Question

The speed of ten particles in metre/ sec are $0,1,2,3,3,3,4,4,5$ and $6$. Find (a) average speed (b) the root means square speed (c) most probable speed.

• A. (a) $67.218atm,13.36atm$ and (b) $0.6922atm$.
• B. (a) $87.218atm,131.36atm$ and (b) $0.1922atm$.
• C. (a) $77.218atm,131.36atm$ and (b) $0.9922atm$.
• D. none of these

Answer 1

The correct option is C (a) $77.218atm,131.36atm$ and (b) $0.9922atm$.

The speed of $10$ particles in $m/sec$ are, $0,1,2,3,3,3,4,4,5$ and $6$

$a)$ $averagespeed=\frac{0+1+2+3+3+3+4+4+5+6}{10}=3.1m/sec$

$b)$ $rootmeansquarespeed=\sqrt{\frac{0^2+1^2+2^2+3^2+3^2+3^2+4^2+4^2+5^2+6^2}{10}}=3.536m/sec$

$c)$ Most probable speed$=$ The speed of which most number of particle is moving $⟹3$ particles have speed $3m{s}^{-1}$