If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are
${M^0}{L^0}{T^0}$
${M^0}{L^0}{T^2}$
${M^2}{L^0}{T^2}$
$ML{T^2}$
$Assertion$ : Specific gravity of a fluid is a dimensionless quantity.
$Reason$ : It is the ratio of density of fluid to the density of water
The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
If the formula, $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction. The dimensions of $Y$ in $M K S Q$ system are
The Bernoulli's equation is given by $p +\frac{1}{2} \rho v ^{2}+ h \rho g = k$
where $p =$ pressure, $\rho =$ density, $v =$ speed, $h =$ height of the liquid column, $g=$ acceleration due to gravity and $k$ is constant. The dimensional formula for $k$ is same as that for
Which of the following quantities has the same dimensions as that of energy