Bangladesh will launch a geo-stationary satellite of mass 3500 kg at an orbital distance h from the earth surface as shown in the following figure with given condition. \( \mathrm{E}= \) Earth, \( \mathrm{S}= \) Geo-stationary satellite, time period \( =24 \) Hours. \( R=6.4 \times \) \( 10^{6} \mathrm{~m}, \mathrm{M}=6 \times 10^{24} \mathrm{~kg}, \mathrm{G}=6.7 \times \) \( 10^{-11} \mathrm{Nm}^{2} \mathrm{~kg}^{-1} \) . What will the height of the satellite to be launched?

A \( 3.60 \times 10^{7} \mathrm{~m} \)

B \( 3.75 \times 10^{7} \mathrm{~m} \)

C \( 3.83 \times 10^{7} \mathrm{~m} \)

D \( 3.95 \times 10^{7} \mathrm{~m} \)

Solution

Correct Answer: Option A

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