If orbital velocity of planet is given by

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If orbital velocity of planet is given by $v = {G^a}{M^b}{R^c}$, then

$a = 1/3,\,b = 1/3,\,c = - 1/3$

$a = 1/2,\,b = 1/2,\,c = - 1/2$

$a = 1/2,\,b = - 1/2,\,c = 1/2$

$a = 1/2,\,b = - 1/2,\,c = - 1/2$

If orbital velocity of planet is given by $v = {G^a}{M^b}{R^c}$, then

$v = \sqrt {\frac{{GM}}{R}} $

$ = {G^{1/2}}{M^{1/2}}{R^{ - 1/2}}$

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