Question

What is the percentage change in the value of `g` as we shift from equator to pole on the surface of earth ? (Given equatorial radius of earth is greater than polar radius by `21 km` and mean radius of earth is `6300 km`).
A. `0.52%`
B. `0.67%`
C. `1.67%`
D. `6.7%`

Answer 1

Correct Answer - B
As, `g = (GM)/(R^(2))`
`(Deltag)/(g) = - (2 DeltaR)/(R )`
`:. %` change in the value of `g`
`= (Deltag)/(g) xx 100 = (-2DeltaR)/(R ) xx 100`
`= (-2(-21 km))/((6300 km)) xx 100 = 0.67%`