Statement-1 : Two satellites of mass `3 M` and `M` orbit the earth in circular orbits of radii `r` and `3r` respectively. The ratio of their speeds is `sqrt(3) : 1`.
Statement-2 : Orbital velocity of satellite is
`upsilon = sqrt((GM)/(r ))`

Options

A. Statement -1 is true , Statement -2 is true , Statement-2 is a correct explanation of Statement -1.
B. Statement -1 is true , Statement-2 is true , Statement-2 is a correct explanation of Statement-1.
C. Statement-1 is true , Statement-2 is false.
D. Statement-1 is false , Statement-2 is true.

Answer

A

Explanation

Here, both statement-1 and statement-2 are correct.
As `upsilon = sqrt((GM)/(r ))`
i.e., `upsilon prop (1)/(sqrt(r ))` , so `(upsilon_(1))/(upsilon_(2)) = sqrt((r_(2))/(r_(1))) = sqrt((3r)/(r )) = sqrt(3)`.