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A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b is
  • a)
    qbB/m
  • b)
    q(b-a)B/m
  • c)
    qaB/m
  • d)
    q (b+a)B/2m
Correct answer is option 'B'. Can you explain this answer?
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A particle of mass m and charge q moves with a constant velocity v alo...
Width of the magnetic field region where 'R' is its radius of curvature inside magnetic field,
 
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A particle of mass m and charge q moves with a constant velocity v alo...
In order for the particle to enter the region x < a,="" the="" magnetic="" force="" on="" the="" particle="" must="" be="" strong="" enough="" to="" counteract="" the="" force="" due="" to="" the="" />

The magnetic force on a charged particle moving in a magnetic field is given by the equation F = qvB, where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field.

Since the magnetic force is acting in the negative z-direction, the particle must have a velocity component in the positive z-direction in order to counteract this force and enter the region x < />

The minimum value of v required can be found by setting the magnetic force equal to the force due to the velocity in the z-direction:

qvB = mv²

Simplifying, we find:

v = qB/m

Therefore, the minimum value of v required for the particle to enter the region x < a="" is="" v="qb/m." a="" is="" v="" />
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A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b isa)qbB/mb)q(b-a)B/mc)qaB/md)q (b+a)B/2mCorrect answer is option 'B'. Can you explain this answer?
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A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b isa)qbB/mb)q(b-a)B/mc)qaB/md)q (b+a)B/2mCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b isa)qbB/mb)q(b-a)B/mc)qaB/md)q (b+a)B/2mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b isa)qbB/mb)q(b-a)B/mc)qaB/md)q (b+a)B/2mCorrect answer is option 'B'. Can you explain this answer?.
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