The speeds of three molecule are 3v , 4v and 5v find their root mean square speed
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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−−−−−−−−−√Vrms=c12+c22+c32+...cn2n
where cici is the speed of individual molecules and nn is the number of molecules.
Now, coming to the question:
Vrms=(3V)2+(4V)2+(5V)23−−−−−−−−−−−−√=52√3V
Vrms=c21+c22+c23+...c2nn−−−−−−−−−√Vrms=c12+c22+c32+...cn2n
where cici is the speed of individual molecules and nn is the number of molecules.
Now, coming to the question:
Vrms=(3V)2+(4V)2+(5V)23−−−−−−−−−−−−√=52√3V
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