(Hint: In this problem, you will save yourself a lot of work by finding the gene

Question

(Hint: In this problem, you will save yourself a lot of work by finding the general expression for part a before plugging in the numbers.) An alpha particle (the nucleus of a helium atom) consists of two protons and two neutrons and a mass of 6.64 10-27 kg. A horizontal beam of alpha particles is injected with a speed of 1.7 x10^5 m/s into a region with a vertical magnetic field of magnitude 0.115 T.

(a) How long does it take for an alpha particle to move through a complete circle? Incorrect: Your answer is incorrect. s

(b) Repeat part (a) for alpha particles with a speed of 3.4 105 m/s. s

Please show work for this problem. Thank You!

Explanation / Answer

Mass of the alpha particle is m = 6.64*10^-27 kg
speed of the particle is v = 1.3*10^5 m/s
magnitude of the magnetic field is B = 0.190 T

Since the particle will be in circular motion

we can write

q* v* B = m v2/R

from this we get

qB/m = v/R = ? = 2?/T

3.2*10-19 * .190 /6.64*10-27 = 2?/T

from here T = 0.686 ?s

time to complete the half circle = T/2 = 0.343 ?s(micro seconds)

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