A ball of mass m is dropped from a height h in a tunnel, made across the earth (mass = M, radius = R) passing through its center. If `h < < R` such that the motion of the particle through h can be considered uniformly accelerated at g, then the time period of the particle is

Options

A. `2pi sqrt(R/g) + sqrt((2h)/g)`
B. `2pi sqrt(R/g) + 2sqrt((h)/g)`
C. `2pi sqrt(R/g) + 4sqrt((2h)/g)`
D. `2pi sqrt((2R)/g) + 2sqrt((h)/g)`

Answer

C