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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 a charged particle of mass m and charge q moves with velocity v in a uniform magnetic field B, it experiences a magnetic force given by:
F = qvB sin θ
where θ is the angle between the velocity of the charged particle and the magnetic field. This force acts perpendicular to both the velocity and the magnetic field, and causes the charged particle to move in a circular path with a radius given by:
r = mv/qB
where r is the radius of the circular path.
Now, let's consider two ions of the same charge and energy but different mass, say m1 and m2, passing through the same uniform magnetic field B. Since they have the same charge and energy, their velocities will be the same. However, their masses are different, so their radii of curvature will be different.
To compare their radii of curvature, we can take the ratio of their radii:
r1/r2 = (m1/m2)
This shows that the radii of curvature of the two ions are inversely proportional to their masses. Therefore, option (c) is the correct answer.
When a charged particle of mass m and charge q moves with velocity v in a uniform magnetic field B, it experiences a magnetic force given by:
F = qvB sin θ
where θ is the angle between the velocity of the charged particle and the magnetic field. This force acts perpendicular to both the velocity and the magnetic field, and causes the charged particle to move in a circular path with a radius given by:
r = mv/qB
where r is the radius of the circular path.
Now, let's consider two ions of the same charge and energy but different mass, say m1 and m2, passing through the same uniform magnetic field B. Since they have the same charge and energy, their velocities will be the same. However, their masses are different, so their radii of curvature will be different.
To compare their radii of curvature, we can take the ratio of their radii:
r1/r2 = (m1/m2)
This shows that the radii of curvature of the two ions are inversely proportional to their masses. Therefore, option (c) is the correct 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect answer is option 'C'. 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 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect answer is option 'C'. 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 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect 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 massesb)Directly proportional to their massc)Inversely proportional to thier massesd)Square root of their massesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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