Answer 4_10_3

In a particle physics experiment, a detector is place in a magnetic field of 0.92 T.  A particle is found to produce a track of radius 0.5 m.  Other experiments have shown that the particle carries a charge of +1.6 ´ 10-19 C and that its speed was 3.0 ´ 107 m/s.  What is the mass of the particle?  How does it compare to the mass of an electron (9.11 ´ 10-31 kg)?    

 

F = mv2/r and F = Bqv Þ mv2/r = Bqv (P)

 

Þ mv/r = Bq Þ m = Bqr/v (P)

 

m = 0.92 T ´ 1.6 ´ 10-19 C ´ 0.5 m (P)

                   3.0 ´ 107 m/s

 

 

m = 2.45 ´ 10-27 kg (P)

 

This is 2700 times the mass of an electron (P).

 

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