Magnetics 1 Question 21

21. A particle of mass m and charge q, moving with velocity v enters Region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field B

perpendicular to the plane of the paper. The length of the Region II is l. Choose the correct choice (s).

(2008,4M)

(a) The particle enters Region III only if its velocity v>qlBm (b) The particle enters Region III only if its velocity v<qlBm

(c) Path length of the particle in Region II is maximum when velocity v=qlB/m

(d) Time spent in Region II is same for any velocity v as long as the particle returns to Region I.

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Answer:

Correct Answer: 21. (a, c, d)

Solution:

  1. vB in region II. Therefore, path of particle is circle in region II.

Particle enters in region III if,

radius of circular path, r>l

or mvBq>l or v>Bqlm

If v=Bqlm,r=mvBq=l, particle will turn back

and path length will be maximum. If particle returns to region I, time spent in region II will be

t=T2=πmBq, which is independent of v.



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