KCET · Physics · Magnetic Properties of Matter
Pick out the WRONG statements about magnetic substances.
(\(\chi\) = magnetic susceptibility)
(\(\mu_r\) = relative permeability).
I. Substances with \(-1 \leq \chi < 0\) are diamagnetic.
II. Substances with \(\chi \gg 1\) are paramagnetic.
III. Substances with \(\chi \ll 1\) are ferromagnetic.
IV. Substances with \(\mu_r \gg 1\) are ferromagnetic.
- A I and II
- B III and IV
- C II and III
- D II and IV
Answer & Solution
Correct Answer
(C) II and III
Step-by-step Solution
Detailed explanation
For diamagnetic substances, the magnetic susceptibility \(\chi\) is small and negative, so \(-1 \leq \chi < 0\). Statement I is correct.
For paramagnetic substances, \(\chi\) is small and positive, so \(0 < \chi < \epsilon\). Statement II states \(\chi \gg 1\), which is incorrect as this condition applies to ferromagnetic substances.
For ferromagnetic substances, \(\chi\) is very large and positive, so \(\chi \gg 1\). Statement III states \(\chi \ll 1\), which is incorrect.
For ferromagnetic substances, the relative permeability \(\mu_r = 1 + \chi\). Since \(\chi \gg 1\), it follows that \(\mu_r \gg 1\). Statement IV is correct.
Therefore, statements II and III are wrong.
Answer: II and III
For paramagnetic substances, \(\chi\) is small and positive, so \(0 < \chi < \epsilon\). Statement II states \(\chi \gg 1\), which is incorrect as this condition applies to ferromagnetic substances.
For ferromagnetic substances, \(\chi\) is very large and positive, so \(\chi \gg 1\). Statement III states \(\chi \ll 1\), which is incorrect.
For ferromagnetic substances, the relative permeability \(\mu_r = 1 + \chi\). Since \(\chi \gg 1\), it follows that \(\mu_r \gg 1\). Statement IV is correct.
Therefore, statements II and III are wrong.
Answer: II and III
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