Difficulty: Easy
Correct Answer: Both A and R are true and R is correct explanation of A
Explanation:
Introduction / Context:
Ferromagnets show spontaneous magnetization due to exchange coupling among atomic moments. This long-range order is temperature sensitive. Above a critical temperature (Curie point), thermal agitation disrupts alignment and the material transitions to paramagnetic behavior with no spontaneous magnetization. The Assertion–Reason pair explores this fundamental thermal transition.
Given Data / Assumptions:
Concept / Approach:
Below θf, exchange interactions dominate over thermal disorder, producing spontaneous domain alignment (ferromagnetism). At T ≥ θf, thermal energy is sufficient to overcome cooperative ordering; the susceptibility follows the Curie–Weiss law, χ ∝ 1/(T − θ), and the material behaves paramagnetically without remanence or coercivity in the zero-field limit. Hence, both statements are true and the Reason directly explains the Assertion.
Step-by-Step Solution:
Verification / Alternative check:
Experimentally, magnetization–temperature curves show spontaneous magnetization dropping to zero at θf, with susceptibility changing to Curie–Weiss behavior above θf.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing the “paramagnetic Curie temperature” sign conventions; forgetting that antiferromagnets have a Néel temperature, not a Curie point.
Final Answer:
Both A and R are true and R is correct explanation of A
Discussion & Comments