An electron is accelerated through a P.D of 100V and then enters a region where it is moving perpendicular
to a magnetic field B = 0.2T. The radius of the circular path is
a) 0.0167 cm
b) 0.7 cm
c) 0.2 cm
d) 0.6 cm
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Answer:
The kinetic energy of electron=100e=21mv2
⟹v=m200e
The centripetal acceleration is provided by the magnetic field. Hence
rmv2=evB
⟹mv=eBr
⟹r=eBmv
Hence re=0.0167cm
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