Download App

12 . kinetic theory of gases — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics12 . kinetic theory of gases1 Mark
MCQ
The relation between root mean square speed $\left( v _{ rms }\right)$ and most probable speed $\left( v _{ p }\right)$ for the molar mass $M$ of oxygen gas molecule at the temperature of $300\, K$ will be
  • A
    $v _{ rms }=\sqrt{\frac{2}{3}} v _{ p }$
  • ✓
    $v _{ rms }=\sqrt{\frac{3}{2}} v _{ p }$
  • C
    $v _{ rms }= v _{ p }$
  • D
    $v _{ rms }=\sqrt{\frac{1}{3}} v _{ p }$
✓

Answer

Correct option: B.
$v _{ rms }=\sqrt{\frac{3}{2}} v _{ p }$
b
$v _{ rms }=\sqrt{\frac{3 RT }{ M }} \text { and } v _{ mp }=\sqrt{\frac{2 RT }{ M }}$

Thus $v _{ rms }=\sqrt{\frac{3}{2}} v _{ mp }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 12 . kinetic theory of gases→12 . kinetic theory of gases — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

The pressure $P,$ volume $V$ and temperature $T$ of a gas in the jar $A$ and the other gas in the jar $B$ at pressure $2P,$ volume $V/4$ and temperature $2T,$ then the ratio of the number of molecules in the jar $A$ and $B$ will be
→
A projectile of mass $3m$ is moving at $40\, m/s$ at is highest point, where it breaks into two parts $m$ and $2m$. Mass $2m$ moves vertically up at $25\, m/s$. The other part will move at speed  .................... $\mathrm{m}/ \mathrm{s}$
→
A circular table is rotating with an angular velocity of $\omega \mathrm{rad} / \mathrm{s}$ about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of $1 \mathrm{~m}$ on the groove. All the surface are smooth. If the radius of the table is $3 \mathrm{~m}$, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is $x \sqrt{2} \omega \mathrm{m} / \mathrm{s}$, where the value of $x$ is............
→
A tuning fork resonates with a sonometer wire of length $1 \mathrm{~m}$ stretched with a tension of $6 \mathrm{~N}$. When the tension in the wire is changed to $54 \mathrm{~N}$, the same tuning fork produces $12$ beats per second with it. The frequency of the tuning fork is $\mathrm{Hz}$.
→
Consider a Vernier callipers in which each $1 \ cm$ on the main scale is divided into $8$ equal divisions and a screw gauge with $100$ divisions on its circular scale. In the Vernier callipers, $5$ divisions of the Vernier scale coincide with $4$ divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then:

$(A)$ If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is $0.01 \ mm$.

$(B)$ If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is $0.005 \ mm$.

$(C)$ If the least count of the linear scale of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is $0.01 \ mm$.

$(D)$ If the least count of the linear scale of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is $0.005 \ mm$.

→
Which of the following is unitless quantity ?
→
A person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?
→
The escape speed of a projectile on the earth's surface is $11.2\; km s ^{-1} .$ A body is projected out with thrice this speed. What is the speed (in $km/s$) of the body far away from the earth? Ignore the presence of the sun and other planets.
→
Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.
→
A wave of frequency $100 Hz$ is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of $10 cm$ from the fixed end of the string. The speed of incident (and reflected) wave are .... $m/s$
→