Question:
In the expression P = E l2 m–5 G–2, E, m, l and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.
Solution:
From the problem, P = E l2 m–5 G–2
E is the energy = [ML2T-2]
m is the mass = [M]
L is the angular momentum = [ML2T1]
G is the gravitational constant = [M-1L2T2]
Substituting the values we get, [P] = [M0L0T0]
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