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Q.

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
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