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
$M^0L^2T^{-4}$
$M^2LT^{-4}$
$MLT^{-2}$
$M^2L^2T^{-2}$
Dimensional formula of magnetic flux is
The dimensions of couple are
The dimensions of $\left(\frac{ B ^{2}}{\mu_{0}}\right)$ will be.
(if $\mu_{0}$ : permeability of free space and $B$ : magnetic field)
The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$ . Which of the following correctly gives the Planck length?
The magnetic moment has dimensions of