Maxwell's velocity distribution curve is given for two different temperatures. For the given curves-
                    

1. $T_1>T_2$
2. $T_1<T_2$
3. $T_1\le T_2$
4. $T_1=T_2$

Maxwell's speed distribution graph is drawn as shown below. The most probable speed of the gas molecules is:
                        
1. 4 km/s

2. Between 3 km/s and 1 km/s

3. Any value between 2 km/s and 6 km/s

4. More than 4 km/s

The effect of temperature on Maxwell's speed distribution is correctly shown by:

(1) 

(2) 

(3) 

(4) 

Select the incorrect statement about Maxwell's speed distribution curve.

(1) The distribution function depends only on the absolute temperature.

(2) ${\mathrm{v}}_{\mathrm{rms}}>{\mathrm{v}}_{\text{av}}>{\mathrm{v}}_{\text{mp}}$

(3) The area under the distribution curve gives the total number of molecules of the gas.

(4) The distribution curve is symmetric about the most probable speed.

A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered ideal). Let $f_1\left(v\right)dv$ denotes the fraction of molecules with a speed between v and (v+dv) with $f_2$(v)dv similarly for oxygen. Then,

1. $f_1\left(v\right)+f_2$(v) = f(v) obeys the Maxwell's distribution law.

2. $f_1\left(v\right),<mspace\; width="1em"></mspace>f_2\left(v\right)$ will obey Maxwell’s distribution law separately.

3. neither $f_1\left(v\right)$ nor $f_2\left(v\right)$ will obey Maxwell’s distribution law.

4. $f_2\left(v\right)$ and $f_1\left(v\right)$ will be the same.