Home
Class 11
PHYSICS
For any distribution of speeds v(rms) g...

For any distribution of speeds `v_(rms) ge v_(av)` Is this statement true or false ?

Text Solution

Verified by Experts

The correct Answer is:
A
Suppose `n_(1)` molecules have `v_(1)` velocity and `n_(2)` molecules have `v_(2) velocity. Then,
`v_(av) = (n_1 v_1 + n_2 v_2)/(n_2 + n_2)`
But, `v_(rms) = sqrt((n_1 v_1^2 + n_2 v_2^2)/(n_1 +n_2)`
Now, `v_(rms) ge v_(av)` because `v_1" and" v_2` may be in opposite directions also.
Promotional Banner

Topper's Solved these Questions

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 1 Assertion And Reason|10 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 1 Objective|10 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Exercise 20.4|3 Videos

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

Similar Questions

Explore conceptually related problems

Projectile motion (at low speed) is uniformly accelerated motion. Is this statement true or false?

Average speed is always equal to magnitude of average velocity. Is this statement true or false ?

Five molecules have speeds of 12 ,16,32,40, and 48 m/s find (a) the average speed v_(avg ) and (b) the rootmean - square speed v_(rms) for these molecules (c ) show that for any distribution of speeds , v_(rms ) ge V_(avg)

Ratio of V_(rms) to V_(averag e) of O :

Which of the following relationships is valid for the root mean square speed (u_("rms")) , average speed (u_(av)) , and the most probable speed (u_("mp")) ?

The ratio between the three speeds, u_(mp) : u_(av) : u_(rms) is given as

Suppose a container is evacuated to leave just one molecule of a gas in it. Let v_(mp) and v_(av) represent the most probable speed and the average speed of the gas, then

gives the probaility distribution for nitrogen gas . The scale of the horizontal axis is set by v_ s = 2400 m/s what are the (a)gas temperature and (b ) rms speed of the molecules ?

The atmosphere on a planet is possible only if [ where v_(rms) is root mean square speed of gas molecules on planet and v_(e) is escape speed on its surface ]

Consider an ideal gas with following distribution of spedds. (a) Calculate V_("rms") and henceT. (m=3.0xx 10^(-26) kg) (b) If all the molecules with speed 1000m//s escape from the system, calculate new V_("rms") and hence T.