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Two satellites M and N go around the ear...

Two satellites `M` and `N` go around the earth in circular orbits at heights of `R_(M)` and `R_(N)` respectively from the surrface of the earth. Assuming the earth to be a uniform sphere of radius `R_(E)`, the ratio of velocities of the satellites `(V_(M))/(V_(N))` is

A

`sqrt(R_B/R_A)`

B

`(R_B + R_e)/(R_A + R_e)`

C

`sqrt((R_B + R_e)/(R_A + R_e))`

D

`(R_A/R_B)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since orbital velocity is inversely proportional to the square root of the radius of the orbit,
` therefore v_A/v_B = sqrt((R_B + R_e)/(R_A + R_e))`
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