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Problem 17.44 Problem 17.44 A mass spectrometer has a velocity selector that all

ID: 1317190 • Letter: P

Question

Problem 17.44 Problem 17.44 A mass spectrometer has a velocity selector that allows ions traveling at only one speed to pass with no deflection through slits at the ends. While moving through the velocity selector, the ions pass through a 60.000 N/C E field and a 0.0500-T B field. The quantities U. E.and B are mutually perpendicular. previous I 8 of 8 return to assignr Part A Determine the speed of the ions that are not defected. Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give Up Part B After leaving the velocity selector, the ions continue to move in the 0.0500-T magnetic field. Determine the radius of ourvature of a singly charged lithium ion, whose mass is 1.16 x 10 kg Express your answer to two significant figures and include the appropriate units. Value Units Ny Answers Give Up

Explanation / Answer

E = 60000 N/C

B = 0.05 T

(a) Speed of the ions that are not deflected is,

v = E/B

v = 60000 / 0.05

v = 1.2 * 106 m/s

(b) Radius of curvature of a singly ionized lithium ion.

q = 1.602 * 10-19 C

m = 1.16 * 10-26 kg

B = 0.05 T

Now, radius is given by,

r = mv/qB

r = 1.16 * 10-26 * 1.2 * 106 / (1.602 * 10-19 * 0.05)

r = 1.7378277154 m = 1.74 m