JEE Exam  >  JEE Questions  >  A particle of mass m and charge q moves with ... Start Learning for Free
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?
Verified Answer
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,
 
View all questions of this test
Most Upvoted Answer
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="" />
Explore Courses for JEE exam

Similar JEE Doubts

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev