Magnetism and Maxwell's Equations MCQ Quiz - Objective Question with Answer for Magnetism and Maxwell's Equations - Download Free PDF

Last updated on May 9, 2025

Latest Magnetism and Maxwell's Equations MCQ Objective Questions

Magnetism and Maxwell's Equations Question 1:

If the magnetizing field on a ferromagnetic material is increased, its permeability  

  1. decreases
  2. increases
  3. remains unchanged 
  4. first decreases and then increases
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : decreases

Magnetism and Maxwell's Equations Question 1 Detailed Solution

Concept:
  • Magnetic permeability is the property of the magnetic material which indicates the magnetization capability,
  • Magnetic permeability depends on nature of the material.
  • It is always positive and given by the formula :  μ = \(\frac{B}{H}\)
Explanation:
We know that, 
  • μ = \(\frac{B}{H}\) , where μ is the permeability, B is the established magnetic field inside the material and H is the applied external magnetic field.
  • Since, μ is inversely proportional to the H(External magnetic field)
  • If we increase the value of H the value of B remains the same within the material.
  • Hence, the permeability(μ) will decrease. 
Hence, the correct option is (1)

Magnetism and Maxwell's Equations Question 2:

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Relation between magnetic susceptibility and magnetic permeability is:

  1. Linear
  2. inversly
  3. quadratic
  4. Both are same

Answer (Detailed Solution Below)

Option 1 : Linear

Magnetism and Maxwell's Equations Question 2 Detailed Solution

Explanation:

The magnetic permeability (μ) of a material is related to its magnetic susceptibility (χm) as:

μ = μ0(1 + χm)

Where:

  • μ = magnetic permeability of the material
  • μ0 = permeability of free space (vacuum)
  • χm = magnetic susceptibility of the material

This shows a linear relationship between magnetic susceptibility and magnetic permeability for most materials.

However, in many practical magnetic materials, when susceptibility increases significantly, effective permeability may appear to vary inversely in certain contexts like demagnetizing fields or in relative comparisons.

Correct relation: μ = μ0(1 + χm) ⇒ linear relation

Magnetism and Maxwell's Equations Question 3:

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A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then uncertainty of the magnetic field at point P is : 

  1. 10%
  2. 6%
  3. 3%
  4. 5%

Answer (Detailed Solution Below)

Option 3 : 3%

Magnetism and Maxwell's Equations Question 3 Detailed Solution

Calculation:

Without considering uncentainity in ℓ.

\(\mathrm{B}=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{~m}}{\mathrm{r}^{3}}\)

\(\mathrm{B} \propto \frac{1}{\mathrm{r}^{3}}\)

\(\frac{\Delta \mathrm{B}}{\mathrm{~B}}=3 \times\left(\frac{\Delta \mathrm{r}}{\mathrm{r}}\right)\)

% uncertainity in B = 3%

Magnetism and Maxwell's Equations Question 4:

As shown in the figure a bar magnet is moving towards a stationary coil with constant speed v. The direction of induced current in the coil observed by the observer on R.H.S. is ___________.

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  1. Anticlockwise
  2. Clockwise
  3. Current changes its direction randomly
  4. Induced current will not be produced
  5. None of these

Answer (Detailed Solution Below)

Option 2 : Clockwise

Magnetism and Maxwell's Equations Question 4 Detailed Solution

Concept:

Lenz's Law: Lenz’s Law states that the induced current in a circuit always flows in such a direction that it opposes the change in magnetic flux that produced it.

  • When a bar magnet moves towards the coil, the flux linked with the coil increases.
  • To oppose this increase, the coil will generate a magnetic field opposite to that of the magnet.
  • In this case, since the North (N) pole of the magnet is approaching, the coil will behave like a North pole on the side facing the magnet.
  • Using the Right-Hand Rule, the direction of the induced current is determined.

Calculation:

Given,

The bar magnet moves towards the stationary coil with velocity v.

F1 S.B 29.8.20 Pallavi D3

⇒ According to Lenz’s Law, the coil opposes the motion by acting as a North pole on the side facing the magnet.

⇒ For the observer on the Right-Hand Side (RHS), the current in the coil must flow clockwise to create a North pole.

∴ The direction of the induced current, as seen by the observer on the RHS, is clockwise.

Magnetism and Maxwell's Equations Question 5:

A coil of area A and N turns is rotating with angular velocity ω in a uniform magnetic field \(\rm \vec B\) about an axis perpendicular to \(\rm \vec B\). Magnetic flux φ and induced emf ε across it, at an instant when \(\rm \vec B\) is parallel to the plane of coil, are :  

  1. φ = AB, ε = 0
  2. φ = 0, ε = NABω
  3. φ = 0, ε = 0
  4. φ = AB, ε = NABω

Answer (Detailed Solution Below)

Option 2 : φ = 0, ε = NABω

Magnetism and Maxwell's Equations Question 5 Detailed Solution

Calculation:

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ϕ = BAN.cos(ωt)

\(\varepsilon=\frac{-\mathrm{d} \phi}{\mathrm{dt}}=\mathrm{BA} \omega \mathrm{N} . \sin (\omega \mathrm{t})\)

When B is parallel to plane, \(\underline{\underline{\omega}} \mathrm{t}=\frac{\pi}{2}\)

⇒ ϕ = 0, ε = BAωN

Top Magnetism and Maxwell's Equations MCQ Objective Questions

Which of the following correctly depicts the magnetic field due to a bar magnet?

  1. Magnetism Rishi 14Q Part 2 Hindi - Final images Q1
  2. Magnetism Rishi 14Q Part 2 Hindi - Final images Q1a
  3. Magnetism Rishi 14Q Part 2 Hindi - Final images Q1b
  4. Magnetism Rishi 14Q Part 2 Hindi - Final images Q1c

Answer (Detailed Solution Below)

Option 3 : Magnetism Rishi 14Q Part 2 Hindi - Final images Q1b

Magnetism and Maxwell's Equations Question 6 Detailed Solution

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CONCEPT:

  • Bar Magnet: bar magnet consists of two equal and opposite magnetic pole separated by a small distance. Poles are not exactly at the ends.
  • The shortest distance between two poles is called effective length (Le) and is less than its geometric length (Lg) for bar magnet.
  • Magnetic field and magnetic lines of force: It is the space around a magnetic pole or magnet or current-carrying wire within which it's magnetic effect can be experienced is defined as a magnetic field.
  • The magnetic field can be represented with the help of a set of lines or curves called magnetic lines of force.

EXPLANATION:

Properties of magnetic field line:

  1. The magnetic field line is directed from the north pole to the south pole.
  2. Magnetic field lines are closed and continuous.
  3. Magnetic field lines are more crowded near poles.
  4. Magnetic field lines never intersect with each other.
  • Magnetic field lines originate from the north pole and terminate at the south pole while forming continuous closed paths. Therefore option 3 only satisfies this property.

 When does a ferromagnetic material become a paramagnetic material?

  1. At Curie temperature only
  2. Below Curie temperature
  3. Above Curie temperature
  4. Never

Answer (Detailed Solution Below)

Option 3 : Above Curie temperature

Magnetism and Maxwell's Equations Question 7 Detailed Solution

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CONCEPT:

  • Curie temperature: Curie temperature is the temperature at which the magnetic properties of a material change.
    • When the temperature is greater than the Curie temperature, ferromagnetic material becomes paramagnetic material.

 

F1 J.K Madhu 19.05.20 D16

  • Ferromagnetic material: Ferromagnetic materials have a large, positive susceptibility to an external magnetic field. They exhibit a strong attraction to magnetic fields and can retain their magnetic properties after the external field has been removed. For examples Iron, nickel, and cobalt.
  • Paramagnetic material: Paramagnetic materials have a small, positive susceptibility to magnetic fields. These materials are slightly attracted by a magnetic field and the material does not retain the magnetic properties when the external field is removed. For examples magnesium, molybdenum, lithium.

 

EXPLANATION:

  • Curie temperature is the temperature at which the magnetic properties of a material change. When the temperature is greater than Curie temperature, ferromagnetic material becomes paramagnetic material.

So option 3 is correct.

For paramagnetic materials, magnetic susceptibility (χ) is ________.

  1. positive and small
  2. negative and small
  3. negative and large
  4. positive and large

Answer (Detailed Solution Below)

Option 1 : positive and small

Magnetism and Maxwell's Equations Question 8 Detailed Solution

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CONCEPT:

  • Magnetic susceptibility (χm): It is the property of the substance which shows how easily a substance can be magnetized.
  • It is defined as the ratio of the intensity of magnetization (I) in a substance to the magnetic intensity (H) applied to the substance,  i.e. \(\chi = \frac{I}{H}\)
  • It is a scalar quantity with no units and dimensions


EXPLANATION:

  • Paramagnetic substances are those which develop feeble magnetization in the direction of the magnetizing field.
  • Such substances are feebly attracted by magnets and tend to move from weaker to stronger parts of a magnetic field.
  • Magnetic susceptibility is small and positive i.e. 0 <  χ. Therefore option 1 is correct.
  • Example: Manganese, aluminum, chromium, platinum, etc.

Physics ST 3 Group X jitendra kumar D2

Diamagnetic substances:

  • Diamagnetic substances are those which develop feeble magnetization in the opposite direction of the magnetizing field.
  • Such substances are feebly repelled by magnets and tend to move from stronger to weaker parts of a magnetic field.
  • Magnetic susceptibility is small and negative i.e. -1 ≤  χ ≤ 0. 
  • Examples: Bismuth, copper, lead, zinc, etc.


Ferromagnetic substances:

  • Ferromagnetic substances are those which develop strong magnetization in the direction of the magnetizing field.
  • They are strongly attracted by a magnet and tend to move from weaker to the stronger part of a magnetic field.
  • Magnetic susceptibility is very large and positive i.e. χ > 1000
  • Example: Iron, cobalt, nickel, gadolinium, and alloys like alnico.

The neutral point in the magnetic field of a horizontally positioned bar magnet is the: 

  1. point where the magnetic field changes direction
  2. point where the magnetic field is the weakest 
  3. point where the magnetic field is the strongest
  4. point where the magnetic field is zero

Answer (Detailed Solution Below)

Option 4 : point where the magnetic field is zero

Magnetism and Maxwell's Equations Question 9 Detailed Solution

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The correct answer is point where the magnetic field is zero.
Key Points
  • The neutral point in the magnetic field of a horizontally positioned bar magnet is the point where the magnetic field is zero.
  • This point is also known as the magnetic equator or the magnetic neutral axis.
  • At this point, the magnetic field lines of the magnet are parallel to the surface of the earth.
  • The location of the neutral point depends on the strength and orientation of the magnet.

Additional Information

  • Magnetic field does not change direction at the neutral point, but rather it changes direction at the poles of the magnet.
  • Magnetic field is not necessarily the weakest at the neutral point, as it can be weaker or stronger depending on the distance from the magnet and the strength of the magnet.
  • Magnetic field is strongest at the poles of the magnet.

The substances which are attracted by the magnetic field are

  1. Diamegnetic
  2. Paramagnetic
  3. Ferromagnetic
  4. Ferrimagnetic

Answer (Detailed Solution Below)

Option 3 : Ferromagnetic

Magnetism and Maxwell's Equations Question 10 Detailed Solution

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Concept:

  • Diamagnetic Substances are substances that acquire feeble magnetism when placed in a magnetic field and the direction of the induced magnetic field is opposite to that of the applied magnetic field. Examples are bismuth, copper, silver, gold, mercury etc. 
  • Paramagnetic Substances are substances that acquire feeble magnetism when placed in a magnetic field and the direction of the induced magnetic field is the same as that of the applied magnetic field. Examples are aluminium, manganese, platinum etc. 
  • Ferromagnetic substances are substances that acquire strong magnetism when placed in a magnetic field and the direction of the induced magnetic field is same as that of the applied magnetic field. Examples are iron, cobalt, nickel etc. 
  • Ferrimagnetic Substances: This effect is observed when the magnetic moments of the domains in the substance are aligned in parallel and anti-parallel directions in unequal numbers. Ferrimagnetic substances are weakly attracted by a magnetic field as compared to ferromagnetic substances. Example: NiFe2O4, CoFe2O4, Fe3O4 (or FeO.Fe2O3), CuFe2O4 etc.

Explanation:

  • Ferromagnetic metals are strongly attracted by a magnetic force.
  • The common ferromagnetic metals include iron, nickel, cobalt and alloys such as steel.
  • Ferromagnetic metals are commonly used to make permanent magnets.

Which of the following is an example of a Natural magnet?

  1. A bar magnet
  2. Horse - shoe magnet
  3. Magnetite of Lodestone
  4. Electromagnet

Answer (Detailed Solution Below)

Option 3 : Magnetite of Lodestone

Magnetism and Maxwell's Equations Question 11 Detailed Solution

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CONCEPT:

  • Magnet: A magnet is an object that has a magnetic field. A magnet attracts or repels other magnets or magnetic materials.
    • When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another. 
  • A natural magnet is nothing but an ore of iron that attracts small pieces of iron, nickel, and cobalt towards it.

EXPLANATION:

  • The magnetite of Lodestone is an example of Natural magnets

Additional Information

  • Bar magnet, Horseshoe magnet & Electromagnet are examples of the artificial magnet

A susceptibility of a certain magnetic material is 400. What is the class of the magnetic material?

  1. Diamagnetic 
  2. Paramagnetic 
  3. Ferromagnetic
  4. Ferroelectric 

Answer (Detailed Solution Below)

Option 3 : Ferromagnetic

Magnetism and Maxwell's Equations Question 12 Detailed Solution

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CONCEPT:

  • The magnitude of the internal polarization (J) divided by the strength of the external field (B) is called Magnetic susceptibility.
  • It is denoted by Greek letter chi (χ).
  • Based on magnetic property materials are of 4 types:
  1. Diamagnetic
  2. Paramagnetic
  3. Superparamagnetic
  4. Ferromagnetic


EXPLANATION:

  • Below table shows Magnetic Susceptibility χ for different materials:
     

Material

Magnetic Susceptibility

Examples

Diamagnetic

-10

Water, Most biological substances

Paramagnetic

+1

Molecular O2, Simple salts

Ferromagnetic

high value

Iron, Steel

 

  • Given that magnetic material is 400.
  • This is a higher value. Comparing to the values in the table the material will be Ferromagnetic.
  • So, the answer will be option 3.

Important Points

The susceptibility of ferromagnetic material is Large and positive. Ferromagnetic materials follow the Curie – Weiss law. When ferromagnetic substance heated above Curie temperature (Tc)

\(i.e.\chi \propto \frac{1}{{T - {T_C}}}\)

The best material to make permanent magnets is

  1. aluminium
  2. soft iron
  3. copper
  4. alnico

Answer (Detailed Solution Below)

Option 4 : alnico

Magnetism and Maxwell's Equations Question 13 Detailed Solution

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Concept:

Magnet: It is defined as a material that can produce its own magnetic field. There are two types of magnet,

  • Permanent magnet
  • Temporary magnet

Permanent magnet: These magnets do not lose their magnetic property once they are magnetized. For example alnico, samarium cobalt, ferrite.

Temporary magnet: These magnets act like permanent magnets only when they are within a strong magnetic field. It is made up of soft iron. for example electromagnet.

Alnico:

  • The alloy which are permanent magnets that are primarily made up of a combination of aluminium, nickel and cobalt but can also include copper, iron and titanium.
  • It can be easily magnetized in an external magnetic field.
  • Due to its high coercivity and low retentivity, ​it will not lose its magnetic property.
  • It has excellent temperature stability.

Explanation:

  • Aluminum behaves like a very weak magnet. When exposed to permanent magnets, paramagnetic materials are weakly attracted.
  • Soft iron does not retain magnetism permanently, therefore soft iron core is used in electromagnets.
  • Copper is not magnetic itself. We can't observe it without very large magnetic fields.

From the above discussion, we can conclude that alnico is the best material to make a permanent magnet.

What is the direction of the magnetic field lines outside a magnet?

  1. East pole to West pole
  2. West pole to East pole
  3. North pole to South pole
  4. South pole to North pole

Answer (Detailed Solution Below)

Option 3 : North pole to South pole

Magnetism and Maxwell's Equations Question 14 Detailed Solution

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The correct answer is North pole to South pole. 

Key Points

CONCEPT:

  • Magnet: A magnet is an object that has a magnetic field. A magnet attracts or repels other items.
    • Like magnetic poles (N-N and S-S) repel each other and unlike magnetic (N-S) poles attract each other.
  • Magnetic field lines: Magnetic field strength is shown with the help of magnetic field lines also known as magnetic lines of force.
  • And as we can see magnetic field strength of any bar magnet is more at the poles compared to its center and this also true for any other magnetic material. 

F2 J.K Madhu 03.04.20 D2

EXPLANATION:

  • The direction of magnetic field lines outside a magnet is from the North Pole to the South Pole. So option 3 is correct.
  • This is because the North and South Poles of a magnet attract each other due to the position and motion of electric charges.

The electromagnets are used in-

  1. Small motors
  2. MRI
  3. Electric bell
  4. All of the above

Answer (Detailed Solution Below)

Option 4 : All of the above

Magnetism and Maxwell's Equations Question 15 Detailed Solution

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The correct answer is Option 4
Key Points

  • Small Motors:
    • In small motors, an electromagnet is used to create a rotating magnetic field that interacts with a permanent magnet or another electromagnet.
    • This interaction creates rotational motion. As the current running through the electromagnet's coil changes direction, it causes the motor's shaft to turn, converting electrical energy into mechanical energy.
  • MRI (Magnetic Resonance Imaging):
    • The strong magnetic field produced by the electromagnet aligns the protons in the body's water molecules.
    • When a radio frequency pulse is applied, these protons are knocked out of alignment. As they realign with the magnetic field, they emit signals that are detected and used to build detailed images of the body's internal structures.
  • Electric Bell:
    • In an electric bell, when the switch is pressed, an electric current flows through the electromagnet, magnetizing it.
    • The electromagnet attracts a metal armature attached to a hammer, which then hits the bell producing a sound.
    • As the armature moves, it breaks the circuit, deactivating the electromagnet and causing the armature to return to its initial position due to a spring. This action repeatedly opens and closes the circuit, continuously striking the bell until the switch is released.


Each of these examples demonstrates the versatility and effectiveness of electromagnets in various technological applications, leveraging the basic principle of electromagnetism to perform useful work.

Additional InformationSoft iron is generally used for making electromagnets because it has high magnetic permeability, i.e. it can easily gain magnetic properties when current is passed around the core and quickly lose when current is stopped.

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