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 respective speeds of the molecules are 1, 2, 3, 4 and 5 km/sec. The ratio of their r.m.s. velocity and the average velocity will be

1. 11 : 3                                   

2. 3 : 11

3. 1 : 2                                         

4. 3 : 4

Subtopic:  Types of Velocities |
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Two vessels having equal volume contain molecular hydrogen at one atmosphere and helium at two atmospheres respectively. If both samples are at the same temperature, the mean velocity of hydrogen molecules is

1. Equal to that of helium                           

2. Twice that of helium

3. Half that of helium                                 

4. 2 times that of helium

Subtopic:  Types of Velocities |
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The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes
 
1. Twice
 
2. Half
 
3. Four times
 
4.One-fourth
Subtopic:  Types of Velocities |
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According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to

1. T                                 

2. T

3. T2                                 

4. 1/T

Subtopic:  Types of Velocities |
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At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio

1.  16 : 1                               

2.  1 : 16

3.  4 : 1                                 

4.  1 : 4

Subtopic:  Types of Velocities |
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The value of densities of two diatomic gases at constant temperature and pressure are d1 and d2 , then the ratio of the speed of sound in these gases will be :

1. d1d2                                   

2. d2/d1

3. d1/d2                             

4. d1d2

Subtopic:  Types of Velocities |
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By what factor the r.m.s. velocity will change, if the temperature is raised from 27°C to 327°C

1.  2                                 

2.  2

3.  22                               

4.  1

Subtopic:  Types of Velocities |
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At a given temperature if Vrms is the root mean square velocity of the molecules of a gas and Vs the velocity of sound in it, then these are related as γ=CPCv

1. Vrms=Vs                             

2. Vrms=3γ×Vs

3. Vrms=γ3×Vs                   

4. Vrms=3γ×Vs

Subtopic:  Types of Velocities |
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For a gas at a temperature the root-mean-square velocity vrms , the most probable speed vmp , and the average speed vav obey the relationship

1. vav>vrms>vmp                               

2. vrms>vav>vmp

3. vmp>vav>vrms                               

4. vmp>vrms>vav

Subtopic:  Types of Velocities |
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