Small oscillations

Consider a point charge +Q of mass m suspended by a massless, inextensible string of length l in free space (permittivity o) as shown in the figure. It is placed at a height d (d > l) over an infinitely large, grounded conducting plane. The gravitational potential energy is assumed to be zero at the position of the conducting plane and is positive above the plane. d +z^ m, +Q (A) (B) If © represents the angular position and Pe its corresponding canonical momentum, then the correct Hamiltonian of the system is 2ml2 16TEO (d - I cos 0) - mg(d - l cos e) 2ml2 STE(d - I cos0) + mg(d - l cose) (C) (D)

Options:

• (A)
• (B) If © represents the angular position and Pe its corresponding canonical momentum, then the correct Hamiltonian of the system is 2ml2 16TEO (d - I cos 0) - mg(d - l cos e) 2ml2 STE(d - I cos0) + mg(d - l cose)
• (C)
• (D)