Question:

A physical quantity of the dimensions of mass that can be formed out of c, G, and e, where c is velocity of light, G is universal constant of gravitation, and e is charge, ε₀ is electrical permittivity.

c[Ge28πϵ0]12

c0[Ge28πϵ0]12

c0[Ge28πϵ0]2

c[e2G8πϵ0]12

According to question
c=LT⁻¹
a=L³T⁻⁶M⁻¹
e=TA
ε₀=L⁻³T⁴A²M⁻¹
Now,
(c²[Ge²/4πε₀])¹/² = (L²T⁻² × (L³T⁻⁶M⁻¹)) × (L⁻³T⁴A²)¹/² = L