The following are the given statements:
 

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.



Choose the correct alternatives:

1. (b, d)

2. (a, c)

3. (c, d)

4. (a, c, d)

Hint: Use the concept of factors affecting the acceleration due to gravity.
Step 1:Find the effect of height and depth on the acceleration due to gravity.
Acceleration due to gravity at altitude h, gh=g(1+h/R)2g1-2hR
At depth d, gd=g1-dR
In both cases with an increase in h and d, g decreases.
Explanation:
Step 2: Find the effect of latitude on the acceleration due to gravity.
At latitude                gϕ=g-ω2Rcos2ϕ
As  increases, increases.
Also, we can conclude from the formulae, that it is independent of the mass of the Earth.