# the magnetic susceptibility of a paramagnetic substance is inversely proportional to its

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## [Solved] The magnetic susceptibility of a paramagnetic material at &n

The correct answer is option 2) i.e. 0.015 CONCEPT: Magnetic susceptibility: Magnetic susceptibility (χ) is a measure of the degree

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## Question

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## The magnetic susceptibility of a paramagnetic material at –73 °C is 0.0075 . What will be the magnetic susceptibility at –173 °C?

0.005 0.015 0.025 0.055

## Answer (Detailed Solution Below)

Option 2 : 0.015

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## Detailed Solution

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The correct answer is option 2) i.e. 0.015

CONCEPT**:**

Magnetic susceptibility: Magnetic susceptibility (χ) is a measure of the degree of magnetization of a material under an external magnetic field.

It is related to the magnetization (M) and magnetizing field (H) as follows

χ χ=MH

Paramagnetic substances: Paramagnetic substances are those substances that get weakly magnetized with the influence of an external magnetic field.

A paramagnetic atom has spin and orbital magnetic moments aligned in such a way that they have a permanent magnetic dipole moment.

However, due to the thermal vibrations of the atoms, these magnetic moments get aligned in random directions such that the net magnetic moment is zero.

Under the influence of an external magnetic field, they tend to get slowly aligned along the direction of the field.

The magnetic **susceptibility** of a paramagnet is inversely proportional to the value of the absolute **temperature on the Kelvin scale**.

**CALCULATION**

**:**

Given that:

Magnetic susceptibility, χ1= 0.0075

Temperature, T1 = –73 °C = 200 K

Temperature, T2 = –173 °C = 100 K

Magnetic susceptibility of a paramagnet is inversely proportional to the value of the absolute temperature χ

⇒χ=1T

**⇒ χT = constant**

χ1T1 = χ2T2

⇒ (0.0075 × 200) = (χ2 × 100)

**⇒ χ2 = 0.015**

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## The magnetic susceptibility' of paramagnetic substances Is Inversely proportional to its absolute temperature Define curie

The magnetic susceptibility' of paramagnetic substances Is Inversely proportional to its absolute temperature Define curie- weiss law.

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The magnetic susceptibility' of paramagnetic substances Is Inversely proportional to its absolute temperature Define curie- weiss law.

Updated On: 27-06-2022

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## electric susceptibility

magnetic susceptibility, quantitative measure of the extent to which a material may be magnetized in relation to a given applied magnetic field. The magnetic susceptibility of a material, commonly symbolized by χm, is equal to the ratio of the magnetization M within the material to the applied magnetic field strength H, or χm = M/H. This ratio, strictly speaking, is the volume susceptibility, because magnetization essentially involves a certain measure of magnetism (dipole moment) per unit volume. Magnetic materials may be classified as diamagnetic, paramagnetic, or ferromagnetic on the basis of their susceptibilities. Diamagnetic materials, such as bismuth, when placed

## electric susceptibility

physics

By The Editors of Encyclopaedia Britannica Article History

Related Topics: magnetic susceptibility electric polarization

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**electric susceptibility**, quantitative measure of the extent to which an electric field applied to a dielectric material causes polarization, the slight displacement of positive and negative charge within the material. For most linear dielectric materials, the polarization P is directly proportional to the average electric field strength E so that the ratio of the two, P/E, is a constant that expresses an intrinsic property of the material. The electric susceptibility, χe, in the centimetre-gram-second (cgs) system, is defined by this ratio; that is, χe = P/E. In the metre-kilogram-second (mks) system, electric susceptibility is defined slightly differently by including the constant permittivity of a vacuum, ε0, in the expression; that is, χe = P/(ε0E). In both systems the electric susceptibility is always a dimensionless positive number. Because of the slight difference in definition, the value of the electric susceptibility of a given material in the mks system is 4π times its value in the cgs system.

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