The adjoining figure shows a chamber inside which is a region of constant magnet

Question

The adjoining figure shows a chamber inside which is a region of constant magnetic field. The magnetic field is pointing into the page. A plasma containing a mixture of protons (m_P = 1.67 Times 10^-27 kg, q_p= 1.6 Times 10^-19 C), antiprotons (mass = m_P, charge = -g_P), deuterons (m_D = 2 m_P, q_D = q_P), and neutrons (m_N = m_P, q_N = q_P) enter this chamber through the small hole labeled 'A' at the middle of the left wall. All the particles, i.e. the protons, antiprotons, deuterons, and the neutrons entering the chamber through the hole 'A', are moving towards the right with the same velocity. On the figure itself, draw qualitatively (but clearly) the following: The path taken by the protons after they enter the chamber. The path taken by the antiprotons after they enter the chamber. The path taken by the deuterons after they enter the chamber. The path taken by the neutrons after they enter the chamber. If r_p is the radius of the path taken by the proton and r_D that of the deuteron, then r_p/r_D =.

Explanation / Answer

a) circular going in anticlockwise direction

b) circular going in clockwise direction

c) circular going in anticlockwise direction but of different radius

d) straight line

e) F = QVB = mV^2/R

=> R = mv^2/(QVB )

=> rp/rd = mp/2mp = 0.5

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