# In the expression denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.

The dimensional formula of –

Now let us find out the dimension of P

$=\frac{[ML^{2}T^{-2}][ML^{2}T^{-1}]^{2}}{[M]^{5}[M^{-1}L{3}T^{-2}]^{2}}$

$\ \ =\frac{M^3L^{6}T^{-4}}{M^3L^{6}T^{-4}}$

Hence, it is clear that P is a dimensionless quantity.

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