Magnetic Properties of Ma question bank (Physics)

In an experiment, the interior of a first current-carrying toroid with $1000$ turns per unit length is filled with aluminum (susceptibility $2.4 \times 10^{-5}$). A second, identical toroid with $500$ turns per unit length is filled with magnesium (susceptibility $1.2 \times 10^{-5}$). If both toroids carry the same current $I$, the ratio of the increase in their magnetic fields is

A paramagnetic sample shows a net magnetization of $8$ A/m when placed in an external magnetic field of $0.6$ T at a temperature of $4$ K. When the same sample is placed in an external magnetic field of $0.2$ T at a temperature of $16$ K, the magnetization (in $\dfrac{A}{m}$) will be