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:
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
Discussion & Comments