If $y$ represents pressure and $x$ represents velocity gradient, then the dimensions of $\frac{d^2 y}{d x^2}$ are
$\left[ ML ^{-1} T ^{-2}\right]$
$\left[ M ^2 L ^{-2} T ^{-2}\right]$
$\left[ ML ^{-1} T ^0\right]$
$\left[ M ^2 L ^{-2} T ^{-4}\right]$
Applying the principle of homogeneity of dimensions, determine which one is correct. where $\mathrm{T}$ is time period, $\mathrm{G}$ is gravitational constant, $M$ is mass, $r$ is radius of orbit.
Dimensions of time in power are
The dimensions of Stefan-Boltzmann's constant $\sigma$ can be written in terms of Planck's constant $h$, Boltzmann's constant $k_B$ and the speed of light $c$ as $\sigma=h^\alpha k_B^\beta c^\gamma$. Here,
The dimensions of universal gravitational constant are
What is Dimensional Analysis ? State uses of Dimensional Analysis.