NEET Exam > NEET Questions > An Alpha particle and a Proton moving with th...
Start Learning for Free
An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe?
Verified Answer
An Alpha particle and a Proton moving with the same speed enter the sa...
force acting on a particle entering at right angle to the magnetic field is equal to: Bvq
and this is equal to the centripetal force of the particle due to its rotation = mv2/r
thus radius = r = mv/Bq
now easily the ratio can be derieved.
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
An Alpha particle and a Proton moving with the same speed enter the sa...
Alpha Particle and Proton in a Magnetic Field
The trajectory followed by an Alpha particle and a Proton in a magnetic field can be determined by applying the Lorentz force equation, which states that the force experienced by a charged particle in a magnetic field is perpendicular to both the velocity of the particle and the magnetic field.
Trajectory of Alpha Particle and Proton
When an Alpha particle and a Proton enter the magnetic field region at right angles to the direction of the field, they will experience a magnetic force that causes them to move in a circular path. The radius of the circular path followed by a charged particle in a magnetic field is given by the equation:
\[ r = \frac{mv}{qB} \]
where r is the radius of the circular path, m is the mass of the particle, v is the speed of the particle, q is the charge of the particle, and B is the magnetic field strength.
Ratio of Radii of Circular Paths
Since the Alpha particle and the Proton have the same speed and enter the magnetic field region at right angles to the field, the ratio of the radii of the circular paths which the two particles describe can be calculated as:
\[ \frac{r_{\text{Alpha}}}{r_{\text{Proton}}} = \frac{m_{\text{Alpha}}}{m_{\text{Proton}}} \times \frac{q_{\text{Proton}}}{q_{\text{Alpha}}} \]
Given that the mass of an Alpha particle is 4 times the mass of a Proton and the charge of an Alpha particle is twice the charge of a Proton, the ratio of the radii of the circular paths will be:
\[ \frac{r_{\text{Alpha}}}{r_{\text{Proton}}} = \frac{4}{1} \times \frac{1}{2} = 2 \]
Therefore, the ratio of the radii of the circular paths followed by the Alpha particle and the Proton in the magnetic field is 2.
The trajectory followed by an Alpha particle and a Proton in a magnetic field can be determined by applying the Lorentz force equation, which states that the force experienced by a charged particle in a magnetic field is perpendicular to both the velocity of the particle and the magnetic field.
Trajectory of Alpha Particle and Proton
When an Alpha particle and a Proton enter the magnetic field region at right angles to the direction of the field, they will experience a magnetic force that causes them to move in a circular path. The radius of the circular path followed by a charged particle in a magnetic field is given by the equation:
\[ r = \frac{mv}{qB} \]
where r is the radius of the circular path, m is the mass of the particle, v is the speed of the particle, q is the charge of the particle, and B is the magnetic field strength.
Ratio of Radii of Circular Paths
Since the Alpha particle and the Proton have the same speed and enter the magnetic field region at right angles to the field, the ratio of the radii of the circular paths which the two particles describe can be calculated as:
\[ \frac{r_{\text{Alpha}}}{r_{\text{Proton}}} = \frac{m_{\text{Alpha}}}{m_{\text{Proton}}} \times \frac{q_{\text{Proton}}}{q_{\text{Alpha}}} \]
Given that the mass of an Alpha particle is 4 times the mass of a Proton and the charge of an Alpha particle is twice the charge of a Proton, the ratio of the radii of the circular paths will be:
\[ \frac{r_{\text{Alpha}}}{r_{\text{Proton}}} = \frac{4}{1} \times \frac{1}{2} = 2 \]
Therefore, the ratio of the radii of the circular paths followed by the Alpha particle and the Proton in the magnetic field is 2.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe?
Question Description
An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe?.
An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe?.
Solutions for An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? defined & explained in the simplest way possible. Besides giving the explanation of
An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe?, a detailed solution for An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? has been provided alongside types of An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? theory, EduRev gives you an
ample number of questions to practice An Alpha particle and a Proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field show the trajectory is followed by the two particles in the region of the magnetic field find the ratio of the radii of circular pass which the two particles describe? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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