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A particle with charge q and mass m is shot with K.E ''k'' into the region between two plates.If magnetic field between plates is B.How large B must be if the particle is to miss collision with the opposite plate?
Ans)To just miss the collision of the opposite plate,the paticle must move in a circular path of radius ''d'' so that,
Bqd=mv2/d
Bqd=mv------(1)
but K=1/2 mv2
K=(mv)2 /m2
2mK=(mv)2
mv=(2Km)1/2 ---------------(2)
substitutng (2) in (1)
Bqd=(2Km)1/2
B=(2Km)1/2/qd
Because force=dp/dt and force=0 in first law of motion => dp/dt=0 => p=const. or linear momentum is conserved.
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