JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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v_{\operatorname{rms}}, v_{{av}}

, and

v_{\text {mp}}

are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

View answer and explanation

Correct option: B

v_{\text{rms}} > v_{av} > v_{{mp }}

Option B (

v_{\text{rms}} > v_{av} > v_{{mp }}

) is correct because the root mean square velocity is always greater than the average velocity, which is greater than the most probable velocity.

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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

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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

molecule are: On any planet, the presence of atmosphere implies (

{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