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Q.A diamagnetic substance is brought near the north or south pole of a bar magnet. It will be :

(a) repelled by both the poles.
(b) attracted by both the poles.
(c) repelled by the north pole and attracted by the south pole.
(d) attracted by the north pole and repelled by the south pole.
CBSECBSE Class XII Board 2023MCQ· 1mImportance★★★★★
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Diamagnetic materials develop an induced magnetic moment opposite to the applied field, causing repulsion regardless of which pole approaches them. The answer is (a).

Why diamagnetic materials behave this way

When you place any material in a magnetic field, the field tries to align the tiny atomic current loops inside it. Most materials respond in one of three ways: ferromagnetic (strong attraction), paramagnetic (weak attraction), or diamagnetic (weak repulsion).

Diamagnetic substances have no permanent magnetic moments. Their atoms have paired electrons whose magnetic effects cancel out. But here's the key: when an external magnetic field approaches, it induces tiny currents in the electron orbits through Lenz's law. These induced currents create a magnetic moment that opposes the applied field—nature's way of resisting change.

Think of it this way: if you bring the north pole of a bar magnet close to a diamagnetic material, the material develops a north pole on the side facing the magnet. Two north poles repel. If you bring the south pole close instead, the material develops a south pole facing it. Two south poles also repel.

Step-by-step reasoning

  1. The external field induces a moment

    When either pole of the bar magnet approaches, the diamagnetic substance experiences a non-uniform magnetic field. This field penetrates the material and alters the electron orbital motion.

  2. Lenz's law governs the response

    The induced magnetic moment m⃗induced\vec{m}_{\text{induced}} is always antiparallel to the applied field B⃗ext\vec{B}_{\text{ext}}:

m⃗induced=−χB⃗ext\vec{m}_{\text{induced}} = -\chi \vec{B}_{\text{ext}}

where χ>0\chi > 0 is the (positive) diamagnetic susceptibility. The negative sign is the signature of diamagnetism.

  1. The force is always repulsive A magnetic dipole in a non-uniform field experiences a force:

F⃗=∇(m⃗⋅B⃗)\vec{F} = \nabla(\vec{m} \cdot \vec{B})

Since m⃗induced\vec{m}_{\text{induced}} points opposite to B⃗\vec{B}, the dot product m⃗⋅B⃗\vec{m} \cdot \vec{B} is negative and decreases as the field strengthens. The gradient points the dipole toward weaker field regions—away from the magnet pole.

  1. Pole identity doesn't matter …

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