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A synchronous satellite goes around the earth once in every \( 24 \mathrm{~h} \). What is the radius of orbit of the synchronous satellite in terms of the earth's radius (Given mass of the earth, \( m_{e}=5.98 \times 10^{24} \mathrm{~kg} \), radius of earth, \( r_{e}=6.37 \times 10^{6} \mathrm{~m} \), Universal constant of gravitation, \( G=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2} \) ) [DUMET 2009]
(a) \( 2.4 r_{e} \)
(b) \( 3.6 r_{e} \)
(c) \( 4.8 r_{e} \)
(d) \( 6.6 r_{e} \)
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