Answer:
Explanation:
Given
Charge of first Particle 
Charge of second Particle 
distance between them 

magnetic field due to first charge at mid-way between two charged particles is



(away from it)
Electric field due to 


(towards it)

(away from first charge)
To develop this problem it will be necessary to apply the concepts related to the frequency of a spring mass system, for which it is necessary that its mathematical function is described as

Here,
k = Spring constant
m = Mass
Our values are given as,


Rearranging to find the spring constant we have that,




Therefore the spring constant is 1.38N/m