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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?

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?

Grade:12

1 Answers

KLV SAI VARDHAN REDDY
32 Points
8 years ago

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


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