Oscillating electron

Consider a uniformly positively charged non conducting sphere of volume charge density \(\rho\). An electron is released from its surface.

Considering that the amplitude of the oscillations is less than the sphere's radius, find the time period of its periodic motion (in microseconds).

\(\textbf{Details and Assumptions}\)

  • \(\rho = 2 \times 10^{-7} \ \text{C}/ \text{m}^3\)
  • \(m_e=9.1 \times 10^{-31} \ \text{kg}\)
  • \(\epsilon_0=8.85 \times 10^{-12} \ \text{F}/\text{m}\)
  • \(e\) (charge on electron)\(=-1.6 \times 10^{-19} \ \text{C}\)

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