Gravitational Potential of a Shell

Q. For the above problem, the direction of the gravitational intensity at an arbitrary point P is indicated by the arrow (i) d, (ii) e, (iii) f, (iv) g.

Q. A spherical shell is cut into two pieces along a chord as shown in the figure. $P$ is a point on the plane of the chord. The gravitational field at $P$ due to the upper part is $I_1$ and that due to the lower part is $I_2$. What is the relation between them?

1. 
   $I_1>I_2$
2. 
   no definite relation
3. 
   $I_1<I_2$
4. 
   $I_1=I_2$

Q. A ball of mass $m$ moving with speed $u$ undergoes a head on perfect elastic collision with mass $nm$ initially at rest. The fraction of the energy transferred to the second ball by the first ball is

1. $\frac{n}{(1+n)}$
2. $\frac{n}{(1+n{)}^2}$
3. $\frac{2n}{(1+n{)}^2}$
4. $\frac{4n}{(1+n{)}^2}$