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Four identical point masses, each of mass \(m\) and carrying charge \(+q\) are placed at the corners of a square of sides 'a' on a frictionless plain surface. If the particles are released simultaneously, the kinetic energy of the system when they are infinitely far apart is
(A) \(\frac{q^{2}}{a}(2 \sqrt{2}+1)\)
(B) \(\frac{q^{2}}{a}(\sqrt{2}+2)\)
(C) \(\frac{q^{2}}{a}(\sqrt{2}+4)\)
(D) \(\frac{q^{2}}{a}(\sqrt{2}+1)\)

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Ans: (C)
 \(K E_{i}+P E_{i}=K E_{f}+P E_{f}\)
\(\therefore K E_{f}=P E_{i}=4 \frac{K q^{2}}{a}+2 \frac{K q^{2}}{\sqrt{2} a}=\frac{K q^{2}}{a}(4+\sqrt{2}), K=1\) in C.G.S. unit
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