Question #348696

find the radius of the path of 35cl- ions in such a machine if v=3.0kv and b=3.0t

1
Expert's answer
2022-06-07T08:11:54-0400

mv2r=qvB,    \frac{mv^2}r=qvB,\implies

r=mvqB,r=\frac{mv}{qB},

mv22=qU,    \frac{mv^2}2=qU,\implies

v=2qUm,v=\sqrt\frac{2qU}m,

r=mqB2qUm=2UmqB,r=\frac m{qB}\sqrt\frac{2qU}{m}=\sqrt\frac{2Um}{qB},

r=0.1 mm.r=0.1~mm.


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