$($a$)$ Calculate the induction and magnetization of a diamagnetic material $($with $$r $=0\mathrm{.}99995)$ under an

applied field strength of $2\mathrm{.}0\backslash$times $105$ A$/$m$.$

$($b$)$ Calculate the induction and magnetization of a paramagnetic material $($with $$r $=1\mathrm{.}001)$ under an

applied field strength of $5\mathrm{.}0\backslash$times $105$ A$/$m$.$

$($c$)$ Plot the B versus H behaviour of the paramagnetic material of part $($b$)$ over a range of $5\mathrm{.}0\backslash$times

$105$ A$/$m $<$ H $<5\mathrm{.}0\backslash$times $105$ A$/$m$.$ Include a dashed$-$line plot of the magnetic behaviour of a vacuum.

$($d$)$ Superimpose on the plot of part $($c$)$ the behaviour of the diamagnetic material of part $($a$)$