Ten particles are moving at the speed of of 2,3,4,5,5,5,6,6,7 and 9 and ms^(-1). Calculate rms speed , average speed and most probable speed .

Ten particles are moving at the speed of of 2,3,4,5,5,5,6,6,7 and 9 an

1.	Ten particles are moving at the speed of of 2,3,4,5,5,5,6,6,7 and 9 and ms^(-1). Calculate rms speed , average speed and most probable speed .
Answer» <html><body><p></p>Solution :The average speed `<a href="https://interviewquestions.tuteehub.com/tag/bar-892478" style="font-weight:bold;" target="_blank" title="Click to know more about BAR">BAR</a> nu=(2+3+4+5+5+5+6+6+7+9)/10=5.2"<a href="https://interviewquestions.tuteehub.com/tag/ms-549331" style="font-weight:bold;" target="_blank" title="Click to know more about MS">MS</a>"^(-1)` <br/>To find the rms speed, first calculate the mean square speed `<a href="https://interviewquestions.tuteehub.com/tag/barv-2461077" style="font-weight:bold;" target="_blank" title="Click to know more about BARV">BARV</a>^(2)` <br/> `bar(nu^(2))=(2^(2)+3^(2)+4^(2)+5^(2)+5^(2)+5^(2)+6^(2)+6^(2)+7^(2)+9^(2))/10=30.6 m^(2)s^(-2)` <br/> The rms speed `nu_(rms)=sqrt(nu^bar(2))=sqrt(30.6)=5.53ms^(-1)` <br/> The most probable speed is `5ms^(-1)` because <a href="https://interviewquestions.tuteehub.com/tag/three-708969" style="font-weight:bold;" target="_blank" title="Click to know more about THREE">THREE</a> of the pearticles have that speed.</body></html>