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A substance whose relative permeability is less than the permeability of free space is _____________.

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Answer & Explanation
Correct AnswerA. Diamagnetic

Quick Explanation

A diamagnetic material has permeability slightly below that of free space, equivalently relative permeability μr slightly less than 1. It develops a weak magnetization opposite to the applied field.

Formula / Key Relation

μ = μ₀ μᵣ
χm = μᵣ - 1
Diamagnetic: χm < 0 and μᵣ < 1

Detailed Explanation

Concept & Reasoning

The wording compares material permeability with free-space permeability. Since μ = μ0 μr, a material with μ < μ0 has μr < 1 and is diamagnetic. Paramagnetic substances have μr slightly greater than 1, while ferromagnetic materials can have μr many times larger than 1. Diamagnetism is weak and generally associated with negative magnetic susceptibility.

How to Solve It in the Exam

μ below μ₀ ⇒ μr below 1 ⇒ diamagnetic.

Important Exam Point

Translate permeability wording into relative permeability before selecting the material class.

Related Revision Path

This question sits in the revision path Electromagnetic Fields → Magnetic Materials → Magnetic Properties .

Diamagnetism explanatory diagram

Quick Trick

μ below μ₀ ⇒ μr below 1 ⇒ diamagnetic.

Common Mistake

Relative permeability is dimensionless; compare μr with 1, not numerically with μ0.

Exam Tip

Translate permeability wording into relative permeability before selecting the material class.

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Previous Exam Appearances

Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 109

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