Question

Which of the following options are correct ?
A. Acceleration due to gravity decrease with icreasing altitude
B. Acceleration due to gravity increase with increasing depth (assume the earth to be a sphere of uniform density)
C. Acceleration due to gravity increase with increasing latitude
D. Acceleration due to gravity is independent of the mass of the earth

Answer 1

Correct Answer - A::C::D
Acceleration due to gravity at altitude `h, g_(h) = (g)/((1 + h//R)^(2)) ~~ g (1 - (2h)/(R))`
At depth `d, g_(d) = g (1 - (d)/(R))`
In both cases with increase in `h` and `d, g` decreases
At latitude `phi, " " g_(phi) = g - omega^(2) R cos^(2) phi`
As `phi` increases `g_(phi)` increases
Also, we can conclude from the formulae, that it is independent of mass