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A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment of
- a)25units
- b)50units
- c)100units
- d)75units
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A bar magnet of magnetic moment 100 units is cut into two halves of eq...
Mag. moment = m×l since length is halved magneti
c moment is also halved so it becomes 50units.
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A bar magnet of magnetic moment 100 units is cut into two halves of eq...
Explanation:
When a bar magnet is cut into two equal halves, the magnetic moment of each half is determined by the formula:
Magnetic Moment (M) = Magnetic Field Strength (B) x Area (A) x Sin(angle between B and A)
Since the area and angle between the magnetic field and area remain the same for both halves, the only factor that changes is the magnetic field strength.
1. Magnetic Moment of the Original Bar Magnet:
Given that the magnetic moment of the original bar magnet is 100 units (let's call it M1).
2. Magnetic Moment of Each Half:
Let's assume the magnetic field strength of each half is B1 and B2, and the magnetic moments of the two halves are M2 and M3, respectively.
Since both halves are equal in length and have the same area, the angle between the magnetic field and area is the same for both halves. Therefore, the sin(angle) term is the same for both halves.
Thus, we can write the equation for magnetic moment as:
M2 = B1 x A x Sin(angle)
M3 = B2 x A x Sin(angle)
3. Relationship between Magnetic Moments:
Since the original magnet is cut into two equal halves, the length of each half is the same. This implies that the magnetic field strength (B) is directly proportional to the length of the magnet (L). So, we can write:
B1 = B2
Also, since the area (A) and sin(angle) are the same for both halves, we can write:
M2/M3 = B1/B2 = 1
Therefore, the magnetic moments of the two halves are equal.
4. Final Answer:
Since each half has a magnetic moment equal to half of the original magnet's magnetic moment, the magnetic moment of each half is 100/2 = 50 units.
Therefore, the correct answer is option B) 50 units.
When a bar magnet is cut into two equal halves, the magnetic moment of each half is determined by the formula:
Magnetic Moment (M) = Magnetic Field Strength (B) x Area (A) x Sin(angle between B and A)
Since the area and angle between the magnetic field and area remain the same for both halves, the only factor that changes is the magnetic field strength.
1. Magnetic Moment of the Original Bar Magnet:
Given that the magnetic moment of the original bar magnet is 100 units (let's call it M1).
2. Magnetic Moment of Each Half:
Let's assume the magnetic field strength of each half is B1 and B2, and the magnetic moments of the two halves are M2 and M3, respectively.
Since both halves are equal in length and have the same area, the angle between the magnetic field and area is the same for both halves. Therefore, the sin(angle) term is the same for both halves.
Thus, we can write the equation for magnetic moment as:
M2 = B1 x A x Sin(angle)
M3 = B2 x A x Sin(angle)
3. Relationship between Magnetic Moments:
Since the original magnet is cut into two equal halves, the length of each half is the same. This implies that the magnetic field strength (B) is directly proportional to the length of the magnet (L). So, we can write:
B1 = B2
Also, since the area (A) and sin(angle) are the same for both halves, we can write:
M2/M3 = B1/B2 = 1
Therefore, the magnetic moments of the two halves are equal.
4. Final Answer:
Since each half has a magnetic moment equal to half of the original magnet's magnetic moment, the magnetic moment of each half is 100/2 = 50 units.
Therefore, the correct answer is option B) 50 units.
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A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct answer is option 'B'. Can you explain this answer?
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A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct 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 A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct 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 A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct answer is option 'B'. Can you explain this answer?.
A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct 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 A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct 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 A bar magnet of magnetic moment 100 units is cut into two halves of equal length, each half will have a magnetic moment ofa) 25units b) 50units c) 100units d) 75units Correct answer is option 'B'. Can you explain this answer?.
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