The equation $\frac{{dV}}{{dt}} = At - BV$ is describing the rate of change of velocity of a body falling from rest in a resisting medium. The dimensions of $A$ and $B$ are
$LT^{-3}, T$
$LT^{-3}, T^{-1}$
$LT, T$
$LT, T^{-1}$
In a typical combustion engine the work done by a gas molecule is given $W =\alpha^{2} \beta e ^{\frac{-\beta x ^{2}}{ KT }}$, where $x$ is the displacement, $k$ is the Boltzmann constant and $T$ is the temperature. If $\alpha$ and $\beta$ are constants, dimensions of $\alpha$ will be
The physical quantity that has the same dimensional formula as pressure is :
The dimensional formula of wave number is
The physical quantity $'$Energy Density$'$ has same dimensional formula as
If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{I^2}$ are