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If 'E' represents energy, 'G' represents gravitational constant, 'M' represents mass & 'L' represents angular momentum; find [G^-2M^2E^-3L^3]

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If 'E' represents energy, 'G' represents gravitational constant, 'M' represents mass & 'L' represents angular momentum; find [G-2M2E-3L3]

(a) [M4L-6T7]

(b) [M2L2T2]

(c) [M-3L-3T-4]

(d) [M-4L-2T2]

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Correct answer: (a) [M4L-6T7]

Explanation:

Dimensional formulae for given quantities

G[M-1L3T-2]

E [ML2T-2]

M[M]

L[ML2T-1]

∴ [G-2M2E-3L3]

= [M-1L3T-2]-2 [M]2[ML2T-2]-3[ML2T-1]3

= [M4L-6T7]

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