If $V$ denotes the potential difference across the plates of a capacitor of capacitance $C$, the dimensions of $C{V^2}$are
  • ANot expressible in $MLT$
  • B$ML{T^{ - 2}}$
  • C${M^2}L{T^{ - 1}}$
  • D$M{L^2}{T^{ - 2}}$
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
    If $\varepsilon_0$ is permittivity of free space, $e$ is charge of proton, $G$ is universal gravitational constant and $m_p$ is mass of a proton then the dimensional formula for $\frac{e^2}{4 \pi \varepsilon_0 G m_p{ }^2}$ is
    View Solution
  • 2
    Applying the principle of homogeneity of dimensions, determine which one is correct. where $\mathrm{T}$ is time period, $\mathrm{G}$ is gravitational constant, $M$ is mass, $r$ is radius of orbit.
    View Solution
  • 3
    The values of a number of quantities are used in a mathematical formula. The quantity that should be most precise and accurate in measurement is the one
    View Solution
  • 4
    If $L = 2.331\, cm$, $B = 2.1\, cm$, then $L + B =$
    View Solution
  • 5
    In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)

    $(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$

    View Solution
  • 6
    The dimensions of calorie are
    View Solution
  • 7
    The unit of length, velocity and force are doubled. Which of the following is the correct change in the other units?
    View Solution
  • 8
    The dimensions of "time constant" $\frac{L}{R}$ during growth and decay of current in all inductive circuit is same as that of
    View Solution
  • 9
    If $R$ and $L$ represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency
    View Solution
  • 10
    The units of angular momentum are
    View Solution