The dimension of $\frac{\mathrm{B}^{2}}{2 \mu_{0}}$, where $\mathrm{B}$ is magnetic field and $\mu_{0}$ is the magnetic permeability of vacuum, is

  • [JEE MAIN 2020]
  • A

    $M L^{-1} T^{-2}$

  • B

    $\mathrm{ML}^{2} \mathrm{T}^{-1}$

  • C

    $\mathrm{ML} \mathrm{T}^{-2}$

  • D

    $\mathrm{ML}^{2} \mathrm{T}^{-2}$

Similar Questions

Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of $L$, which of the following statement ($s$) is/are correct ?

$(1)$ The dimension of force is $L ^{-3}$

$(2)$ The dimension of energy is $L ^{-2}$

$(3)$ The dimension of power is $L ^{-5}$

$(4)$ The dimension of linear momentum is $L ^{-1}$

  • [IIT 2019]

In a system of units if force $(F)$, acceleration $(A) $ and time $(T)$ are taken as fundamental units then the dimensional formula of energy is 

A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity ' $\eta$ ' flowing per second, through a tube of radius $r$ and length / and having a pressure difference $P$ across its ends, is

Match List$-I$ with List$-II.$
  List$-I$   List$-II$
$(a)$ Magnetic Induction $(i)$ ${ML}^{2} {T}^{-2} {A}^{-1}$
$(b)$ Magnetic Flux $(ii)$ ${M}^{0} {L}^{-1} {A}$
$(c)$ Magnetic Permeability $(iii)$ ${MT}^{-2} {A}^{-1}$
$(d)$ Magnetization $(iv)$ ${MLT}^{-2} {A}^{-2}$
Choose the most appropriate answer from the options given below:

  • [JEE MAIN 2021]

Time $(T)$, velocity $(C)$ and angular momentum $(h)$ are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

  • [JEE MAIN 2017]