A point mass m, is placed at the surface of a hypothetical planet where acceleration due to gravity is `g/2`, where g acceleration due to gravity at the poles the planet. The latitude of that position is [T is time period of planet rotation about its own axis and R is radius of planet]

Options

A. Zero
B. `Cos^-1 sqrt((gT^2)/(8π^2R))`
C. `cos^-1((gT^2)/(8π^2R))`
D. `45°`