NEET2006PhysicsElectrostaticsActual
Two equal -ve charges -q are fixed at the point (0, a) and (0, -a) on the y -axis. A positive charge Q is released from rest at the poin (2 a, 0) on the x -axis. The charge will :
Options
- Aexecute SHM about the origin
- Bmove to the origin and remain at rest
- Cmove to infinity
- Dexecute oscillatory but not SHM
Correct answer
D. execute oscillatory but not SHM
Step-by-step solution
Component of force on charge +Q at P , along x -axis, aligned F_x & = 2 Q q 4 ₀ (a^2+x^2 ) & = 2 Q q 4 ₀ (a^2+x^2 ) x a^2+x^2 & = 2 Q q x 4 ₀ (a^2+x^2 )^ 3 / 2 aligned Which is not directly proportional to x . So, motion is oscillatory but not SHM.