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Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.
- a)of same radius
- b)with larger radii for the faster electrons
- c)with smaller radii for the faster electrons
- d)either (b) or (c) depending on the magnitude of the magnetic field
Correct answer is option 'B'. Can you explain this answer?
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Electrons moving with different speeds enter a uniform magnetic field ...
Explanation:
When electrons move with different speeds, they will experience different forces from the magnetic field. According to the Lorentz force law, the force on a charged particle moving in a magnetic field is given by:
F = q(v x B)
where F is the force, q is the charge of the particle, v is its velocity, and B is the magnetic field. The vector product v × B gives the direction of the force, which is perpendicular to both v and B.
Circular motion of electrons:
Since the force is perpendicular to the velocity, it will change the direction of the electron's motion but not its speed. This means that the electron will move along a circular path with a radius given by:
r = mv/qB
where m is the mass of the electron and v is its speed.
Different radii for different speeds:
From this equation, we can see that the radius of the circular path depends on the speed of the electron. The faster the electron is moving, the larger the radius of its circular path will be. This is because a faster electron will experience a weaker force from the magnetic field, and therefore, will need a larger radius to balance the centrifugal force.
Therefore, the correct option is (b) with larger radii for the faster electrons.
When electrons move with different speeds, they will experience different forces from the magnetic field. According to the Lorentz force law, the force on a charged particle moving in a magnetic field is given by:
F = q(v x B)
where F is the force, q is the charge of the particle, v is its velocity, and B is the magnetic field. The vector product v × B gives the direction of the force, which is perpendicular to both v and B.
Circular motion of electrons:
Since the force is perpendicular to the velocity, it will change the direction of the electron's motion but not its speed. This means that the electron will move along a circular path with a radius given by:
r = mv/qB
where m is the mass of the electron and v is its speed.
Different radii for different speeds:
From this equation, we can see that the radius of the circular path depends on the speed of the electron. The faster the electron is moving, the larger the radius of its circular path will be. This is because a faster electron will experience a weaker force from the magnetic field, and therefore, will need a larger radius to balance the centrifugal force.
Therefore, the correct option is (b) with larger radii for the faster electrons.
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Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer?
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Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer?.
Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths. a)of same radius b)with larger radii for the faster electrons c)with smaller radii for the faster electrons d)either (b) or (c) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer?.
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