An electron of 40 eV energy is revolving in a circular path in a magnetic field of 9*10^-5T.Determine (i)speed of the electron (ii)radius of the circular path .
ans is (i03.75*10^6m s^-1,(ii)23.7cm

(i)Kinetic energy of electron, E=12mv2Herem=mass of the electronv=Speed of the electronv=2Em  =240×1.6×10-199.1×10-31  =3.75×106 m/s(ii)Centriepetal force =Force due to magnetic fieldmv2r=BqvHere,B=Strength of the magnetic fieldr=Radius of the circular pathHence,mv=Bqrr=mvBq  =9.1×10-313.75×1069×10-51.6×10-19  =0.237 m  =23.7 cm

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