Q. 335.0( 4 Votes )
Repeat the previo
Charge of particles A and B : q = Q
Separation between A and B : d
Here x is the displacement of particle C along AB.
Distance between A and C is :
Distance between B and C is :
For part (a), we will be using Coulomb’s Law,
Where F is the electrostatic force on B due to A, k is a constant .
k = = 9× 109 Nm2C-2 and r is the distance between the two charges.
now, the net force acting on C is:
Fnet is the net electric force experience by particle C of charge q.
Thus x2 can be neglected.
∴ Fnet α x
Thus, when x≪d force is proportional to x
The condition for Simple harmonic Motion of a particle is:
Here, m is the mass of the particle C, ω is the angular frequency.
Let Fnet = F’
Thus comparing two equations of F’, we get
We know that Where t is the Time Period.
Hence time period when particle is displaced along AB is
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