A vessel is partitioned in two equal halves by a fixed diathermic… - Vidyadip

MCQ

A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left $(L)$ and right $(R)$ halves. The rms speed of the molecules in $L$ part is equal to the mean speed of molecules in the $R$ part. Then the ratio of the mass of a molecule in $L$ part to that of a molecule in $R$ part is

A
$\sqrt {\frac{3}{2}} $
B
$\sqrt {\pi /4} $
C
$\sqrt {2/3} $
✓
$3\pi /8$

✓

Answer

Correct option: D.

$3\pi /8$

d
The left side of the container has a gas, let having molecular wt. $M_{1}$ Right part has Mol. wt $=M_{2}$

Temperature of both left and right chambers are equal as the separating wall is diathermic

$\sqrt{\frac{3 R T}{M_{1}}}=\sqrt{\frac{8 R T}{\pi M_{2}}} \Rightarrow \frac{3 R T}{M_{1}}=\frac{8 R T}{\pi M_{2}} \Rightarrow \frac{M_{1}}{\pi M_{2}}$

$= \frac{3}{8} \Rightarrow \frac{M_{1}}{ M _{2}}=\frac{3 \pi}{8}=1.1775 \approx 1.18$

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

On the superposition of two harmonic oscillations represented by ${x_1} = a\,\sin \,\left( {\omega t + {\phi _1}} \right)$ and ${x_2} = a\,\sin \,\left( {\omega t + {\phi _2}} \right)$ a resulting oscillation with the same time period and amplitude is obtained. The value of ${\phi _1} - {\phi _2}$ is .... $^o$

An observer finds the magnitudes of the acceleration of two bodies to be the same. This necessary implies that the two bodies.

A man is $45 \,m$ behind the bus when the bus start accelerating from rest with acceleration $2.5$ $m/s^2$. With what minimum velocity should the man start running to catch the bus ?.......$m/s$

A man is running with constant speed along a circular path of radius $2 \sqrt 2\, m$. He completes $1$ round in $10\, second$. Find instantaneous speed at $2.5 \,sec.$

A disc of mass $m$ and radius $R$ is attached to celling with the help of ropes of length $l$. Find the time period of small oscillation of disc in the plane of disc.

$A$ man weighing $80\, kg$ is standing at the centre of a flat boat and he is $20\, m$ from the shore. He walks $8\, m$ on the boat towards the shore and then halts. The boat weight $200\, kg$. ........ $m$ far is he from the shore at the end of this time.

The work done in stretching an elastic wire per unit volume is

A street car moves rectilinearly from station $A$ to the next station $B$ with an acceleration varying according to the law $a=(b-c x)$, where $b$ and $c$ are constants and $x$ is the distance from station $A$. The distance between the two stations and the maximum velocity are

The eccentricity of earth's orbit is $0.0167$. The ratio of its maximum speed in its orbit to its minimum speed is

Two resistors R and 2R are connected in series in an electric circuit. The thermal energy developed in R and 2R are in the ratio:

1 : 2.
2 : 1.
1 : 4.
4 : 1.