Question

The velocity of three molecules are 3v 4 v and v v their rms speed will be

Answer 1

The root mean square speed (rms speed) is defined as the square root of the mean of squares of the individual speed of the molecules. Mathematically expressed as,

Vrms=c21+c22+c23+...c2nn−−−−−−−−−√

where ci is the speed of individual molecules and n is the number of molecules.

Now, coming to the question:

Vrms=(3V)2+(4V)2+(5V)23−−−−−−−−−−−−√=52√3V