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Magnetic Properties of Matter question

2005 · Shift 0 · Q126
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Magnetic Properties of Matter question

2005 · Shift 0 · Q126

JEE MainPhysicsMagnetic Properties of MatterMCQ+4 / −1
A magnetic needle is kept in a non-uniform magnetic field. It experiences :
  1. A
    neither a force nor a torque
  2. B
    a torque but not a force
  3. C
    a force but not a torque
  4. D
    a force and a torque
View written solutionFree

Correct answer: D

  1. A magnetic needle behaves like a magnetic dipole with magnetic moment m⃗\vec{m}m.

  2. In a magnetic field B⃗\vec{B}B, a magnetic dipole can experience:

    • Torque: τ⃗=m⃗×B⃗\vec{\tau} = \vec{m} \times \vec{B}τ=m×B This tends to align the needle along the field.
    • Force in a non-uniform magnetic field: F⃗=∇(m⃗⋅B⃗)\vec{F} = \nabla(\vec{m} \cdot \vec{B})F=∇(m⋅B) If the field is non-uniform, the two poles of the needle experience unequal magnetic forces, producing a net force.
  3. Therefore:

    • Since the field is non-uniform, the needle experiences a force.
    • Also, unless it is already exactly aligned with the field, it experiences a torque.
  4. Hence, the correct option is: D: a force and a torque\boxed{\text{D: a force and a torque}}D: a force and a torque​

  5. Comparison with stored correct answer:

    • Stored correct answer: D\text{D}D
    • Derived answer: D\text{D}D
    • They match.
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