Question

The magnetic susceptibility of a material of a rod is 499. Permeability of vacuum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod in henry per meter is (A) $\pi \times 10^{-4}$ (B) $2 \pi \times 10^{-4}$ (C) $3 \pi \times 10^{-4}$ (D) $4 \pi \times 10^{-4}$

Name: Problem 46, Chapter 16: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-08T16:55:15-08:00
Duration: 1 min 4 s
Channel: Ankur S
Description: The magnetic susceptibility of a material of a rod is 499. Permeability of vacuum is 4 π×10^-7 H / m. Absolute permeability of the material of the rod in henry per meter is (A) π×10^-4 (B) 2 π×10^-4 (C) 3 π×10^-4 (D) 4 π×10^-4

   The magnetic susceptibility of a material of a rod is 499. Permeability of vacuum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod in henry per meter is 
(A) $\pi \times 10^{-4}$
(B) $2 \pi \times 10^{-4}$
(C) $3 \pi \times 10^{-4}$
(D) $4 \pi \times 10^{-4}$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 16, Problem 46

Instant Answer

Solved by Expert Ankur S

10/08/2021

Step 1

Step 1: We are given the magnetic susceptibility $\chi$ of the material of the rod as 499 and the permeability of vacuum $\mu_0$ as $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Show more…

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The magnetic susceptibility of a material of a rod is 499. Permeability of vacuum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod in henry per meter is (A) $\pi \times 10^{-4}$ (B) $2 \pi \times 10^{-4}$ (C) $3 \pi \times 10^{-4}$ (D) $4 \pi \times 10^{-4}$

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Key Concepts

Magnetic Susceptibility

Magnetic susceptibility is a dimensionless proportionality constant that indicates the degree to which a material can be magnetized in an external magnetic field. It is used to determine how much magnetization is induced in the material relative to the applied magnetic field.

Absolute Magnetic Permeability

Absolute magnetic permeability is a measure of the ability of a material to support the formation of a magnetic field within itself. It is calculated using the relation ? = ??(1 + ?), where ?? is the permeability of free space and ? is the magnetic susceptibility of the material.

Permeability of Vacuum

The permeability of vacuum, often represented as ??, is a fundamental physical constant that characterizes the magnetic permeability of free space. It is used as a baseline in electromagnetic theory and is given a value of 4?×10^-7 H/m.

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