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JEE PHYSICS MCQ: KINETIC THEORY OF GASES

1 Medium

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Understanding +4 | -1

Speed of sound in a gas is

v

and

r.m.s.

velocity of the gas molecules is

c.

The ratio of

v

to

c

is

View answer and explanation

Correct option: D

\sqrt {\frac{\gamma }{3}}

Option D (

\sqrt{\frac{\gamma}{3}}

) is correct because it represents the ratio of the speed of sound in a gas to the RMS velocity of the gas molecules.

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Assertion: The pressure exerted by an enclosed ideal gas does not depend on the shape of the container.
Reason: The pressure of an ideal gas depends on the number moles, temperature and volume of the enclosed If

c_s

is the velocity of sound in air and

c

is the rms velocity, then Four particles have velocities

1,0,2,3 \mathrm{~m} / \mathrm{s}

. The root mean square of the particles is (in

\mathrm{m} / \mathrm{s}

) The translational degrees of freedom

(f_t)

and rotational degrees of freedom

(f_r)

{CH}_4

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{C_{rms}} =

= root mean square velocity of molecules and

{V_e} =

escape velocity) At a given temperature, the pressure of an ideal gas of density

\rho

is proportional to