A positively charged thin metal ring of radius R is fixed in the xy plane its centre at the origin 0. A negatively charged particle P is released from rest at the point (0, 0, z 0 ) where z 0 > 0. Then the motion of P is (a) periodic, for all values of z 0 , satisfying 0 0 (b) simple harmonic, for all values of z o satisfying 0 0 = R (c) approximately simple harmonic, provided z 0 (d) such that P crosses O and continues to move along the negative z axis towards z = - 8

A positively charged thin metal ring of radius R is fixed in the xy plane its centre at the origin 0.A negatively charged particle P  is released from rest at the point (0, 0, z₀) where z₀ > 0. Then the motion of P is

 

(a) periodic, for all values of z₀, satisfying 0 < z₀ < 8

(b) simple harmonic, for all values of z_o satisfying 0 < z₀ = R

(c) approximately simple harmonic, provided z₀ << R

(d) such that P crosses O and continues to move along the negative z axis towards z = - 8