JEE Exam > JEE Questions > A uniform magnetic field B=B j^ exists in a s...
Start Learning for Free
A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane?
Most Upvoted Answer
A uniform magnetic field B=B j^ exists in a space . A particle of mass...
Community Answer
A uniform magnetic field B=B j^ exists in a space . A particle of mass...
Solution: Projectile motion in uniform magnetic field
Introduction
We are given a scenario of a charged particle moving in a uniform magnetic field and we are asked to find the maximum velocity at which the particle will not hit the y-z plane.
Theory
The motion of a charged particle in a uniform magnetic field is governed by the Lorentz force equation:
F = q(v x B)
where F is the force experienced by the particle, v is the velocity of the particle, B is the magnetic field and q is the charge of the particle.
The Lorentz force causes the charged particle to move in a circular path perpendicular to the magnetic field.
Solution
We are given that the particle is projected towards the negative x-axis with a velocity v from the point (d,0,0). The initial velocity vector of the particle is:
v = -v i^
where i^ is the unit vector along the x-axis.
The force experienced by the particle due to the magnetic field is:
F = q(v x B) = qvB k^
where k^ is the unit vector along the z-axis.
The magnitude of the force is given by:
|F| = qvB
This force causes the particle to move in a circular path in the y-z plane.
The radius of the circular path is given by:
r = mv / (qB)
where m is the mass of the particle.
The particle will hit the y-z plane when the radius of the circular path becomes equal to d. Therefore, we have:
mv / (qB) = d
Solving for v, we get:
v = dqB / m
This is the maximum velocity at which the particle will not hit the y-z plane.
Conclusion
In this problem, we used the Lorentz force equation to find the maximum velocity at which a charged particle will not hit the y-z plane when projected towards the negative x-axis in a uniform magnetic field.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane?
Question Description
A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane?.
A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane?.
Solutions for A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? 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 uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? defined & explained in the simplest way possible. Besides giving the explanation of
A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane?, a detailed solution for A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? has been provided alongside types of A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? theory, EduRev gives you an
ample number of questions to practice A uniform magnetic field B=B j^ exists in a space . A particle of mass m and charge q is projected towards negative x-axis with a speed v from the point (d,0,0). The maximum value v for which particle does not hit y-z plane? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup