Tipler6 26.P.071. 12 3 An alpha particle (charge +2e) travels in a circular path
ID: 1788360 • Letter: T
Question
Tipler6 26.P.071. 12 3 An alpha particle (charge +2e) travels in a circular path of radius 0.4 m in a region with a magnetic field whose magnitude is 0.8 T. (The mass of an alpha particle is 6.65 x 1027 kg.) 1) (a) Find the period 012 alpha particle. HS Submit You currently have 0 submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question 2) (b) Find its speed. m/s Submit You currently have 0 submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question. 3) (c) Find its kinetic energy MeV Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.Explanation / Answer
1] We know that, T = 2pi r / v and v = qrB/m
T = 2 pi r m/qrB = 2pi m/qB= 2pi*6.65e-27/[3.2e-19*0.8] = 1.63*10^-7 s answer
2] v = qrB/m = [3.2e-19*0.4*0.8]/6.65e-27 = 15398496 m/s
3] KE = 0.5mv^2 = 0.5*6.65e-27*15398496 ^2 = 7.8840298e-13 J = 7.8840298e-13/1.6e-13 MeV
= 4.93 MeV answer
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