Correct option (a)
Explanation:

For a point inside the earth i.e. r<R
E = GM/R3 r
where M and R be mass and radius of the earth respectively.
At the centre, r = 0
.'. E = 0
For a point outside the earth i.e. r<R
E = GM/r2
On the surface of the earth i.e. r = R.
E = GM/R2
The variation of E with distance r from the centre is as shown in the figure.