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Question: Answered & Verified by Expert
Two large insulating plates having surface charge densities + σ and σ are fixed at a distance d from each other. A small test charge q of mass m is attached to two identical springs as shown in the figure. The charge q is now released from rest with springs in natural length. Then q will (neglect gravity) 


PhysicsElectrostaticsNEET
Options:
  • A perform SHM with angular frequency km
  • B perform SHM with amplitude σq2kε0
  • C not perform SHM but will have a periodic motion
  • D remain stationary
Solution:
1709 Upvotes Verified Answer
The correct answer is: perform SHM with amplitude σq2kε0
Electric field between plates is uniform hence electrostatic force due to this field is constant. Angular frequency does not change by constant force equilibrium position will be at the point where 2kx0=q×σ0;x0=σq2k0

x0 is also the amplitude of oscillation

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