Two positrons $(e^+)$ and two protons $(p)$ are kept on four corners of a square of side $a$ as shown in figure. The mass of proton is much larger than the mass of positron. Let $q$ denotes the charge on the proton as well as the positron then the kinetic energies of one of the positrons and one of the protons respectively after a very long time will be-
Two positrons $(e^+)$ and two protons $(p)$ are kept on four corners of a square of side $a$ as shown in figure. The mass of proton is much larger than the mass of positron. Let $q$ denotes the charge on the proton as well as the positron then the kinetic energies of one of the positrons and one of the protons respectively after a very long time will be-
- A
$\frac{{{q^2}}}{{4\pi { \in _0}a}}\left( {1 + \frac{1}{{2\sqrt 2 }}} \right),\frac{{{q^2}}}{{4\pi { \in _0}a}}\left( {1 + \frac{1}{{2\sqrt 2 }}} \right)$
- B
$\frac{{{q^2}}}{{2\pi { \in _0}a}},\frac{{{q^2}}}{{4\sqrt 2 \pi { \in _0}a}}$
- C
$\frac{{{q^2}}}{{4\pi { \in _0}a}},\frac{{{q^2}}}{{4\pi { \in _0}a}}$
- D
$\frac{{{q^2}}}{{2\pi { \in _0}a}}\left( {1 + \frac{1}{{4\sqrt 2 }}} \right),\frac{{{q^2}}}{{8\sqrt 2 \pi { \in _0}a}}$
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