But other than that I would like to check if my method of solving all the questi
ID: 1454593 • Letter: B
Question
But other than that I would like to check if my method of solving all the questions was correct.
2. In a high energy physics experiment protons starting from rest are accelerated through a po- tential difference of 20 MV and then collide with a carbon target. The target is 20 meters away from the accelerating region. It is important for the experimenters to determine the effect of the earth's magnetic field 5 x 10-5 T on the place at which the protons strike the target. In the following questions assume that the earth's magnetic field is uniform and perpendicular to the proton beam 20 MV C-target Ip 20 m (a) (5 points) What is the speed of the protons as they emerge from the acceleration region? (b) (5 points) What is the magnetic force on the protons, both its magnitude and direction? (c) (5 points) What would be the radius of the proton's orbit in the earth's magnetic field? (d) (5 points) Finally, by how much will the protons be deflected by the earth's magnetic field (i.e. the position y in the figure above)? In answering this question you may assume the deflection is very small compared to the distance the proton travels.Explanation / Answer
1. speed V = sqrt(2 eV/m)
V = (sqrt(2* 1.6 *10^-19 * 20*10^6)/(1.67 *10^-27)
V = 6.19 *10^7 m/s
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2. magnetic force F = qv B
F = 1.6 *10^-19 * 6.19 *10^7 * 5*10^-5
F = 4.9 *10^-16 N
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radius r = mv/qB
r = (1.67 *10^-27 * 6.19 * 10^7)/(1.6*10^-19 * 5 *10^-5)
r = 129.21 Km
------------------direction of magnetic field in B would be out of the page
this is from Right hand rule
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