Question

If E, m, J and G represent energy, mass, angular momentum
and gravitational constant respectively, then the
dimensional formula of EJ² /m⁵G² is
(a) angle (b) length
(c) mass (d) time

Answer 1

Explanation:

E]=[ML2T−2],[m]

=[M][l]=[ML2T−1],[G]=[M−1L3T−2]

∴[m5G2El2]=[M5][M−2L6T−4][ML2T−2][M2L4T−2]

=[M0L0T0]

As angle has no dimensions, therefore m5G2El5 has the same dimensions as that of angle.