The range of magnetic susceptibility and relative magnetic permeability for diamagnetic substances are

  1. -1 ≥ χ > 0, 0 ≤ μr < 1
  2. -1 ≤ χ < 0, 0 ≥ μr < 1
  3. -1 ≥ χ > 1, 0 ≤ μr < 1
  4. -1 ≤ χ < 0, 0 ≤ μr < 1

Answer (Detailed Solution Below)

Option 4 : -1 ≤ χ < 0, 0 ≤ μr < 1
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Diamagnetic Substances: The substances which are weekly magnetized when placed in an external magnetic field, in a direction opposite to the applied field are called diamagnetic substances.

Example: Copper, lead, gold, silver, zinc, antimony, bismuth, etc.

Properties:

  • These substances are repelled by a magnet
  • Atomic orbitals of these substances are completely filled
  • It develops weak magnetization in a direction opposite to the direction of the applied magnetic field
  • As soon as the magnetizing field removed, it loses its magnetization
  • When placed in a non-uniform magnetic field, it tends to move from stronger to weaker regions of the magnetic field
  • When placed in a uniform magnetic field, it aligns itself perpendicular to the direction of the magnetic field
  • Magnetic susceptibility is a small negative value
  • Relative permeability is close to one and always less than 1
  • Magnetic permeability is slightly less compared to free space

Material

Magnetic Susceptibility (X)

Relative Permeability

(K= 1 + Xm)

Magnetic Permeability

m = Kmμ0)

Diamagnetic

-10-5 to -10-9

< 1

μm < μ0

Paramagnetic

10-5 to 10-3

> 1

μm > μ0

Ferromagnetic

≫ 1

≫ 1

μ μ0

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