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A positively charged thin metal ring of ...

A positively charged thin metal ring of radius R is fixed in the xy plane with its centre at the origin O. A negatively charged particle P is released from rest at the point `(0, 0, z_0)` where `z_0gt0`. Then the motion of P is

A

periodic, for all values of `z_0` satisfying `0ltz_0ltoo`.

B

simple harmonic, for all values of `z_0` satisfying `0ltz_0leR`

C

approximately simple harmonic, provided `z_0lt lt R`

D

such that P crosses O and continues to move along the negative z-axis toward `z = -oo`.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the motion of a negatively charged particle \( P \) released from rest at the point \( (0, 0, z_0) \) in the presence of a positively charged thin metal ring located in the xy-plane at the origin. ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have a positively charged ring with radius \( R \) lying in the xy-plane, centered at the origin \( O(0, 0, 0) \). - A negatively charged particle \( P \) is placed at the point \( (0, 0, z_0) \) where \( z_0 > 0 \). ...
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