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)
The radius of the circular path is
r=mvBqr=\frac{mv}{Bq}r=Bqmv
The speed of the proton is
v=Bqrmv=\frac{Bqr}{m}v=mBqr
=(0.3)(1.60×10−19)(0.20)1.673×10−27=\frac{(0.3)(1.60\times10^{-19})(0.20)}{1.673\times10^{-27}}=1.673×10−27(0.3)(1.60×10−19)(0.20)
=5.738×106m/s=5.738\times 10^6 m/s=5.738×106m/s
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