Question #323552

protons in uniform magnetic field of .3T follow a circular trajectory with 20cm radius. Determine the speed of the protons. (q=1.6×10 -¹⁹ C and m=1.673×10 -²⁷ kg)

1
Expert's answer
2022-04-05T09:44:28-0400

The radius of the circular path is

r=mvBqr=\frac{mv}{Bq}

The speed of the proton is

v=Bqrmv=\frac{Bqr}{m}

=(0.3)(1.60×1019)(0.20)1.673×1027=\frac{(0.3)(1.60\times10^{-19})(0.20)}{1.673\times10^{-27}}

=5.738×106m/s=5.738\times 10^6 m/s


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