The force of interaction between two atoms is given by $F\, = \,\alpha \beta \,\exp \,\left( { - \frac{{{x^2}}}{{\alpha kt}}} \right);$ where $x$ is the distance, $k$ is the Boltzmann constant and $T$ is temperature and $\alpha $ and $\beta $ are two constants. The dimension of $\beta $ is
$M^0L^2T^{-4}$
$M^2LT^{-4}$
$MLT^{-2}$
$M^2L^2T^{-2}$
Out of the following which pair of quantities do not have same dimensions
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
The quantities $A$ and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of
If $L$ and $R$ are respectively the inductance and resistance, then the dimensions of $\frac{L}{R}$ will be
Dimensions of luminous flux are