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Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional to
- a)Square of thier masses
- b)Directly proportional to their mass
- c)Inversely proportional to thier masses
- d)Square root of their masses
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two ions of the same charge and energy but different mass are passing ...
**Explanation:**
When charged particles move through a magnetic field, they experience a force known as the magnetic Lorentz force. This force acts perpendicular to both the velocity of the particle and the magnetic field, causing the particle to move in a circular path.
The radius of this circular path can be determined using the equation:
r = (mv)/(qB)
Where:
- r is the radius of the path
- m is the mass of the particle
- v is the velocity of the particle
- q is the charge of the particle
- B is the magnetic field strength
We are given that the two ions have the same charge and energy, meaning that their velocities (v) are the same. Therefore, the equation for the radius simplifies to:
r ∝ (m/q)
Since the charge (q) is the same for both ions, the radius is directly proportional to the mass (m). This means that as the mass of the ion increases, the radius of its path will also increase.
However, we are also given that the ions have different masses. This implies that the radius of their paths will be different, with the ion with the larger mass having a larger radius.
Therefore, we can conclude that the radii of the paths are **inversely proportional to the masses** of the ions. As the mass of an ion increases, its path radius will decrease, and vice versa.
Hence, the correct answer is option **C) Inversely proportional to their masses**.
When charged particles move through a magnetic field, they experience a force known as the magnetic Lorentz force. This force acts perpendicular to both the velocity of the particle and the magnetic field, causing the particle to move in a circular path.
The radius of this circular path can be determined using the equation:
r = (mv)/(qB)
Where:
- r is the radius of the path
- m is the mass of the particle
- v is the velocity of the particle
- q is the charge of the particle
- B is the magnetic field strength
We are given that the two ions have the same charge and energy, meaning that their velocities (v) are the same. Therefore, the equation for the radius simplifies to:
r ∝ (m/q)
Since the charge (q) is the same for both ions, the radius is directly proportional to the mass (m). This means that as the mass of the ion increases, the radius of its path will also increase.
However, we are also given that the ions have different masses. This implies that the radius of their paths will be different, with the ion with the larger mass having a larger radius.
Therefore, we can conclude that the radii of the paths are **inversely proportional to the masses** of the ions. As the mass of an ion increases, its path radius will decrease, and vice versa.
Hence, the correct answer is option **C) Inversely proportional to their masses**.
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Community Answer
Two ions of the same charge and energy but different mass are passing ...
As K.E.= q^2 B^2 R^2 / 2m
which implies
m is proportional to R^2
R is proportional to square root of mass
which implies
m is proportional to R^2
R is proportional to square root of mass
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Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer?
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Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. 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 Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer?.
Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. 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 Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer?.
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Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two ions of the same charge and energy but different mass are passing through a uniform magnetic field. The radii of their paths are proportional toa) Square of thier masses b) Directly proportional to their mass c) Inversely proportional to thier masses d) Square root of their masses Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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