Maxwell's Speed of Distribution Law

Q. Identify the correct order of temperature as indicated in given diagram for same gas.

1. $T_1>T_2>T_3$
2. $T_3>T_2>T_1$
3. $T_1>T_2=T_3$
4. $T_1=T_2>T_3$

Q. Which of the Maxwell’s Distribution Curve represents its particular temperature?

1. $T_1>T_2>T_3$
2. $T_1<T_2<T_3$
3. $T_1>T_2<T_3$

4. Can’t be said

Q. An ideal gas is filled in an insulated cylinder fitted with a movable piston connected with an ideal spring (of force constant $K$) as shown in the figure. Initially, the spring is relaxed and the gas in the piston has volume $V_0$ and temperature $T_0$ . Now the gas in the cylinder is heated slowly so that the piston slides towards right to a distance $x$. Find the final pressure and temperature of the gas. (Given atmospheric pressure = $P_0$ and area of cross-section of the cylinder is $A$).

Q. Identify the correct order as indicated in the given diagram of different kind of speed of molecules of same gas.


$f\left(v\right)\to$ Maxwell speed distribution function
$v_{mp}\to$ Most probable speed
$v_{rms}\to$ Root mean square speed
$v_{av}\to$ Average speed

1. $v_{mp}-3,v_{av}-2,v_{rms}-1$
2. $v_{mp}-1,v_{av}-2,v_{rms}-3$
3. $v_{mp}-2,v_{av}-1,v_{rms}-3$
4. $v_{mp}-3,v_{av}-1,v_{rms}-2$