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Two charges +Q each r fixed at x = -a & x = +a..... A particle of mass m & charge -q placed at origin is given a small displacement along y- axis ... Find time period of S.H.M.???ppz expln..!!!
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Two charges +Q each r fixed at x = -a & x = +a..... A particle of mass...
It is one of the best questions of electrstatsBoth +q charge will apply force on -q charge The resultant force will pull it towards the originHence the charge comes to origin but due to inertiaIt keeps moving and goes in -Y axis Again +q charges apply force and this continues Hence -q charge starts doing shm on y axis
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Two charges +Q each r fixed at x = -a & x = +a..... A particle of mass...
Given Information:
- Two charges +Q each fixed at x = -a & x = +a
- A particle of mass m and charge -q placed at the origin
- Particle given a small displacement along the y-axis

Analysis:
- The system forms a simple harmonic motion (S.H.M.) due to the coulombic force between the charges and the charge of the particle
- The restoring force acting on the particle is proportional to the displacement from equilibrium position

Calculating Time Period of S.H.M.:
- The net force on the particle is due to the electric force between the particle and the charges
- The force can be calculated using Coulomb's law and considering the equilibrium position as the point where the net force is zero
- The restoring force can be calculated using the principle of superposition of forces
- By equating the restoring force to the force constant times the displacement, we can determine the angular frequency of the S.H.M.
- The time period of the S.H.M. can be calculated using the formula T = 2π/ω

Conclusion:
- By analyzing the system of charges and the particle, we can determine the time period of the simple harmonic motion induced by the electrostatic forces
- The time period of the S.H.M. gives us information about the oscillatory behavior of the particle along the y-axis due to the forces acting on it
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Two charges +Q each r fixed at x = -a & x = +a..... A particle of mass m & charge -q placed at origin is given a small displacement along y- axis ... Find time period of S.H.M.???ppz expln..!!!
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