The formula $X = 5YZ^2$, $X$ and $Z$ have dimensions of capacitance and magnetic field respectively. What are the dimensions of $Y$ in $SI$ units?
$[{M^{ - 2}}\,{L^0}\,{T^{ - 4}}\,{A^{ - 2}}]$
$[{M^{ - 3}}\,{L^{-2}}\,{T^8}\,{A^{ 4}}]$
$[{M^{ - 2}}\,{L^{-2}}\,{T^6}\,{A^3}]$
$[{M^{ - 1}}\,{L^{-2}}\,{T^4}\,{A^2}]$
The focal power of a lens has the dimensions
if Energy is given by $U = \frac{{A\sqrt x }}{{{x^2} + B}},\,$, then dimensions of $AB$ is
If $y$ represents pressure and $x$ represents velocity gradient, then the dimensions of $\frac{d^2 y}{d x^2}$ are
The dimensions of Planck's constant and angular momentum are respectively
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right) = \frac{{b\theta }}{l}$ Where $P$ is the pressure, $V$ the volume, $\theta $ the absolute temperature and $a$ and $b$ are constants. The dimensional formula of $a$ is