Q161 / 200 · MHT CET - Medical 2026 (21 April Shift 1) · Physics

Magnetic susceptibility ($\chi$) is related to magnetic relative permeability ($\mu_r$) by the relation

  • A
    $\chi = 1 / (\mu_r - 1)$
  • B
    $\chi = \mu_r + 1$
  • Correct answer
    C
    $\chi = \mu_r - 1$
  • D
    $1 / (\mu_r + 1)$

Solution

The magnetic permeability of a material is given by $\mu = \mu_0 (1 + \chi)$, where $\chi$ is the magnetic susceptibility.

The relative magnetic permeability is defined as $\mu_r = \dfrac{\mu}{\mu_0}$.

Substituting this into the first equation gives $\mu_r = 1 + \chi$.

Rearranging the terms, we get $\chi = \mu_r - 1$.

Answer: $\chi = \mu_r - 1$

Hence, the correct answer is option: 'C'.

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