AB and AC are the boundary lines within which a magnetic field B exists.If the magnetic field is absent, a charged particle of mass m and charge q must have passed through a point P on angle bisector of —BAC, at a distance r 2from A, if it has fallen on AB normally at a point Q such that OP = r. If the magnetic field is present, how much time the charged particle will take to come out of the magnetic field
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a
mπBq
b
2mπBq
c
4mπBq
d
mπ2Bq
answer is D.
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Detailed Solution
Since, QP=r,AP=r2 and ∠AQP=90° AQ=r and ∠QAP=45° The same logic concludes AR=r and ∠PAR=45° So, ∠QAR=90° r=mvBq Distance travelled =πr2 Time =π2·mvBq·1v=mπ2Bq