
2. \(V_\text{H}>V_\text{N}>V_\text{O}\)
3. \(V_\text{O}>V_\text{N}>V_\text{H}\)
4. \(V_\text{O}>V_\text{H}>V_\text{N}\)

Subtopic:  Types of Velocities |
 91%
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The molecular weight of two gases is \(M_1\) and \(M_2.\) At any temperature, the ratio of root mean square velocities \(v_1\) and \(v_2\) will be:
1. \(\sqrt{\frac{M_1}{M_2}}\)
2. \(\sqrt{\frac{M_2}{M_1}}\)
3. \(\sqrt{\frac{M_1+M_2}{M_1-M_2}}\)
4. \(\sqrt{\frac{M_1-M_2}{M_1+M_2}}\)

Subtopic:  Types of Velocities |
 89%
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PMT - 1996
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The root mean square velocity of the molecules of a gas is \(300 ~\text{m/s}.\) What will be the root mean square speed of the molecules if the atomic weight is doubled and the absolute temperature is halved?

1. \(300 ~\text{m/s}\) 2. \(150 ~\text{m/s}\)
3. \(600 ~\text{m/s}\) 4. \(75 ~\text{m/s}\)
Subtopic:  Types of Velocities |
 81%
From NCERT
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The molecules of a given mass of gas have rms velocity of 200 ms-1 at \(27^{\circ}\mathrm{C}\) and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to, respectively, \(127^{\circ}\mathrm{C}\) and 0.05 X 10Nm-2, rms velocity of its molecules in ms-1 will become:
1. 400/√3
2. 100√2/3
3. 100/3 
4.100√2

Subtopic:  Types of Velocities |
 80%
From NCERT
NEET - 2016
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If the ratio of vapour density for hydrogen and oxygen is \(\frac{1}{16},\) then under constant pressure, the ratio of their RMS velocities will be:

1. \(\frac{4}{1}\) 2. \(\frac{1}{4}\)
3. \(\frac{1}{16}\) 4. \(\frac{16}{1}\)
Subtopic:  Types of Velocities |
 78%
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At which temperature the velocity of \(\mathrm{O_2}\) molecules will be equal to the velocity of \(\mathrm{N_2}\) molecules at \(0^\circ \text{C}?\)

1. \(40^\circ \text{C}\) 2. \(93^\circ \text{C}\)
3. \(39^\circ \text{C}\) 4. Cannot be calculated
Subtopic:  Types of Velocities |
 78%
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The rms speed of the molecules of an enclosed gas is \(v\). What will be the rms speed if the pressure is doubled, keeping the temperature constant?

1. \(v \over 2\) 2. \(v\)
3. \(2v\) 4. \(4v\)
Subtopic:  Types of Velocities |
 78%
From NCERT
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The Earth’s atmosphere contains both oxygen and nitrogen. The mass of an oxygen molecule is greater than that of a nitrogen molecule. On a certain day, the temperature of air in a room is \(300~\text{K}.\) 
Consider the following statements regarding the motion of oxygen and nitrogen molecules:

(A) Both gases have the same mean square velocity \((\overline{v^2}).\)
(B) Nitrogen molecules have a greater mean square velocity \((\overline{v^2})\) than oxygen molecules.
(C) Nitrogen molecules have a greater mean kinetic energy than oxygen molecules.
(D) Oxygen molecules have a greater mean kinetic energy than nitrogen molecules.

Choose the correct option from the options given below:
1. (A) only
2. (A) and (C) only
3. (B) and (D) only
4. (B) only
Subtopic:  Types of Velocities |
 72%
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Uranium has two isotopes of masses \(235 \) and \(238\) units. If both are present in Uranium hexafluoride gas, which would have the larger average speed?
1. \(^{235} \mathrm{U} \mathrm{F}_{6}\)
2. \({}^{238} \mathrm{U} \mathrm{F}_{6}\)
3. Both will have the same average speed.
4. Data insufficient

Subtopic:  Types of Velocities |
 77%
From NCERT
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The curve between absolute temperature and \({v}^2_{rms}\) is:

1. 2.
3. 4.
Subtopic:  Types of Velocities |
 73%
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