Answer:
Distance between dust particles, [tex]r=1.2\times 10^{-7}\ m[/tex]
Explanation:
Given that,
Charge on the dust particle, [tex]q_1=q_2=1.6\times 10^{-19}\ C[/tex]
Force between dust particles, [tex]F=1.6\times 10^{-14}\ N[/tex]
We need to find the distance between two dust particles. The electrostatic force between dust particles is given by :
[tex]F=k\dfrac{q_1q_2}{r^2}[/tex], r = the distance
[tex]r=\sqrt{k\dfrac{q_1q_2}{F}}[/tex]
[tex]r=\sqrt{9\times 10^9\times \dfrac{(1.6\times 10^{-19})^2}{1.6\times 10^{-14}}}[/tex]
[tex]r=1.2\times 10^{-7}\ m[/tex]
So, the distance between two dust particles is [tex]1.2\times 10^{-7}\ m[/tex]. Hence, this is the required solution.
