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Question

A particle with charge q and mass m is projected with kinetic energy K into the region between two plates of a uniform magnetic field B as shown below.

If the particle is to miss collision with the opposite plate, the maximum value of B is

A
2Kqmd
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B
2Kdqm
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C
2Kmqd
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D
2Kqmd
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Solution

The correct option is C 2Kmqd
Given that, 12mv2=K
v=2Km
To just miss collision with the opposite plate, the particle must move in a radius r which is equal to d.
Now, r=mvqBd=m2KmqB
Solving we get, B=2Kmqd

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