$A$ paramagnetic salt contains $2 \times 10^{26} \, m^{-3}$ atomic dipoles. Each dipole has a magnetic moment of $1.5 \times 10^{-23} \, A \cdot m^2$. What is the saturation magnetization?

  • A
    $3 \times 10^3 \, A/m$
  • B
    $4 \times 10^{-3} \, A/m$
  • C
    $5 \times 10^5 \, A/m$
  • D
    $6 \times 10^{-4} \, A/m$

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Match List-$I$ with List-$II$.
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$B$. Ferromagnetic$II$. $0 > \chi \geq -1$
$C$. Paramagnetic$III$. $\chi >> 1$
$D$. Non-magnetic$IV$. $0 < \chi < \varepsilon$ (a small positive number)

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Electrical resistance of certain materials,known as superconductors,changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature $T_c(0)$. An interesting property of superconductors is that their critical temperature becomes smaller than $T_c(0)$ if they are placed in a magnetic field,i.e.,the critical temperature $T_c(B)$ is a function of the magnetic field strength $B$. The dependence of $T_c(B)$ on $B$ is shown in the figure.
$1.$ In the graphs below,the resistance $R$ of a superconductor is shown as a function of its temperature $T$ for two different magnetic fields $B_1$ (solid line) and $B_2$ (dashed line). If $B_2 > B_1$,which of the following graphs shows the correct variation of $R$ with $T$ in these fields?
$2.$ $A$ superconductor has $T_c(0) = 100 \ K$. When a magnetic field of $7.5 \ T$ is applied,its $T_c$ decreases to $75 \ K$. For this material,one can definitely say that when:
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