Positive charge $Q$ is distributed uniformly over a circular ring of radius $R$. A point particle having a mass $(m)$ and a negative charge $-q$ is placed on its axis at a distance $x$ from the centre. Assuming $x < R,$ find the time period of oscillation of the particle, if it is released from there [neglect gravity].
Positive charge $Q$ is distributed uniformly over a circular ring of radius $R$. A point particle having a mass $(m)$ and a negative charge $-q$ is placed on its axis at a distance $x$ from the centre. Assuming $x < R,$ find the time period of oscillation of the particle, if it is released from there [neglect gravity].
- [AIIMS 2018]
- A
$\left[\frac{16 \pi^{3} \varepsilon_{0} R^{3} m}{Q q}\right]^{1 / 2}$
- B
$\left[\frac{8 \pi^{2} \varepsilon_{0} R^{3}}{q}\right]^{1 / 2}$
- C
$\left[\frac{2 \pi^{3} \varepsilon_{0} R^{3}}{3 q}\right]^{1 / 2}$
- D
None of these
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