Which of the following options are correct?

Options

A. Acceleration due to gravity decreases with increasing altitude
B. Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density)
C. Acceleration due to gravity increases with increasing latitude
D. Acceleration due to gravity is independent of  the mass of the earth

Answer

A, C, D

Explanation

Acceleration due to gravity,
at altitude, `g_h~~g(1-(2h)/R)`

At depth d, `g_d = g(1- d/R)`
In both cases, g decreases with increase in h and d.
At latitude `phi,g_0 = g - omega^(2) Rcos^(2) phi`
In this case , `g_phi` increases with increase in `phi` , Also g is independent of mass.