The speed of light $(c)$, gravitational constant $(G)$ and planck's constant $(h)$ are taken as fundamental units in a system. The dimensions of time in this new system should be
${G^{1/2}}{h^{1/2}}{c^{ - 5/2}}$
${G^{ - 1/2}}{h^{1/2}}{c^{1/2}}$
${G^{1/2}}{h^{1/2}}{c^{ - 3/2}}$
${G^{1/2}}{h^{1/2}}{c^{1/2}}$
If $V$ denotes the potential difference across the plates of a capacitor of capacitance $C$, the dimensions of $C{V^2}$are
The velocity of a freely falling body changes as ${g^p}{h^q}$ where g is acceleration due to gravity and $h$ is the height. The values of $p$ and $q$ are
The dimension of $\frac{1}{2} \varepsilon_0 E ^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is
The dimensional formula for $r.m.s.$ (root mean square) velocity is
If electronic charge $e$, electron mass $m$, speed of light in vacuum $c$ and Planck 's constant $h$ are taken as fundamental quantities, the permeability of vacuum $\mu _0$ can be expressed in units of