Assertion–Reason (Magnetism): Diamagnetic susceptibility is much smaller in magnitude than paramagnetic susceptibility; for both classes the relative permeability μr is close to unity.

Difficulty: Easy

Correct Answer: Both A and R are true but R is not correct explanation of A

Explanation:


Introduction / Context:
Magnetic materials are broadly categorized by their magnetic susceptibility χ and relative permeability μr = 1 + χ. Diamagnets possess small negative χ; paramagnets have small positive χ. Knowing magnitudes and physical origins clarifies many design choices in electromagnetics.



Given Data / Assumptions:

  • Diamagnetic χ typically ~ −10^-5 to −10^-6; paramagnetic χ typically ~ +10^-3 to +10^-6.
  • μr = 1 + χ for linear, isotropic materials under weak fields.
  • No cooperative magnetic ordering (i.e., not ferro/ferri/antiferromagnets).


Concept / Approach:
The assertion states the magnitude of diamagnetic susceptibility is much smaller than that of paramagnetic susceptibility, which is generally true for most elemental and molecular solids. The reason claims μr ≈ 1 for both. While that statement is also true (since |χ| ≪ 1), it does not explain why diamagnetic |χ| is typically smaller than paramagnetic χ. The origins differ: diamagnetism arises from induced currents opposing applied fields (Lenz-like response), whereas paramagnetism arises from alignment of permanent atomic magnetic moments from unpaired spins; the latter mechanism usually yields larger χ.



Step-by-Step Solution:

Accept A: |χ_dia| ≪ χ_para in most cases.Evaluate R: μr ≈ 1 is true but merely restates small χ, not the magnitude comparison between classes.Therefore, both true, but R is not the correct explanation.


Verification / Alternative check:

Tabulated values (e.g., Cu: χ ≈ −10^-5; Al: χ ≈ +2×10^-5) illustrate the stated orders of magnitude.


Why Other Options Are Wrong:

Claiming R explains A confuses a mathematical identity with a physical cause.Saying A false contradicts typical magnitudes.


Common Pitfalls:

Mixing up sign (negative vs positive χ) with magnitude; assuming μr close to 1 implies identical behavior.


Final Answer:

Both A and R are true but R is not correct explanation of A

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