JEE Main Physics E & M #42 Dimensional Analysis

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If e is the electron charge, c is the speed of light in free space and A is Planck’s constant. The Quantity [1/(4(pi)(epison0)][(|e|^2)/(hc)] has dimensions of:
A) [ Lc^-1]
B) [ (M^0)(L^0)(T^0)]
C) [ML(T^0)]
D) [ML(T^-1)]

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[Dyslexic-Artist-Theory-on-Time]

To me it seems the maths is representing geometry as in a geometrical process. We have charge as a sphere forming the inverse square law with the radius squared r², because the process is relative to the spherical surface 4πr².

[dlrmfemilianolako]

Thanks, professor . I want to ask, do you have any video for surface equations that are in algebraic curves?

[DKFX]

If we substituted h*c with the regular expression r^2, which is length squared. Would we then get joules per second divided by length squared as the dimensions?