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Question: Given below are two statements: **Statement – I:** Permeability of paramagnetic and ferromagnetic s...

Given below are two statements:

Statement – I: Permeability of paramagnetic and ferromagnetic substances increase with decrease in temperature.

Statement – II: Diamagnetism is a result of orbital motions of electrons developing magnetic moments opposite to the applied magnetic field.

Choose the correct answer from the options given below:

A

Both Statement – I and Statement – II are true

B

Both Statement – I and Statement – II are false

C

Statement – I is true but Statement – II is false

D

Statement – I is false but Statement – II is true

Answer

Both Statement – I and Statement – II are true

Explanation

Solution

Statement I Explanation:

  • Paramagnetic Substances: The magnetic susceptibility (χ\chi) follows Curie's Law: χ=C/T\chi = C/T, where CC is the Curie constant and TT is the absolute temperature. As TT decreases, χ\chi increases. Permeability (μ\mu) is related to susceptibility by μ=μ0(1+χ)\mu = \mu_0 (1 + \chi). Therefore, as χ\chi increases, μ\mu also increases.

  • Ferromagnetic Substances: Below the Curie temperature (TCT_C), stronger alignment of magnetic domains occurs as temperature decreases, significantly increasing susceptibility and permeability. Above TCT_C, they behave paramagnetically, following the Curie-Weiss law: χ=C/(TTC)\chi = C/(T - T_C), implying increased susceptibility as temperature approaches TCT_C.

Statement II Explanation:

Diamagnetism arises from the orbital motion of electrons. An external magnetic field induces a change in this motion, creating an induced magnetic moment that opposes the applied field, as described by Lenz's Law. This results in weak repulsion from the magnetic field.