Wednesday Homework Problem 8.14 An alpha particle is a Helium nucleus and has tw

Question

Wednesday Homework Problem 8.14 An alpha particle is a Helium nucleus and has twice the charge and four times the mass of a proton( the mass of a proton is mp-1.67x 10-2rkg and the charge of a proton is gp +1.6x 10-19C). It enters a magnetic field with strength B 0.1T drawn to the right with the velocity shown and travels in a circular path of radius 5cm (a)Assuming the particle exits travelling in the oppo- site direction it entered, draw the trajectory of the particle through the field at the right. (b)Compute the velocity of the particle.

Explanation / Answer

part A:

tracjectory of particle is a circle inside the field

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part B

from energy considerations

0.5 mv^2 = qvB

r = mv /qB

v = qBr/m

v = (2 *1.6 *10^-19 * 0.1* 0.05)/(4*1.67*10^-27)

v = 2.4 *10^5 m/s

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