Physics Q36 – JEE-MAIN 2025

Home Physics Magnetism and MatterQuestion #245

The relationship between the magnetic susceptibility (

χ

) and the magnetic permeability (

μ

) is given by : (

μ_{0}

is the permeability of free space and

μ_{r}

is relative permeability)

Clue 1 of 3: Fundamental Relationships

Recall the definitions and relationships between magnetic permeability, relative permeability, and magnetic susceptibility.

🥷

Ninja Strategy•Dimensional Analysis and Fundamental Relations

Quickly eliminate options based on dimensional consistency and correct algebraic signs derived from the basic definitions of magnetic permeability and susceptibility.

🧠 Full Solution Path

● Video Walkthrough

Step 1: Recall Fundamental Relationships✦ Active

The relationship between absolute permeability ( $μ$ ), relative permeability ( $μ_{r}$ ), and permeability of free space ( $μ_{0}$ ) is given by:

μ = μ_{r} μ_{0} (1)

The relationship between relative permeability ( $μ_{r}$ ) and magnetic susceptibility ( $χ$ ) is given by:

μ_{r} = 1 + χ (2)

Step 2: Substitute and Solve for Susceptibility○ Expand

Substitute equation (2) into equation (1):

μ = (1 + χ) μ_{0}

Now, rearrange the equation to solve for $χ$ :

\frac{μ}{μ_{0}} = 1 + χ

Subtract 1 from both sides:

χ = \frac{μ}{μ_{0}} - 1

💡 Teacher's Secret Hint

Ensure correct algebraic manipulation when isolating $χ$ .

Step 3: Match with Options○ Expand

Comparing the derived relationship with the given options, we find that it matches option 3.

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Physics Question 36 – JEE-MAIN 2025

Clue 1 of 3: Fundamental Relationships

🧠 Full Solution Path