If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are
  • A${M^0}{L^0}{T^0}$
  • B${M^0}{L^0}{T^2}$
  • C${M^2}{L^0}{T^2}$
  • D$ML{T^2}$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Dimensions of stress are 
    View Solution
  • 2
    The quantities $\quad x=\frac{1}{\sqrt{\mu_{0} \epsilon_{0}}}, y=\frac{E}{B}$ and $z=\frac{l}{C R}$ are defined where $C-$ capacitance $R-$Resistance, $l-$length, $E-$Electric field, $B-$magnetic field and $\varepsilon_{0}, \mu_{0},$ -free space permittivity and permeability respectively. Then....
    View Solution
  • 3
    In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, $[E]$ and $[B]$ stand for dimensions of electric and magnetic fields respectively, while $\left[\varepsilon_0\right]$ and $\left[\mu_0\right]$ stand for dimensions of the permittivity and permeability of free space respectively. $[L]$ and $[T]$ are dimensions of length and time respectively. All the quantities are given in $SI$ units.

    ($1$) The relation between $[E]$ and $[B]$ is

    $(A)$ $[ E ]=[ B ][ L ][ T ]$  $(B)$ $[ E ]=[ B ][ L ]^{-1}[ T ]$  $(C)$ $[ E ]=[ B ][ L ][ T ]^{-1}$  $(D)$ $[ E ]=[ B ][ L ]^{-1}[ T ]^{-1}$

    ($2$) The relation between $\left[\varepsilon_0\right]$ and $\left[\mu_0\right]$ is

    $(A)$ $\left[\mu_0\right]=\left[\varepsilon_0\right][ L ]^2[ T ]^{-2}$  $(B)$ $\left[\mu_0\right]=\left[\varepsilon_0\right][ L ]^{-2}[ T ]^2$   $(C)$ $\left[\mu_0\right]=\left[\varepsilon_0\right]^{-1}[ L ]^2[ T ]^{-2}$  $(D)$ $\left[\mu_0\right]=\left[\varepsilon_0\right]^{-1}[ L ]^{-2}[ T ]^2$

    Give the answer or quetion ($1$) and ($2$)

    View Solution
  • 4
    The dimensional formula of angular velocity is
    View Solution
  • 5
    The $S.I.$ unit of gravitational potential is
    View Solution
  • 6
    If speed $(V)$, acceleration $(A)$ and force $(F)$ are considered as fundamental units, the dimension of Young’s modulus will be
    View Solution
  • 7
    A body of mass $(5 \pm 0.5) kg$ is moving with a velocity of $(20 \pm 0.4) m / s$. Its kinetic energy will be
    View Solution
  • 8
    The dimensional formula for electric flux is $..........$
    View Solution
  • 9
    If $L = 2.331\, cm$, $B = 2.1\, cm$, then $L + B =$
    View Solution
  • 10
    The area of a rectangular field (in $m ^{2}$) of length $55.3\,m$ and breadth $25 \;m$ after rounding off the value for correct significant digits is
    View Solution