Which of the following physical quantities have the same dimensions?
Electric displacement $(\overrightarrow{ D })$ and surface charge density
Displacement current and electric field
Current density and surface charge density
Electric potential and energy
The dimensions of universal gravitational constant are
Consider the following equation of Bernouilli’s theorem. $P + \frac{1}{2}\rho {V^2} + \rho gh = K$ (constant)The dimensions of $K/P$ are same as that of which of the following
Match List$-I$ with List$-II.$
List$-I$ | List$-II$ |
$(a)$ Torque | $(i)$ ${MLT}^{-1}$ |
$(b)$ Impulse | $(ii)$ ${MT}^{-2}$ |
$(c)$ Tension | $(iii)$ ${ML}^{2} {T}^{-2}$ |
$(d)$ Surface Tension | $(iv)$ ${MI} {T}^{-2}$ |
Choose the most appropriate answer from the option given below :
Inductance $L$ can be dimensionally represented as
The dimensional formula of permeability of free space $\mu_0$ is