A positive ion A and a negative ion B has charges 6.67 x 10^{-19} C and 9.6 x 10^{-10} C

Question

A positive ion A and a negative ion B has charges \(6.67 \times 10^{-19}\ \mathrm{C}\) and \(9.6 \times 10^{-10}\ \mathrm{C}\), and masses \(19.2 \times 10^{-27} \mathrm{~kg}\) and \(9 \times 10^{-27} \mathrm{~kg}\) respectively. At an instant, the ions are separated by a certain distance r. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is \(\mathrm{P} \times 10^{-13}\), where the value of P is _____ .

(Take \(\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \ \mathrm{Nm}^{2} \mathrm{C}^{-1}\) and universal gravitational constant as \(6.67 \times 10^{-11} \ \mathrm{Nm}^{2} \mathrm{~kg}^{-2}\))

Answer 1

\(\frac{9 \times 10^{9} \times 6.67 \times 10^{-19} \times 9.6 \times 10^{-10}}{6.67 \times 10^{-11} \times 19.2 \times 10^{-27} \times 9 \times 10^{-27}}\) 

\( \frac{1}{2} \times 10^{45}\) 

Charge is not integral multiple of electron.