The dimensions of calorie are
$M{L^2}{T^{ - 2}}$
$ML{T^{ - 2}}$
$M{L^2}{T^{ - 1}}$
$M{L^2}{T^{ - 3}}$
If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are
If dimensions of critical velocity $v_c$ of a liquid flowing through a tube are expressed as$ [\eta ^x \rho ^yr^z]$ where $\eta ,\rho $ and $r $ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of $x, y$ and $z$ are given by
In the equation $y = pq$ $tan\,(qt)$, $y$ represents position, $p$ and $q$ are unknown physical quantities and $t$ is time. Dimensional formula of $p$ is
Write and explain principle of homogeneity. Check dimensional consistency of given equation.
If speed $(V)$, acceleration $(A)$ and force $(F)$ are considered as fundamental units, the dimension of Young’s modulus will be