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3. Two charged particles travel along the negative x axis in the positive x direction, each with speed v, and enter th magnetic field at the origin O. The two particles have the same charge q2=1.2 qı 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 particles are R2 = 1.9 R1. a) Is the charge q1.2 of these particles positive or negative? b) Derive (do not simply state) an expression for the radius R, of the semi-circle traced out by particle 1, in terms of q, v, B, and m, . c) What is the ratio m/m? B(c

3. Two charged particles travel along the negative x axis in the positive x direction, each with speed v, and enter th magnetic field at the origin O. The two particles have the same charge q2=1.2 qı 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 particles are R2 = 1.9 R1. a) Is the charge q1.2 of these particles positive or negative? b) Derive (do not simply state) an expression for the radius R, of the semi-circle traced out by particle 1, in terms of q, v, B, and m, . c) What is the ratio m/m? B(c

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3. 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 q2=1.2 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 particles are R2 = 1.9 R1. a) Is the charge q1,2 of these particles positive or negative? b) Derive (do not simply state) an expression for the radius R, of the semi-circle traced out by particle 1, in terms of q, v, B, and m, . B(out) c) What is the ratio m/m? d) Is it possible to apply an electric field E in the region x>0 only which will cause both particles to continue to move in a straight line after they enter the region ? If so, indicate the magnitude and direction of that electric field, in terms of the quantities given. If not, why not? m2
Transcribed Image Text:3. 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 q2=1.2 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 particles are R2 = 1.9 R1. a) Is the charge q1,2 of these particles positive or negative? b) Derive (do not simply state) an expression for the radius R, of the semi-circle traced out by particle 1, in terms of q, v, B, and m, . B(out) c) What is the ratio m/m? d) Is it possible to apply an electric field E in the region x>0 only which will cause both particles to continue to move in a straight line after they enter the region ? If so, indicate the magnitude and direction of that electric field, in terms of the quantities given. If not, why not? m2
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