Dimensional formula of resistivity is
$\left[ {M{L^2}{A^{ - 2}}{T^{ - 3}}} \right]$
$\left[ {M{L^3}{A^{ - 2}}{T^{ - 3}}} \right]$
$\left[ {ML{A^{ - 2}}{T^{ - 3}}} \right]$
$\left[ {M{L^3}{A^{ - 1}}{T^{ - 3}}} \right]$
If Surface tension $(S)$, Moment of Inertia $(I)$ and Planck’s constant $(h)$, were to be taken as the fundamental units, the dimensional formula for linear momentum would be
Identify the pair which has different dimensions
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right) = \frac{{b\theta }}{l}$ Where $P$ is the pressure, $V$ the volume, $\theta $ the absolute temperature and $a$ and $b$ are constants. The dimensional formula of $a$ is
The dimensional formula of wave number is
A famous relation in physics relates 'moving mass' $m$ to the 'rest mass' $m_{0}$ of a particle in terms of its speed $v$ and the speed of light, $c .$ (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant $c$. He writes:
$m=\frac{m_{0}}{\left(1-v^{2}\right)^{1 / 2}}$
Guess where to put the missing $c$