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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Let A and B the two gases and given :  where T is the temperature and M is molecular mass. If ${\mathrm{C}}_{\mathrm{A}}$ and ${\mathrm{C}}_{\mathrm{B}}$ are the r.m.s. speed, then the ratio $\frac{{\mathrm{C}}_{\mathrm{A}}}{{\mathrm{C}}_{\mathrm{B}}}$ will be equal to

1. 2

2. 4

3. 1

4. 0.5

Concept Questions :-

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

Difficulty Level:

For a gas at a temperature the root-mean-square velocity ${\mathrm{v}}_{\mathrm{rms}}$ , the most probable speed ${\mathrm{v}}_{\mathrm{mp}}$ , and the average speed ${\mathrm{v}}_{\mathrm{av}}$ obey the relationship

1. ${\mathrm{v}}_{\mathrm{av}}>{\mathrm{v}}_{\mathrm{rms}}>{\mathrm{v}}_{\mathrm{mp}}$

2. ${\mathrm{v}}_{\mathrm{rms}}>{\mathrm{v}}_{\mathrm{av}}>{\mathrm{v}}_{\mathrm{mp}}$

3. ${\mathrm{v}}_{\mathrm{mp}}>{\mathrm{v}}_{\mathrm{av}}>{\mathrm{v}}_{\mathrm{rms}}$

4. ${\mathrm{v}}_{\mathrm{mp}}>{\mathrm{v}}_{\mathrm{rms}}>{\mathrm{v}}_{\mathrm{av}}$

Concept Questions :-

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

Difficulty Level:

If  and ${\mathrm{V}}_{\mathrm{O}}$ denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then

1. ${\mathrm{V}}_{\mathrm{N}}>{\mathrm{V}}_{\mathrm{O}}>{\mathrm{V}}_{\mathrm{H}}$

2. ${\mathrm{V}}_{\mathrm{H}}>{\mathrm{V}}_{\mathrm{N}}>{\mathrm{V}}_{\mathrm{O}}$

3. ${\mathrm{V}}_{\mathrm{O}}>{\mathrm{V}}_{\mathrm{N}}>{\mathrm{V}}_{\mathrm{H}}$

4. ${\mathrm{V}}_{\mathrm{O}}>{\mathrm{V}}_{\mathrm{H}}>{\mathrm{V}}_{\mathrm{N}}$

Concept Questions :-

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

Difficulty Level:

The r.m.s. speed of a group of 7 gas molecules having speeds  is

1.

2.

3.

4.

Concept Questions :-

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

Difficulty Level:

Molecular motion shows itself as

1. Temperature

2. Internal Energy

3. Friction

4. Viscosity

Concept Questions :-

Kinetic energy of gas
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

What is the velocity of wave in monoatomic gas having pressure 1 kilopascal and density  ?

1.

2.

3.  Zero

4.  None of these

Concept Questions :-

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

Difficulty Level:

If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules

1. Is decreased

2. Is increased

3. Remains unchanged

4. Increases or decreases according to the nature of the gas

Concept Questions :-

Kinetic energy of gas
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

At constant volume, temperature is increased. Then

1. Collision on walls will be less

2. Number of collisions per unit time will increase

3. Collisions will be in straight lines

4. Collisions will not change

Concept Questions :-

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

Difficulty Level:

The r.m.s. speed of a certain gas is n at 400K. The temperature at which the r.m.s. speed becomes two times, will be

1.  800 K

2.  1600 K

3.  1200 K

3.  None of these

Concept Questions :-

Types of velocity