Two particles of equal mass 'm' and equal charge 'q' are separated by a distance of 16 cm. They do not experience any force. The value of \(\frac{q}{m}\) is _____ (if 'G' is the universal gravitational constant and 'g' is the acceleration due to gravity).
1
\(\sqrt{4\pi\epsilon_{0}G}\)
2
\(\sqrt{\frac{G}{4\pi\epsilon_{0}}}\)
3
\(\sqrt{\frac{\pi\epsilon_{0}}{G}}\)
4
\(\sqrt{4\pi\epsilon_{0}g}\)