Suppose a smooth tunnel is dug along a straight line joining two points on the surface of the earth and a particle is dropped from rest at its one end. Assume that mass of the earth is uniformly distributed over its volume. Then, which of the following statements are not correct?

Options

A. the particle will emerge from the other end with velocity `sqrt((GM_(e))/(2R_(e)))` wherer `M_(e)` and `R_(e)` are earth's mass and radius respectively
B. the partice will come to rest at centre of the tunnel because at this position, particle closest to earth centre
C. potential energy of the particle will be equal to zero at centre of tunnel if its is along a diametre
D. acceleration of the particle will be proportional to its distance from midpoint of the tunnel

Answer

D