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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22/12/2021 12:42 pm
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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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22/12/2021 12:48 pm
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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