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

  • A
    $M^0 L T^{-1}$
  • B
    $M^0 L^0 T^{-2}$
  • C
    $M^0 L^0 T^{-1}$
  • D
    $M L T^{-3}$

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Similar Questions

The dimension of $P = \frac{B^2 l^2}{m}$ is,where $B = \text{magnetic field}$,$l = \text{length}$,$m = \text{mass}$.

Match List-$I$ with List-$II$:
List-$I$List-$II$
$(a)$ $h$ (Planck's constant)$(i)$ $[M L T^{-1}]$
$(b)$ $E$ (kinetic energy)$(ii)$ $[M L^2 T^{-1}]$
$(c)$ $V$ (electric potential)$(iii)$ $[M L^2 T^{-2}]$
$(d)$ $P$ (linear momentum)$(iv)$ $[M L^2 I^{-1} T^{-3}]$

Choose the correct answer from the options given below:

Let $[\varepsilon_0]$ be the dimensional formula of the permittivity of free space. If $M = \text{mass}$,$L = \text{length}$,$T = \text{time}$,and $A = \text{electric current}$,then which of the following is correct?

Which physical quantity has the dimensions $M{L^2}{T^{-1}}$?

The dimensions of resistance are the same as those of $......$ where $h$ is the Planck's constant and $e$ is the charge.

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