A charged particle with charge $q$ and mass $m$ starts with an initial kinetic energy $K$ at the centre of a uniformly charged spherical region of total charge $Q$ and radius $R$. Charges $q$ and $Q$ have opposite signs. The spherically charged region is not free to move and kinetic energy $K$ is just sufficient for the charge particle to reach boundary of the spherical charge. How much time does it take the particle to reach the boundary of the region?
A charged particle with charge $q$ and mass $m$ starts with an initial kinetic energy $K$ at the centre of a uniformly charged spherical region of total charge $Q$ and radius $R$. Charges $q$ and $Q$ have opposite signs. The spherically charged region is not free to move and kinetic energy $K$ is just sufficient for the charge particle to reach boundary of the spherical charge. How much time does it take the particle to reach the boundary of the region?
- A
$\sqrt[\pi ]{{\frac{{4\pi {\varepsilon _o}m{R^3}}}{{qQ}}}}$
- B
$\sqrt[{\frac{\pi }{2}}]{{\frac{{4\pi {\varepsilon _o}m{R^3}}}{{qQ}}}}$
- C
$\sqrt[{\frac{\pi }{4}}]{{\frac{{4\pi {\varepsilon _o}m{R^3}}}{{qQ}}}}$
- D
None of the above.
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