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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET 2024 · Physics · Magnetic Properties of Matter

The magnetic moment of an iron bar is M . It is now bent in such a...

The magnetic moment of an iron bar is MM. It is now bent in such a way that it forms an arc section of a circle subtending an angle of 60∘60^{\circ} at the centre. The magnetic moment of this arc section isThe magnetic moment of an iron bar is M . It is now bent in such a way that it forms an arc section of a circle

Options

  1. A3Mπ\frac{3 M}{\pi}
  2. B4Mπ\frac{4 M}{\pi}
  3. CMπ\frac{M}{\pi}
  4. D2Mπ\frac{2 M}{\pi}

Correct answer

A. 3Mπ\frac{3 M}{\pi}

Step-by-step solution

M=m⋅LM=m \cdot L The magnetic moment of an iron bar is M . It is now bent in such a way that it forms an arc section of a circle
Rθ=LR \theta=L Rπ3=L\frac{R \pi}{3}=L R=3LπR=\frac{3 L}{\pi} M′=m(2R)sin⁡30∘M^{\prime}=m(2 R) \sin 30^{\circ} =m(2)3Lπ×12=3πmL=3Mπ=m(2) \frac{3 L}{\pi} \times \frac{1}{2}=\frac{3}{\pi} m L=\frac{3 M}{\pi}
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