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How fast are the ions moving when they emergefrom the velocity selector? Singly

ID: 1722182 • Letter: H

Question

How fast are the ions moving when they emergefrom the velocity selector? Singly ionized (one electron removed) atoms are accelerated andthen passed through a velocity selector consisting of perpendicularelectric and magnetic fields. The electric field is151 V/m and the magneticfield is 3.1310?2 T. The ions next enter auniform magnetic field of magnitude1.7510?2 T that is orientedperpendicular to their velocity. How fast are the ions moving when they emergefrom the velocity selector? v =4820 m/s Correct If the radius of the path of the ions in thesecond magnetic field is 17.1 cm, what is their mass?

Explanation / Answer

   radius of charged particle in magneticfield   r   =   m* v / B * q    here   r   =   17.1   cm   =   0.171   m,   v   =   4820   m/s,   B   =   Strengthof magnetic field   =   1.75 *10-2   T    charge onparticle   q   =   e   =   1.6* 10-19   C    =>   m   =   B* q * r / v   =   1.75 *10-2 * 1.6 * 10-19 * 0.171 /4820   =   9.93 *10-26   kg
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