The dimensional formula for r.m.s. (root mean | vedclass

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Question

(A) The $r.m.s.$ (root mean square) velocity is a type of velocity,and all velocities have the same dimensions as speed.Velocity is defined as displac

Vedclass · Accepted Answer

$M^0 L T^{-1}$

Vedclass · Answer

(A) The $r.m.s.$ (root mean square) velocity is a type of velocity,and all velocities have the same dimensions as speed.Velocity is defined as displacement divided by time,which is $\frac{	ext{Length}}{	ext{Time}}$.The dimensional formula for length is $[L]$ and for time is $[T]$.Therefore,the dimensional formula for velocity is $[L T^{-1}]$.In terms of mass,length,and time,this is written as $[M^0 L T^{-1}]$.Thus,the correct option is $A$.

The dimensional formula for $r.m.s.$ (root mean square) velocity is

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