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Q.The magnetic field lines near a substance are as shown in the figure. The substance is : (A) Copper (B) Iron (C) Sodium (D) Aluminium

Figure — CBSE 2023 55/4/1 Q3
Figure
CBSECBSE Class XII Board 2023MCQ· 1mImportance★★★★★
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The field lines bow away from the substance, indicating the material expels the field — the hallmark of a diamagnetic substance. Of the options, only copper is diamagnetic.


Understanding magnetic response: how materials interact with external fields

When you place a material in an external magnetic field, its atoms respond in one of three fundamental ways, depending on their electronic structure:

Diamagnetic materials (like copper, gold, bismuth) have all electrons paired. The external field induces tiny circulating currents in the electron clouds that oppose the applied field (Lenz's law at the atomic scale). The net effect: the material develops a very weak magnetization opposite to the external field, so the field inside the material is slightly weaker than outside. Relative permeability μr<1\mu_r < 1 (typically 0.99999…0.99999…). Field lines are repelled or expelled from the substance.

Paramagnetic materials (like aluminium, sodium, platinum) have unpaired electrons with permanent magnetic moments. These moments normally point randomly, but the external field aligns them along the field direction. The material develops a weak magnetization in the same direction as the applied field, so the field inside is slightly stronger. Relative permeability μr>1\mu_r > 1 (just barely, say 1.000021.00002). Field lines are drawn into the substance.

Ferromagnetic materials (iron, cobalt, nickel) also have unpaired electrons, but with strong exchange coupling between neighbouring atoms. They form magnetic domains and can be permanently magnetized. In an external field, domains align strongly, and the field inside becomes much stronger. Relative permeability μr≫1\mu_r \gg 1 (thousands). Field lines crowd into the substance dramatically.


Reading the figure

Figure — CBSE 2023 55/4/1 Q3
Figure — CBSE 2023 55/4/1 Q3

The diagram shows field lines approaching a rectangular bar from the left. Crucially, the lines bow outward around the bar — they avoid entering it. The density of lines inside the bar is lower than in the surrounding space. This is the signature pattern of field expulsion.

Watch out

A common mistake is to confuse "lines bending" with "attraction." If lines crowd into a material (higher density inside), the material is para- or ferromagnetic. If lines spread out and avoid the material (lower density inside), it is diamagnetic.


Classifying the options

Let's identify the magnetic character of each substance:

SubstanceTypeField response
CopperDiamagneticExpels field lines (as in the figure)
IronFerromagneticStrongly attracts field lines
SodiumParamagneticWeakly attracts field lines
AluminiumParamagneticWeakly attracts field lines

The figure shows field expulsion, so we need the diamagnetic substance.

Tip

Memorize the common diamagnets for exams: copper, gold, silver, bismuth, water, most organic compounds. Everything else in typical option lists (alkali metals, transition metals, aluminium) is either paramagnetic or ferromagnetic.


Only copper is diamagnetic. Iron would pull the lines in strongly (ferromagnetic); sodium and aluminium would pull them in weakly (paramagnetic). Neither matches the outward-bowing pattern.

✓Final answer

The correct option is (A) Copper, the only diamagnetic substance in the list, which expels magnetic field lines as shown.

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