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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2019 · 25 May · Physics · Magnetic Effects of Current

A particle of mass m and charge q moves with a constant velocity v...

A particle of mass mm and charge qq moves with a constant velocity vv along the positive xx-direction. It enters a region containing a uniform magnetic field BB directed along the negative zz direction, extending from x=ax=a to x=bx=b. The minimum value of vv required so that the particle can just enter the region x>bx>b is

Options

  1. AqbB/mq b B / m
  2. Bq(b−a)B/mq(b-a) B / m
  3. CqaB/mq a B / m
  4. Dq(b+a)B/2mq(b+a) B / 2 m

Correct answer

B. q(b−a)B/mq(b-a) B / m

Step-by-step solution

r=mvqB=b−a( for just entering) v=q(b−a)Bm\begin{aligned} r= & \frac{m v}{q B}=b-a \\ & (\text{ for just entering) } \\ v & =\frac{q(b-a) B}{m}\end{aligned}
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