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Question

The region between x=0 and x=L is filled with uniform, steady magnetic field B0^k. A particle of mass m, positive charge q and velocity v0^i travels along x-axis and enters the region of magnetic field. Neglect gravity throughout the question. The field now extends up to x=2.1L If the time spent by the particle in the magnetic field is T=πmX×qB0. Find X?

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Solution

In this case, x=2.1mv02qB0>r
Hence, the particle will complete semicircular path and emerge from the field with velocity v0^i as shown in fig.
Time spent by the particle in the magnetic field:
T=πrv0=πmqB0
The speed of the particle does not change due to magnetic field.

274497_168733_ans_6b8c6355ac4f45d6920614c99d44430f.JPG

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