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QNEET-2024-Ph-163: NEET 2024 Physics - Class 12 NEET-2024-Ph-163 Solution: The magnetic potential energy when a magnetic bar of magnetic…
The magnetic potential energy when a magnetic bar of magnetic moment is placed perpendicular to the magnetic field is Zero
Multiple Choice Options
- A _ 2 m B _
- B Zero
- C _ m B
- D m B
Step-by-Step Verified Solution
The magnetic potential energy U U of a magnetic dipole moment m _ m
in a magnetic field B _ B
is given by the formula:
U = _ m _ _ B _
Here, the dot product m _ _ B _ m
_ B
represents the scalar product of the vectors. When the magnetic moment m _ m
is placed perpendicular to the magnetic field B _ B
, the angle _ _ between these two vectors is 90 degrees. The dot product in this case can be written as:
m _ _ B _ = m B cos _ _
Since _ = 90 _ _ = 9 0 _ , we have cos _ 90 _ = 0 cos 9 0 _ = 0 . Therefore, the magnetic potential energy U U becomes:
U = _ m B cos _ 90 _
U = _ m B _ 0
U = 0
So, the magnetic potential energy when a magnetic bar of magnetic moment m _ m
is placed perpendicular to the magnetic field B _ B
is zero.
The correct answer is: Option B "Zero".