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A large insulating thick sheet of thickness 2d carries a uniform charge per unit volume . A particle of mass m, carrying a charge q having a sign opposite to that of the sheet is released from the surface of the sheet. The sheet does not offer any mechanical resistance to the motion of the particle. Find the oscillation frequency u of the particle inside the sheet.
If we draw a cuboid Gaussian surface of lateral cross-section A and height h and width 2x where x distance from central line, then E will be pointing as shown (by symmetry). -2EA Zenclosed (Flux through lateral surface if E Electric field at distance x) enclosed [(1) (2x)(h)] 2EA enclosed 0 0 0 eo 0
So, E- Front view eo 0 Force qE 0 2 0 om 0 2d