Which pair do not have equal dimensions?
Force and impulse
Angular momentum and Planck constant
Energy and torque
Elastic modulus and pressure.
The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
Dimensional formula for thermal conductivity is (here $K$ denotes the temperature)
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.
If $L , C$ and $R$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $C ^{2} LR$ is
Two quantities $A$ and $B$ have different dimensions. Which mathematical operation given below is physically meaningful