Which of the following relation correct? ( vrms -root mean square velocity, barv-mean velocity and vm p -most probable velocity)

Question

Which of the following relation correct? ( vrms -root mean square velocity, barv-mean velocity and vm p -most probable velocity) (A) vrms > vec v (B) v rms < barv > v mp  (C) Vr m s > barv > vm p (D) None of these

Tardigrade Admin · Accepted Answer

The correct relation is v rms > barv > v mp As barv=1.6 √(R T/M), v rms =1.73 √(R T/M) and v mp =1.41 √(R T/M)

Q. Which of the following relation correct? ( $v_{r m s}$ -root mean square velocity, $\overset{v}{ˉ}$ -mean velocity and $v_{m p}$ -most probable velocity)

$v_{r m s} > v$

$v_{r m s} < \overset{v}{ˉ} > v_{m p}$

$V_{r m s} > \overset{v}{ˉ} > v_{m p}$

None of these

The correct relation is $v_{r m s} > \overset{v}{ˉ} > v_{m p}$
As $\overset{v}{ˉ} = 1.6 \frac{RT}{M}, v_{r m s}$
$= 1.73 \frac{RT}{M}$
and $v_{m p} = 1.41 \frac{RT}{M}$

Q. Which of the following relation correct? ( vrms​ -root mean square velocity, vˉ-mean velocity and vmp​ -most probable velocity)

vrms​>v

vrms​<vˉ>vmp​

Vrms​>vˉ>vmp​