The period, of rotation (t), of a planet, round the sun, depends on the (i) universal gravitational constant(G), (ii) mass of the sun (M) and (iii) radius (R), of the planetary orbit. Use the method of dimensional analysis to obtain a formula for t, in terms of G, M and r we get a, b, c as
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(a) We get a = –1/2, b = –1/2 and c = 3/2
(b) We get a = –1, b = –1/2 and c = 3
(c) We get a = –2, b = –2 and c = 2
(d) We get a = –3, b = –2 and c = 1
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(d) We get a = –3, b = –2 and c = 1
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