complete the writing of the formula for the kinetic energy KE of a particle with
ID: 2298028 • Letter: C
Question
complete the writing of the formula for the kinetic energy KE of a particle with charge q that has been accelerated by passing through a voltage drop V : Combine this formula with the formula for kinetic energy, KE = 1/2 mv2 , to complete the writing of a formula for the particle speed v in terms of its mass m , its charge q , and the voltage drop V complete the writing of a formula for the radius r of the orbit of a specific particle, the electron, with mass m and charge e (the elementary unit of charge), in a magnetic field B : Subsitute the formula for the speed v into the formula for the radius r and then solve for e/m in terms of the accelerating voltage drop V , the magnetic field B , and the radius r . complete the writing of the formula below:Explanation / Answer
1) KE = qV
2) v = sqrt ( 2qV /m)
3) r = mv /eB
4) r = m*sqrt(2eV/m) /eB
=> r = sqrt ( 2mV /eB^2)
=> r^2 = 2mV /eB^2
=> e/m = 2V /(r^2B^2)
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