According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A\frac{{\Delta v}}{{\Delta z}}$ where $\eta $ is constant called coefficient of viscosity. The dimension of $\eta $ are
$[M{L^2}{T^{ - 2}}]$
$[M{L^{ - 1}}{T^{ - 1}}]$
$[M{L^{ - 2}}{T^{ - 2}}]$
$[{M^0}{L^0}{T^0}]$
Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are
Which of the following is dimensionally incorrect?
Time $(T)$, velocity $(C)$ and angular momentum $(h)$ are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be
Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express time in terms of dimensions of these quantities.