В (out) R, m Figure 6: 8.Two charged particles travel along the negative x axis in the positive x direction, each with speed v, and enter the magnetic field at the origin O. The two particles have the same charge q, but have different masses. When in the magnetic field, their trajectories both curve in the same direction, but describe semi-circles with different radii. The radius of the semi-circle traced out by particle 2 is exactly twice as big as the radius of the semi-circle traced out by particle 1. (a) The charge q of these particles is q > 0 (True, False) (b) the radius R1 of the semi-circle traced out by particle 1 is m = quB - R1 = qB (True, Falsе) ,2 (c) Since m = qvB and R2 = qvB it follows that ratio of mass m2 to m1 is R1 m2 %3D R1 = 2 (True, False) m1

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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y
В (out)
R,
m1
m2
Figure 6:
8.Two charged particles travel along the negative x axis in the positive x direction, each with speed v, and enter the magnetic field at the
origin O. The two particles have the same charge q, but have different masses. When in the magnetic field, their trajectories both curve in the
same direction, but describe semi-circles with different radii. The radius of the semi-circle traced out by particle 2 is exactly twice as big as the
radius of the semi-circle traced out by particle 1.
(a) The charge q of these particles is q > 0 (True, False)
2
qB
(b) the radius R1 of the semi-circle traced out by particle 1 is
R1
= qvB
R1 =
(True, False)
ту
,2
2R1
R1
(c) Since
= qvB and
= qvB it follows that ratio of mass m2 to mị is
m2
m2
R2
= 2
(True, False)
R1
R1
R2
m1
(d) It is possible to apply an electric field Ē in the region æ > 0 only which will cause both particles to continue to move in a straight line
after they enter the region If qvB – qE = ma = 0 or E = vB with direction of the electric field E pointing up
(True, False)
Transcribed Image Text:y В (out) R, m1 m2 Figure 6: 8.Two charged particles travel along the negative x axis in the positive x direction, each with speed v, and enter the magnetic field at the origin O. The two particles have the same charge q, but have different masses. When in the magnetic field, their trajectories both curve in the same direction, but describe semi-circles with different radii. The radius of the semi-circle traced out by particle 2 is exactly twice as big as the radius of the semi-circle traced out by particle 1. (a) The charge q of these particles is q > 0 (True, False) 2 qB (b) the radius R1 of the semi-circle traced out by particle 1 is R1 = qvB R1 = (True, False) ту ,2 2R1 R1 (c) Since = qvB and = qvB it follows that ratio of mass m2 to mị is m2 m2 R2 = 2 (True, False) R1 R1 R2 m1 (d) It is possible to apply an electric field Ē in the region æ > 0 only which will cause both particles to continue to move in a straight line after they enter the region If qvB – qE = ma = 0 or E = vB with direction of the electric field E pointing up (True, False)
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