The masses of the particles are m1 = 1.50 10-8 kg and m2 = 5.40 10-8 kg. The rad
ID: 2173149 • Letter: T
Question
The masses of the particles are m1 = 1.50 10-8 kg and m2 = 5.40 10-8 kg. The radius of the circular path for particle 1 is r1 = 12 cm.(c) What is the algebraic expression for the speed v with which a particle enters the field region? Express your answer in terms of the charge magnitude |q|, the electric potential difference V, and the mass m of the particle. (Answer using q, V, and m.)
v =
(d) What is the algebraic expression for the radius r of the circle on which a particle moves perpendicular to the magnetic field? Express your answer in terms of the mass m and speed v of the particle, the magnitude |q| of the charge, and the magnitude B of the field. (Answer using q, m, v, and B.)
r =
(e) What is the algebraic expression for the radius r2 of the circle on which particle 2 moves perpendicular to the magnetic field? Express your answer in terms of the radius r1 of the circle on which particle 1 moves, the mass m1 of particle 1, and the mass m2 of particle 2. (Answer using m_1 for m1, m_2 for m2, and r_1 for r1.)
r2 =
(f) What is the radius r2 of the circle on which particle 2 moves perpendicular to the magnetic field?
Explanation / Answer
a)
energy conservation ==> 0.5 m v^2 = q V
==> v = (2qV/m)
B)
q v B = m v2/r
r = mv/qB
c)
r = mv/qB
r = (m(2qV/m))/qB
r = (2mqV)/qB
r2 = (r1) × ((m2/m1))
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