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Q.

A particle with charge q, moving with a momentum p, enters a uniform magnetic field normally. The magnetic field has magnitude B and is confined to a region of width d, where d <  pBq. If the particle is deflected by an angle θ in crossing the field, then

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a

sin θ= Bqdp

b

sin θ= pBqd

c

sin θ= Bpqd

d

sin θ= pdBq

answer is A.

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Detailed Solution

From figure, it is clear thatsin θ= dr,   Also  r=  pqB∴       sin θ= Bqdp
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A particle with charge q, moving with a momentum p, enters a uniform magnetic field normally. The magnetic field has magnitude B and is confined to a region of width d, where d <  pBq. If the particle is deflected by an angle θ in crossing the field, then