Two large non conducting plates having surface charge densities `+sigma` and `-sigma` respectively, are fixed `d` distnce apart. A small test charge `q` of mass `m` is attached to two non conducting springs each of spring constant `k` as shown in the figure. The sum of lengths of both springs in underformed state is `d`. The charge `q` is released from rest with both the springs nondeformed. then charge `q` will (neglect gravity)

Options

A. perform SHM with angular frequecy `sqrt(k/m)`
B. perform SHM with amplitude `(sigma q)/(2kepsilon_0)`
C. not perform SHM but will have a periodic motion
D. remain stationary

Answer

B