The mass of this ion is 1.16*10^-26kg.
To find the answer, we have to know about the force acting on a particle circulating in a uniform magnetic field.
How to find the mass of this ion?
- Let us consider that, a particle of mass m with charge q moving with velocity v in a circular orbit of radius r, then the centripetal force of it's path will be equal to the Lorentz magnetic force.
[tex]F_c=F_B\\\frac{mv^2}{r} =qvB\\[/tex]
- Thus, the mass of the doubly charged ion will be,
[tex]m=\frac{qBr}{v} =\frac{2*1.67*10^{-19}*0.8*30*10^{-2}}{6.9*10^6} \\m=1.16*10^{-26}kg[/tex]
Thus, we can conclude that, the mass of this ion is 1.16*10^-26kg.
Learn more about the force here:
https://brainly.com/question/11701736
#SPJ4
