If C 1 , C 2 , C 3 .........represent the speeds of n 1 , n 2 , n 3 ......... molecules, then the root mean square speed is _____. Options: A . &nbsp√n1C12+n2C22+n3C32+...n1+n2+n3+... B . &nbsp⟮n1C12+n2C22+n3C32+..⟯12n1+n2+n3+..... C . &nbsp⟮n1C12⟯12n1+⟮n2C22⟯12n2+⟮n3C32⟯12n3+..... D . &nbsp ⟮⟮n1C1+n2C2+n3C3+...⟯2⟮n1+n2+n3+.....⟯⟯12

Answer: Option A : A Root mean square speed = √ n 1 C 1 2 + n 2 C 2 2 + n 3 C 3 2 + . . . n 1 + n 2 + n 3 + . . .

If C1,C2,C3.........represent the speeds of n1,n2,n3......... molecules, then th

Question

C_{1}, C_{2}, C_{3}

.........represent the speeds of

n_{1}, n_{2}, n_{3}

......... molecules, then the root mean square speed is _____.

Options:

A . √n1C12+n2C22+n3C32+...n1+n2+n3+...

B . ⟮n1C12+n2C22+n3C32+..⟯12n1+n2+n3+.....

C . ⟮n1C12⟯12n1+⟮n2C22⟯12n2+⟮n3C32⟯12n3+.....

D . ⟮⟮n1C1+n2C2+n3C3+...⟯2⟮n1+n2+n3+.....⟯⟯12

Answer: Option A
:
A
Root mean square speed =

\frac{\sqrt{n_{1} {C_{1}}^{2} + n_{2} {C_{2}}^{2} + n_{3} {C_{3}}^{2} + . . .}}{n_{1} + n_{2} + n_{3} + . . .}

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