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1. An electron moves in a circular path perpendicular to a magnetic field of mag

ID: 1536415 • Letter: 1

Question

1. An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.235 T. If the speed of the electron is 8.5 x 105 m/s, find the radius of the circular path.

2. A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 3.00 x 105 m/s and enter a uniform magnetuc field of .600 T directed perpenicularly to the velocity of the ions. What is the distance between the impact points formed on the photographic plate by singly charged ions of 235U and 238U?

Explanation / Answer

1) qVB = mv^2/r

r = mv/qB

= 9.11*10^-31*8.5*10^5 / 1.6*10^-19 * 0.235

= 2.06*10^-5 m

2) r = mv/qB

= 9.11*10^-31*3*10^5 / 1.6*10^-19 * 0.6

= 2.854*10^-6 m