If we use permittivity $\varepsilon$,resistance $R$,gravitational constant $G$,and voltage $V$ as fundamental physical quantities,then:

  • A
    [angular displacement] $= \varepsilon^0R^0G^0V^0$
  • B
    [Velocity] $= \varepsilon^{-1}R^{-1}G^0V^0$
  • C
    [force] $= \varepsilon^1R^0G^0V^2$
  • D
    all of the above

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Similar Questions

Which of the following pairs of quantities do not have the same dimensions?

The graph between two quantities $P$ and $Q$ is a straight line passing through the origin when:

Fill in the blanks by suitable conversion of units:
$(a)$ $1\; kg\; m^{2}\; s^{-2} = \ldots\; g\; cm^{2}\; s^{-2}$
$(b)$ $1\; m = \ldots\; ly$
$(c)$ $3.0\; m\; s^{-2} = \ldots\; km\; h^{-2}$
$(d)$ $G = 6.67 \times 10^{-11}\; N\; m^{2}\; kg^{-2} = \ldots\; cm^{3}\; s^{-2}\; g^{-1}$

Some physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$List-$II$
$(1)$ Planck's constant$(i)$ $[ML^{-1} T^{-2}]$
$(2)$ Gravitational constant(ii) $[ML^{-1} T^{-1}]$
$(3)$ Bulk modulus(iii) $[ML^2 T^{-1}]$
$(4)$ Coefficient of viscosity(iv) $[M^{-1} L^3 T^{-2}]$

The correct answer is:

The unit $J \cdot s^2$ corresponds to which physical quantity?

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