Question
A large number of individual protons have been fixed along aline at uniformly spaced intervals of 5a_B, where a_B is the Bohrradius (a fundamental constant), which for this problem merelyrepresents a very small distance. a) This line of protons may be treated as an infinite line ofuniformly-distributed charge with = q_p/(5*a_B), where q_p denotes the charge on anindividual proton. Calculate . b) A single proton is in a circular orbit about this line ofcharge. The orbit is centered on and normal to the line of charge.Determine the radius R of the orbit of the electron for the case inwhich its frequency is 150 GHz. Neglect the effect ofgravity. Step by step solutions please.... A large number of individual protons have been fixed along aline at uniformly spaced intervals of 5a_B, where a_B is the Bohrradius (a fundamental constant), which for this problem merelyrepresents a very small distance. a) This line of protons may be treated as an infinite line ofuniformly-distributed charge with = q_p/(5*a_B), where q_p denotes the charge on anindividual proton. Calculate . b) A single proton is in a circular orbit about this line ofcharge. The orbit is centered on and normal to the line of charge.Determine the radius R of the orbit of the electron for the case inwhich its frequency is 150 GHz. Neglect the effect ofgravity. Step by step solutions please....
Explanation / Answer
(a) =1.6*10-19 /(5*r0 =5,3.10-11 m)=6.04*10-10 C/m (b)frequency f=1/T T=2r/v electric forceF=E(r)*q=m*v2/r=/20r*q => v=3.22*104 m/s => r=3.42*10-8 m