With what minimum speed should `m` be projected from point `C` in presence of two fixed masses `M` each at `A` and `B` as shows in the figure such that mass `m` should escape the gravitational attraction of `A` and `B` ?

Options

A. `sqrt((2GM)/(R))`
B. `sqrt((2 sqrt(2) GM)/(R))`
C. `2 sqrt((GM)/(R))`
D. `2 sqrt(2) sqrt((GM)/(R))`

Answer

B

Explanation

`(1)/(2) mv_("min")^(2) - (GMm)/(R sqrt(2)) xx 2 = 0 rArr v_("min") = sqrt((2GM sqrt(2))/(R))`