Which of the following statements are correct?
(A) Magnetic susceptibility is defined as ratio of Intensity of magnetisation to magnetic field intensity.
(B) Magnetic susceptibility is a ratio of similar quantities therefore has no unit.
(C) The value of magnetic susceptibility for vacuum is one.
(D) Greater is the value of intensity of magnetisation, smaller is the value of susceptibility.
(E) Smaller is the value of magnetic field intensity, smaller is value of susceptibility.
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) and (B) only
The magnetic susceptibility \( \chi \) of a material is defined by \( \vec{M} = \chi\vec{H} \), so \( \chi = M/H \), the ratio of the intensity of magnetisation to the magnetic intensity.
(A) Magnetic susceptibility is defined as ratio of Intensity of magnetisation to magnetic field intensity. — Correct. This is \( \chi = M/H \).
(B) Magnetic susceptibility is a ratio of similar quantities therefore has no unit. — Correct. M and H both have the unit \( \mathrm{A\,m^{-1}} \), so the ratio is dimensionless.
(C) The value of magnetic susceptibility for vacuum is one. — Incorrect. There is no magnetisation in vacuum, so \( \chi = 0 \). It is the relative permeability \( \mu_r = 1 + \chi \) that equals 1 for vacuum.
(D) Greater is the value of intensity of magnetisation, smaller is the value of susceptibility. — Incorrect. For the same H, a larger M means a larger \( \chi = M/H \), not a smaller one.
(E) Smaller is the value of magnetic field intensity, smaller is value of susceptibility. — Incorrect. \( \chi \) is a property of the material; when H is made smaller, M falls in the same proportion and the ratio stays the same.
NCERT (2026-27):
Magnetisation and Magnetic Intensity – “… This influence is mathematically expressed as
\( \displaystyle \mathbf{M} = \chi\,\mathbf{H} \qquad (5.13) \)
where \( \chi \), a dimensionless quantity, is appropriately called the magnetic susceptibility. It is a measure of how a magnetic material responds to an external field.”
Magnetisation and Magnetic Intensity – “… where \( \mu_r = 1 + \chi \), is a dimensionless quantity called the relative magnetic permeability of the substance.”