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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 m⃗\vec{m} is placed perpendicular to the magnetic field B⃗\vec{B} is −mB2-\frac{mB}{2} Zero −mB-mB mBmB

Multiple Choice Options

  • A −mB2-\frac{m B}{2} _ 2 m B _
  • B Zero
  • C −mB-m B _ m B
  • D mBm B m B

Step-by-Step Verified Solution

The magnetic potential energy U UU U of a magnetic dipole moment m _ m⃗\vec{m} m in a magnetic field B _ B⃗\vec{B} B is given by the formula: U = _ m _ _ B _ Here, the dot product m _ _ B _ m⃗⋅B⃗\vec{m} \cdot \vec{B} m _ B represents the scalar product of the vectors. When the magnetic moment m _ m⃗\vec{m} m is placed perpendicular to the magnetic field B _ B⃗\vec{B} B , the angle _ θ\theta _ between these two vectors is 90 degrees. The dot product in this case can be written as: m _ _ B _ = m B cos _ _ Since _ = 90 _ θ=90∘\theta = 90^\circ _ = 9 0 _ , we have cos _ 90 _ = 0 cos⁡90∘=0\cos 90^\circ = 0 cos 9 0 _ = 0 . Therefore, the magnetic potential energy U UU 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 _ m⃗\vec{m} m is placed perpendicular to the magnetic field B _ B⃗\vec{B} B is zero. The correct answer is: Option B "Zero".

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