Question

The magnitude of acceleration due to gravity decreases

• A. as the height from the surface of the earth increases
• B. as the depth from the surface of the earth increases
• C. as one moves from the pole of the earth to its equator
• D. All the above

Answer 1

The correct option is D All the above

Function of g with respect to height from the ground is
$g_h=g(1-\frac{2h}{R})$ for h <<R
So as 'h' increases, the acclelration due to gravity decreases.
Function of g with respect to depth from the surface is
$g_r=g(1-\frac{x}{R})$ x is the distance of the point from the surface of the earth.
As the depth increases, the value of g also decreases.
At the equator ], the net gravitational force is $=$ Actual gravitational force - centrifugal force.
At the poles, the centrifugal force is zero and highest at the equator.