If E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, the quantity (El^(2)//m^(5)G^(2))has the dimensions of

If E, m, l and G denote energy, mass, angular momentum and gravitation

1.	If E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, the quantity (El^(2)//m^(5)G^(2))has the dimensions of
Answer» angle LENGTH mass time Solution :`[E]= [ML^(2)T^(-2)], [m]= [M], [l]= [ML^(2)T^(-1)]` `[G]= ([MLT^(-2)][L^(2)])/([M^(2)])= [M^(-1)L^(3)T^(-2)]` `:. [(El^(2))/(m^(5)G^(2))]= ([ML^(2)T^(-2)][M^(2)L^(4)T^(-2)])/([M^(5)][M^(-2)L^(6)T^(-4)])= [M^(0)L^(0)T^(0)]` As angle has no dimensions so this has the same dimensions as that of angle.