At which temperature the velocity of ${\mathrm{O}}_{2}$ molecules will be equal to the velocity of ${\mathrm{N}}_{2}$ molecules at 0°C

1. 40°C

2. 93°C

3. 39°C

4. Cannot be calculated

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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.

2.

3.

4.

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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. $\sqrt{2}$ times that of helium

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to

1. $\mathrm{T}$

2. $\sqrt{\mathrm{T}}$

3. ${\mathrm{T}}^{2}$

4. $1/\sqrt{\mathrm{T}}$

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes

1.  4v

2.  2v

3.  v/2

4.  v/4

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The value of densities of two diatomic gases at constant temperature and pressure are ${\mathrm{d}}_{1}$ and  then the ratio of the speed of sound in these gases will be :

1. ${\mathrm{d}}_{1}{\mathrm{d}}_{2}$

2. $\sqrt{{\mathrm{d}}_{2}/{\mathrm{d}}_{1}}$

3. $\sqrt{{\mathrm{d}}_{1}/{\mathrm{d}}_{2}}$

4. $\sqrt{{\mathrm{d}}_{1}{\mathrm{d}}_{2}}$

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

By what factor the r.m.s. velocity will change, if the temperature is raised from 27°C to 327°C

1.  $\sqrt{2}$

2.  $2$

3.  $2\sqrt{2}$

4.  $1$

Concept Questions :-

Types of velocity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

At a given temperature if ${\mathrm{V}}_{\mathrm{rms}}$ is the root mean square velocity of the molecules of a gas and ${\mathrm{V}}_{\mathrm{s}}$ the velocity of sound in it, then these are related as $\left(\mathrm{\gamma }=\frac{{\mathrm{C}}_{\mathrm{P}}}{{\mathrm{C}}_{\mathrm{v}}}\right)$

1. ${\mathrm{V}}_{\mathrm{rms}}={\mathrm{V}}_{\mathrm{s}}$

2. ${\mathrm{V}}_{\mathrm{rms}}=\sqrt{\frac{3}{\mathrm{\gamma }}}×{\mathrm{V}}_{\mathrm{s}}$

3. ${\mathrm{V}}_{\mathrm{rms}}=\sqrt{\frac{\mathrm{\gamma }}{3}}×{\mathrm{V}}_{\mathrm{s}}$

4. ${\mathrm{V}}_{\mathrm{rms}}=\left(\frac{3}{\mathrm{\gamma }}\right)×{\mathrm{V}}_{\mathrm{s}}$

Concept Questions :-

Types of velocity