To solve this problem we will use the concepts given by Coulomb's law defined for force, said law is mathematically described as
[tex]F = \frac{kq_1 q_2}{r^2}[/tex]
Here,
k = Coulomb's constant
[tex]q_{1,2}[/tex]= Charge of two protons
r = Distance between them
F = Force
Our values are given as,
[tex]F =2.3*10^{-26} N[/tex]
[tex]q_1 =q_2 = 1.6*10^{-19} C[/tex]
[tex]k =9*10^9 Nm^2/C2[/tex]
Rearrenging to find the distance and replacing we have that
[tex]r^2=\frac{(9*10^9 )(1.6*10^{-19})^2 }{2.3*10^{-26} }[/tex]
[tex]r^2=10.01*10^{-3} m^2[/tex]
[tex]r =\sqrt{10.01*10^{-3} m^2}[/tex]
[tex]r = 0.100m[/tex]
Therefore the correct option is B.
