A magnetic dipole is oscillating in a magnetic field obeying the following expression d 2 θ dt 2 = - mB I θ : What is the time period of oscillation and mention the nature of oscillation?

Given The equation of oscillation is, d 2 θ dt 2 = - mB I θ , Where, m = magnetic moment. I =moment of inertia. B = magnetic field intensity. θ = the angle of the oscillating dipole at time t . Hence, the angular velocity is dθ dt and the angular acceleration is d 2 θ dt 2 As given the angular acceleration d 2 θ dt 2 = - mB I θ . Comparing this with the equation of angular oscillation ω 2 = MB I or ω = MB I This shows that the angular acceleration is proportional to the angular displacement and minus sign indicates that it is directed towards the mean position. Hence, the oscillation is angular simple harmonic motion. The time period of an angular SHM is given by T = 2 π ω so T = 2 π I MB . Hence the time period of the dipole is T = 2 π I M B and the oscillations are the angular SHM.

Of two metals A and B, it is found that χ A > > 1 and - 1 ≤ χ B < 0 . Name the types of materials to which the metals A and B do belong. Give one example of each.

Magnetic susceptibility is a measure of how a magnetic material responds to an external magnetic field. For material A, the susceptibility, χ A > > 1 hence, is a ferromagnetic material. The susceptibility of material B lies between - 1 and 0 hence, it is a diamagnetic material. Copper is a diamagnetic material and iron is an example of ferromagnetic material.

Of two metals A and B, it is found that χ A > > 1 and - 1 ≤ χ B < 0 . Name the types of materials to which the metals A and B do belong. Give one example of each.

Magnetic susceptibility is a measure of how a magnetic material responds to an external magnetic field. For material A, the susceptibility, χ A > > 1 hence, is a ferromagnetic material. The susceptibility of material B lies between - 1 and 0 hence, it is a diamagnetic material. Copper is a diamagnetic material and iron is an example of ferromagnetic material.

A magnetic dipole is oscillating in a magnetic field obeying the following expression d 2 θ dt 2 = - mB I θ : What is the time period of oscillation and mention the nature of oscillation?

Given The equation of oscillation is, d 2 θ dt 2 = - mB I θ , Where, m = magnetic moment. I =moment of inertia. B = magnetic field intensity. θ = the angle of the oscillating dipole at time t . Hence, the angular velocity is dθ dt and the angular acceleration is d 2 θ dt 2 As given the angular acceleration d 2 θ dt 2 = - mB I θ . Comparing this with the equation of angular oscillation ω 2 = MB I or ω = MB I This shows that the angular acceleration is proportional to the angular displacement and minus sign indicates that it is directed towards the mean position. Hence, the oscillation is angular simple harmonic motion. The time period of an angular SHM is given by T = 2 π ω so T = 2 π I MB . Hence the time period of the dipole is T = 2 π I M B and the oscillations are the angular SHM.

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2020>Q 6

MEDIUM

12th Assam Board

IMPORTANT

Earn 100

Define magnetic declination. How does it depend on latitudes?

Important Questions on Magnetism and Matter

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2018>Q 1

Define the elements of the earth's magnetic field.

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2018>Q 2

Define magnetisation and magnetic intensity. Deduce the relation among relative magnetic permeability, permeability of vacuum and magnetic susceptibility. What is the values of susceptibility of a superconductor?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2019>Q 3

What did Meissner actually observe which is known as Meissner effect?

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12th Assam Board

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2019>Q 4

A magnetic dipole is oscillating in a magnetic field obeying the following expression

$\frac{d^{2} θ}{{dt}^{2}} = - \frac{mB}{I} θ$ :

What is the time period of oscillation and mention the nature of oscillation?

MEDIUM

12th Assam Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Magnetism and Matter>assam board-2020>Q 5

Of two metals A and B, it is found that $χ_{A} > > 1$ and $- 1 \leq χ_{B} < 0$ . Name the types of materials to which the metals A and B do belong. Give one example of each.