A paramagnetic sample shows a net magnetisation of `8Am^-1` when placed in an external magnetic field of `0*6T` at a temperature of `4K`. When the same sample is placed in an external magnetic field of `0*2T` at a temperature of `16K`, the magnetisation will be

Options

A. `(32)/(3)Am^(-1)`
B. `(2)/(3)Am ^(-1)`
C. `6Am^(-1)`
D. `2.4Am^(-1)`

Explanation

To solve the problem, we will use Curie's Law, which states that the magnetization \( M \) of a paramagnetic material is directly proportional to the magnetic field \( B \) and inversely proportional to the temperature \( T \). The relationship can be expressed as:

\[ M = \frac{C \cdot B}{T} \]

where \( C \) is Curie's constant.

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