(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

an isotope separator is used to separate charged particles having different masses. assume that two types of particles enter a region of constant magnetic field with the same kinetic energy, and assume that all particles have the same charge.

the radius of the circular path followed by the heavier particles is found to be 1.1 times that for the lighter particles. what is the ratio of their masses?

2. Relevant equations

kinetic energy U = 1/2(CV^2) = KE = 1/2(mv^2) where C is capacitance, V is electric potential, m is mass, v is velocity

radius r = mv/qB where q is charge, B is magnetic field

3. The attempt at a solution

i set up two relationships using both equations for each particle, the lighter and the heavier.

lighter particle:

r = mv/qB = ---> v = rqB/m ---> KE = 1/2(mv^2) = 1/2(m(rqB/m)^2) = (rqB)^2/2m

heavier particle:

i want to use the r = mv/qB but since both particles have same kinetic energy, the mass will be greater but the velocity will be lower than that of the lighter particle.

what would be the best way to determine the mass and velocity of the heavier particle? should i assume an arbitrary amount, say two times greater?

is my approach for the lighter particle along the right lines, or is there a better way?

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# Homework Help: Finding mass of charged particle - magnetic field

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