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Superconductors are perfect diamagnets with susceptibility χ in CGS units to be :

  • A.\( -1/4\pi \)
  • B.\( 10^{-6} \)
  • C.\( 10^{6} \)
  • D.\( 4\pi \)

Answer: A

The susceptibility is \( -1/4\pi \) in CGS units.

The Meissner effect expels the field, so inside the superconductor \( B = 0 \). In CGS units \( B = H + 4\pi M \), so

\[ \begin{aligned} H + 4\pi M &= 0 \\ \chi = \frac{M}{H} &= -\frac{1}{4\pi} \end{aligned} \]

(In SI the same perfect diamagnetism is \( \chi = -1 \).) \( 10^{-6} \) and \( 10^{6} \) are positive, the sign of paramagnetic materials, and \( 4\pi \) has the wrong sign and size.

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