JEE Main 27 July 2021 Shift 1 Solved Paper

Suppose two planets (spherical in shape) of radii R and 2R, but mass M and 9 M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M' directly towards the centre of the second planet. The minimum speed 'v' required for the satellite to reach the surface of the second planet is √

a

7

GM

R

then the value of 'a' is ________.
[Given : The two planets are fixed in their position]