find the radius of the path of 35cl- ions in such a machine if v=3.0kv and b=3.0t
mv2r=qvB, ⟹ \frac{mv^2}r=qvB,\impliesrmv2=qvB,⟹
r=mvqB,r=\frac{mv}{qB},r=qBmv,
mv22=qU, ⟹ \frac{mv^2}2=qU,\implies2mv2=qU,⟹
v=2qUm,v=\sqrt\frac{2qU}m,v=m2qU,
r=mqB2qUm=2UmqB,r=\frac m{qB}\sqrt\frac{2qU}{m}=\sqrt\frac{2Um}{qB},r=qBmm2qU=qB2Um,
r=0.1 mm.r=0.1~mm.r=0.1 mm.
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