Question

The magnetic susceptibility of a paramagnetic material at $-73°\mathrm{C}$ is $0.0060$ and its value at $-173°\mathrm{C}$ will be

Answer 1

Magnetic susceptibility:

The degree to which a substance can get magnetized by an external magnetic field is known as magnetic susceptibility.

Magnetic Susceptibility uses:

• MS is largely utilized as a relative proxy indication for compositional changes that can be connected to depositional processes controlled by paleoclimate.
• Susceptibility loggers' excellent precision and sensitivity make this measurement very helpful for core-to-core and core-downhole log correlation.
• The physical relationship between MS and specific sediment components, the strength and direction of the ocean or wind currents, or provenance typically calls for additional in-depth magnetic properties experiments in a dedicated shore-based laboratory.

Magnetic susceptibility formula:

• Magnetic susceptibility$⟹{\mathrm{\chi }}_1{\mathrm{T}}_1={\mathrm{\chi }}_2{\mathrm{T}}_2$

Step 1: Analyzing the given quantities

• $$\begin{gathered} {\mathrm{X}}_1=\mathrm{magnetic}\mathrm{susceptibility}\mathrm{at}{\mathrm{T}}_1 \\ {\mathrm{X}}_2=\mathrm{magnetic}\mathrm{susceptibility}\mathrm{at}{\mathrm{T}}_2 \end{gathered}$$
• $$\begin{gathered} \mathrm{Given}:{\mathrm{\chi }}_1=0.0075 \\ {\mathrm{T}}_1=-73°\mathrm{C} \\ =273-73 \\ {\mathrm{T}}_1=200\mathrm{K} \\ \mathrm{Also}{\mathrm{T}}_2=-173°\mathrm{C} \\ =273-173 \\ {\mathrm{T}}_2=100\mathrm{K} \end{gathered}$$

Step 2: Applying formula

• Applying the magnetic susceptibility formula $⟹{\mathrm{\chi }}_1{\mathrm{T}}_1={\mathrm{\chi }}_2{\mathrm{T}}_2$
• $$\begin{gathered} \therefore (0.0075)\left(200\right)={\mathrm{\chi }}_2\left(100\right) \\ ⟹{\mathrm{\chi }}_2=0.015 \end{gathered}$$

The magnetic susceptibility of a paramagnetic material at $-173°\mathrm{C}$ will be $0.015$.