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 |
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Molecular weight of two gases are $$M_1$$ 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 |
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PMT - 1996
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The root mean square velocity of the molecules of a gas is 300 m/s. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

 1 300 m/s 2 150 m/s 3 600 m/s 4 75 m/s
Subtopic:  Types of Velocities |
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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 |
79%
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NEET - 2016
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If the ratio of vapour density for hydrogen and oxygen is $$1 \over 16$$, then under constant pressure, the ratio of their rms velocities will be:

 1 $$4 \over 1$$ 2 $$1 \over 4$$ 3 $$1 \over 16$$ 4 $$16 \over 1$$
Subtopic:  Types of Velocities |
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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 $$0^\circ \mathrm{C}?$$

 1 $$40^\circ \mathrm{C}$$ 2 $$93^\circ \mathrm{C}$$ 3 $$39^\circ \mathrm{C}$$ 4 Cannot be calculated
Subtopic:  Types of Velocities |
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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 |
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The Earth’s atmosphere contains oxygen and nitrogen. The mass of an oxygen molecule is greater than the mass of a nitrogen molecule. The temperature of the air in a room on a particular day is $$300~\mathrm{K}$$. Below are four statements about the motion of the two types of molecules in this room.
 A. They have an equal mean square velocity $$(\overline{v^2})$$. B. A nitrogen molecule has a greater mean square velocity $$(\overline{v^2})$$ than an oxygen molecule. C. A nitrogen molecule has a greater mean kinetic energy than an oxygen molecule. D. An oxygen molecule has a greater mean kinetic energy than a nitrogen molecule.

Which of the statements is/are correct?
 1 statement A only 2 statement A and C only 3 statement B and D only 4 statement 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 $${ }_{235} \mathrm{UF}_6$$ 2 $${ }_{238} \mathrm{UF}_6$$ 3 Both will have the same average speed. 4 Data insufficient

Subtopic:  Types of Velocities |
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The curve between absolute temperature and $$\mathrm{v}^2_{rms}$$${}^{}$ is:

 1 2 3 4
Subtopic:  Types of Velocities |
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