Two ions with masses of 2.87 times 10 -27 kg move out of the slit, of a mass spe

Question

Two ions with masses of 2.87 times 10 -27 kg move out of the slit, of a mass spectrometer and into a region where the magnetic field is 0.192 T. Each has a speed of 9.94 times 10s m/s. but one ion is singly charged and the other is doubly charged. Find the radius of the circular path followed by the singly charged ion in the field. Answer in units of cm. Find the radius of the circular path followed by the doubly charged ion in the field. Answer in units of cm. Find the distance of separation when they have moved through one-half of their circular path and strike a piece of photographic paper. Answer in units of cm.

Explanation / Answer

Let R be radius of circular orbit. mv^2/R=Bqv so mv=BqR R=mv/Bq a)R1=2,87e-27*9,94e5/(0,192*1,6e-19)=9,3e-2(m) b)R2=R1/2=4,6e-2(m) c) the distance is R1-R2=R2 d=4,6e-2m

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