1. Tardigrade
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  3. Physics
  4. A particle A of mass m and charge Q moves directly towards a fixed particle B, which has charge Q . The speed of A is a v when it is far away from B. The minimum separation between the particles is not proportional to

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Q. A particle $A$ of mass $m$ and charge $Q$ moves directly towards a fixed particle $B$, which has charge $Q .$ The speed of $A$ is a $v$ when it is far away from $B$. The minimum separation between the particles is not proportional to

Electrostatic Potential and Capacitance

Solution:

$\frac{1}{2} m v^{2}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q^{2}}{r_{\min }}$
or $r_{\min }=\frac{2 Q^{2}}{\left(4 \pi \varepsilon_{0}\right) m v^{2}}$
Clearly $r_{\min } \propto Q^{2} \propto \frac{1}{m} \propto \frac{1}{v^{2}}$