Transporting Alpha Particles(Helium Nuclei). Design a part ofa transport system

Question

Transporting Alpha Particles(Helium Nuclei). Design a part ofa transport system which will deflect the beam of alphaparticles (m=6.64 x 10-27kg, q= 3.2 x 10-19C) through an angle of 90 degrees by using a magnetic field. The beam will be traveling horizontally in an evactuated tube. Atthe place the tube is to make a 90 degree turn you place a dipolemagnet which provides a uniform vertical magnetic field of 0.030 T. Your design has a tube of the appropiate shape between thepoles of the magnet. Determine how long the alpha particleswill spend in the uniform magnetic field.

Explanation / Answer

We that        F = mv2/r =qvBsin90 = qvB ==> r = mv / qB We also know that          T = 2r /v ==> T = 2m / qB Given that          m=6.64 x10-27kg          q = 3.2 x10-19 C          B = 0.030T Therefore              T = 2 * 3.14 * 6.64 x 10-27 / 3.2 x 10-19 *0.030                 = 4.3436s

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