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Behaviour of substances in magnetic field - class-XII

Description: behaviour of substances in magnetic field
Number of Questions: 35
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Tags: physics magnetic effects of current and magnetism magnetism and matter magnetism
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Mark the correct set of ferromagnetic substances,

  1. iron, cobalt and nickel

  2. iron, copper and lead

  3. silicon, bismuth and nickel

  4. aluminium, sodium and copper.


Correct Option: A
Explanation:

Iron, cobalt and nickel are the examples of ferromagnetic material.

Nickel shows ferromagnetic property at room temperature. If the temperature is increased beyond Curie temperature, then it will show the

  1. anti ferromagnetism

  2. no magnetic property

  3. diamagnetism

  4. paramagnetism


Correct Option: D
Explanation:

Above Curie temperature, ferromagnetic material become paramagnetic.

Assertion : When diamagnetic material is placed in a non-uniform magnetic field, it tends to move from stronger to the weaker part of the magnetic field.
Reason : Diamagnetic materials possess strong magnetism.

  1. If both assertion and reason are true and reason is the correct explanation of assertion.

  2. If both assertion and reason are true and reason is not the correct explanation of assertion.

  3. If assertion is true but reason is false.

  4. If both assertion and reason are false.


Correct Option: C
Explanation:

Electrons is an atom orbiting around nucleus possess orbital angular momentum. These orbiting electrons are equivalent to current-carrying loop and thus possess orbital magnetic moment. Diamagnetic substances are the ones in which resultant magnetic moment in an atom is zero. When magnetic field is applied, those electrons having orbital magnetic moment in the same direction slow down and those in the opposite direction speed up. Thus, the substance develops a net magnetic moment in direction opposite to that of the applied field.

Assertion : At high temperature, a ferromagnet becomes a paramagnet.
Reason : The ferromagnetic property depends on temperature.

  1. If both assertion and reason are true and reason is the correct explanation of assertion.

  2. If both assertion and reason are true and reason is not the correct explanation of assertion.

  3. If assertion is true but reason is false.

  4. If both assertion and reason are false.


Correct Option: A
Explanation:

At enough high temperature, a ferromagnet become a paramagnet. The domain structure disintegrates with temperature.

Assertion : The product of magnetic susceptibility and absolute temperature for a paramagnetic substance is constant.
Reason : Susceptibility is positive but very small for paramagnetic substance.

  1. If both assertion and reason are true and reason is the correct explanation of assertion.

  2. If both assertion and reason are true and reason is not the correct explanation of assertion.

  3. If assertion is true but reason is false.

  4. If both assertion and reason are false


Correct Option: B
Explanation:

The susceptibility of a paramagnetic substance is inversely proportional to absolute temperature.
$X \propto \frac{1}{T}$
Hence $XT = constant$
Also for paramagnetic substances the susceptibility is positive and very small.

If a magnetic material is having magnetic susceptibility $(\chi)=-1$, then the relative magnetic permeability $(\mu _r)$ and type of magnetic material is?

  1. $0$, diamagnetic

  2. $2$, ferromagnetic

  3. $1$, paramagnetic

  4. $-1$, diamagnetic


Correct Option: A
Explanation:

Here, $\chi =-1$
then $\mu _r=1+\chi \Rightarrow \mu _r=1+(-1)=I-1=0$
Since, magnetic susceptibility of given material is less than one. Hence, the given magnetic material is a diamagnetic material.

A domain in ferromagnetic iron is in the form of a cube of side length $2$ $\mu m$ then the number of iron atoms in the domain are (Molecular mass of iron $=55$g $mol^{-1}$ and density $=7.92$g $cm^{-3}$)

  1. $6.92\times 10^{12}$ atoms

  2. $6.92\times 10^{11}$ atoms

  3. $6.92\times 10^{10}$ atoms

  4. $6.92\times 10^{13}$ atoms


Correct Option: B
Explanation:

The volume of the cubic domain
$V=(2\mu m)^3=(2\times 10^{-6}m)^3$
$=8\times 10^{-18}m^3=8\times 10^{-12}cm^3$
and mass $=$volume $\times$ density
$=8\times 10^{-12}cm^3\times 7.9g cm^{-3}$
$=63.2\times 10^{-12}$g
Now the Avagadro number $(6.023\times 10^{23})$ of iron atoms have a mass of $55$g. Hence the number of atoms in the domain are.
$N=\dfrac{63.2\times 10^{-12}\times 6.023\times 10^{23}}{55}=6.92\times 10^{11}$ atoms.

Which of the following is true regarding dimagnetic substances (symbols have their usual meaning)?

  1. ${ \mu } _{ r }>1,{ \chi } _{ m }>1$

  2. ${ \mu } _{ r }>1,{ \chi } _{ m }<1$

  3. ${ \mu } _{ r }<1,{ \chi } _{ m }<0$

  4. ${ \mu } _{ r }<1,{ \chi } _{ m }>0$


Correct Option: C
Explanation:

Diamagnetic substances induce magnetic field in the direction opposite to an external applied magnetic field and thus are repelled by external applied magnetic field.

Magnetic susceptibility of these substances is very small and negative    i.e    $\chi _m  < 0$ 
For example:
For silicon, $\chi _m =  -4.2 \times 10^{-6}$
From the equation, $\mu _r = 1+ \chi _m$
Thus, $\chi _m<0$ $\implies  \mu _r  <1$    
Hence, such materials have magnetic permeability less than unity.

Susceptibility is small and negative for

  1. para magnetic

  2. diamagnetic

  3. ferro magnetic

  4. electromagnetic


Correct Option: B
Explanation:

diamagnetic
$-1 \leq x < 0$
$\chi =susceptibility$

Susceptibility is small and positive for

  1. para magnetic only

  2. diamagnetic only

  3. ferro magnetic only

  4. Both 1 & 3


Correct Option: A
Explanation:

Paramagnetic material $0< \chi < \varepsilon $
$\varepsilon $ it small, positive and less than one.
$\chi $ is suscepticity

Susceptibility is large and positive for

  1. para magnetic

  2. diamagnetic

  3. ferro magnetic

  4. electromagnetic


Correct Option: C
Explanation:

Diamagnetic          Paramagnetic             ferromagnetic
-1 $\leq$ $\chi$ < 0            0 < $\chi$ < $\varepsilon$                 $\chi$ >>1
$\chi $$=$magnetic susceptibility

The core of electromagnet is made of soft iron, because
a) susceptibility of soft iron is very high
b) coercivity of soft iron is very low

  1. only a is correct

  2. only b is correct

  3. both a and b are correct

  4. both a and b are wrong


Correct Option: C
Explanation:
Because the suceptibility of the soft iron is very high. and its coercivity is very low,it is very less corrosive. 
$\chi$ >> 1 (Because it is a ferromagnetic substance.)

The value of susceptibility for super conductor is

  1. 0

  2. $\infty $

  3. +1

  4. -1


Correct Option: D
Explanation:

-1, Because superconductor are perfect diamagnetic substances.

Susceptibility is positive and large for a

  1. paramagnetic substance

  2. ferromagntic substance

  3. diamagnetic substance

  4. non magnetic substance


Correct Option: B
Explanation:

For ferromagnetic substances, $\chi _m$ is large and positive.

A superconductor exhibits perfect:

  1. ferrimagnetism

  2. ferromagnetis

  3. paramagnetism

  4. diamagnetism


Correct Option: D
Explanation:

A superconductor exhibits perfect diamagnetism.

The magnetic materials having negative magnetic susceptibility are

  1. non-magnetic

  2. para magnetic

  3. dia magnetic

  4. ferro magnetic


Correct Option: C
Explanation:

Magnetic susceptibility is a dimensionless proportionality constant that indicates the degree of magnetisation of a material in response to an applied magnetic field.

Substances such as copper, iron have negative susceptibility as these substances are diamagnetic substances.
Substances with negative susceptibility signifies that they are repelled by magnets.

Which of the following group is diamagnetic?

  1. Copper, hydrogen, silver

  2. Copper, hydrogen, argon

  3. Hydrogen, oxygen, argon

  4. Copper, silver, oxygen


Correct Option: A
Explanation:

Diamagnetic substances are those which are freebly repelled by the magnetic field.
$\therefore$ Copper, Hydrogen, Silver are diamagnetic as their atoms have net magnetic dipole moment zero.

The inherent property of all materials is

  1. Diamagnetism

  2. Paramagnetism

  3. Ferromagnetism

  4. Both a and b


Correct Option: A
Explanation:

Diamagnetism (where orbital motion of electrons creates tiny atomic current loops, which produce magnetic fields) is a property of all materials and opposes applied magnetic fields, but is very weak.

A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, then the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains gravitational potential energy. The work required to do this comes from.

  1. The lattice structure of the material of the rod

  2. The current source

  3. The induced electric field due to the changing magnetic field

  4. The magnetic field


Correct Option: B
Explanation:

Here when electromagnet is connected to battery, emf source the magnetic field is produced which pushes rod upwards and so gravitational potential energy is stored.

This stored energy will require work which will come from current source or battery which is connected to electromagnet.
So option 2 is correct answer

A paramagnet magnet behaves like a solenoid because both contain currents in the form of

  1. Circles

  2. Parabola

  3. Straight line

  4. Ellipse


Correct Option: A
Explanation:

A paramagnet magnet behaves like a solenoid because both contain currents in the form of circle. The magnetic field is generated by the circular motion of the electron inside the atom.

Domain formation is the necessary features of

  1. Diamagnetism

  2. Paramagnetism

  3. Ferromagnetism

  4. All of these


Correct Option: C
Explanation:

Ferromagnetism materials exhibit a long range ordering phenomenon at the atomic level which causes the unpaired electron spins to line up parallel with each other in a region called domain. Within the domain, the magnetic field is intense, but in a bulk sample the material will usually be unmagnetised because the many domains will themselves be randomly oriented with respect to one another. Hence, domain formation is the necessary feature of ferromagnetic substance.

If a solution of ferromagnetic material is poured into a U-tube and one arm of this is placed between the poles of a strong magnet with the meniscus in line with the field, then the level of the solution will:

  1. Rise

  2. Fall

  3. Rise till the liquid comes out

  4. Remain unchanged


Correct Option: A

The susceptibility of a diamagnetic material is

  1. directly proportional to $T$

  2. inversely proportional to $T $

  3. independent of $\mathrm { T } $

  4. inversely proportional to $\mathrm { T } ^ { 2 }$


Correct Option: B

The value of magnetic susceptibility for para-magnetic substance is  

  1. infinity

  2. low positive

  3. low negative

  4. zero


Correct Option: B
Explanation:

Paramagnetic substance gets feebly magnetised in the direction of field and therefore, $I$ is very small and positive for paramagntic substances.
We know $X _m=I/H$
Therefore,$X _m$ is also very small and positive.

Relative permittivity and permeability of a material are $\varepsilon _{r}$ and $\mu _{r}$ respectively. The values of these quantities allowed for a diamagnetic material are

  1. $\varepsilon _{r}=0.5,\mu _{r}=1.5$

  2. $\varepsilon _{r}=1.5,\mu _{r}=0.5$

  3. $\varepsilon _{r}=0.5,\mu _{r}=0.5$

  4. $\varepsilon _{r}=1.5,\mu _{r}=1.5$


Correct Option: B
Explanation:

For diamagnetic material
$0\leq \mu _{r}< 1$
And for any material, $ \varepsilon _{r}> 1$

So, option B.

Magnetism is a property present in ___________.

  1. Only a few materials

  2. Only ferromagnetic material

  3. Only paramagnetic material

  4. All materials


Correct Option: D
Explanation:

Magnetization is present in all materials. It is a class of physical phenomenon that is mediated by Magnetic fields.

The magnetic state of different materials depends on temperature and other variables such as pressure and applied magnetic field.

 

Relative permittivity and permeability of a material are $\epsilon _{\mathrm{r}}$ and $\mu _{\mathrm{r}}$, respectively. Which of the following values of these quantifies are allowed for a diamagnetic material? 

  1. $\epsilon _{\mathrm{r}}=0.5,\ \mu _{\mathrm{r}}=0.5$

  2. $\epsilon _{\mathrm{r}}=1.5,\ \mu _{\mathrm{r}}=1.5$

  3. $\epsilon _{\mathrm{r}}=0.5,\ \mu _{\mathrm{r}}=1.5$

  4. $\epsilon _{\mathrm{r}}=1.5,\ \mu _{\mathrm{r}}=0.5$


Correct Option: D
Explanation:

For a diamagnetic material, $\mu _r$ and $\epsilon _r$ should have following bounds $0<\mu _r <1$ and for any material $\epsilon _r >1$

Needles $N _{1}, N _{2}$ and $N _{3}$ are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will 

  1. attract all three of them.

  2. attract $\mathrm{N} _{1}$ and $\mathrm{N} _{2}$ strongly but repel $\mathrm{N} _{3}$. 

  3. attract $\mathrm{N} _{1}$ strongly, $\mathrm{N} _{2}$ weakly and repel $\mathrm{N} _{3}$ weakly.

  4. attract $\mathrm{N} _{1}$ strongly, but repel $\mathrm{N} _{2}$ and $\mathrm{N} _{3}$ weakly.


Correct Option: C
Explanation:

Ferromagnetic substances are strongly attracted by a magnet while, paramagnetic and diamaganetic substances are weakly attracted and repelled respectively.

Curie temperature is the temperature above which 

  1. a ferromagnetic material becomes paramagnetic

  2. a paramagnetic material becomes diamagnetic

  3. a ferromagnetic material becomes diamagnetic

  4. a paramagnetic material becomes ferromagnetic.


Correct Option: A
Explanation:

The Curie temperature is the temperature above which ferromagnetic materials lose their permanent magnetic field, the magnetism completely disappears. Above Curie temperature, the material behaves para-magnetically.

A ferromagnetic material is placed in an external magnetic field. The magnetic domains 

  1. Increase in size

  2. Decrease in size

  3. May increase or decrease is size

  4. Have no relation with the field


Correct Option: A

The magnetic susceptibility is negative for

  1. Paramagnetic materials only

  2. Diamagnetic material only

  3. Ferromagnetic materials only

  4. paramagnetic and ferromagnetic materials


Correct Option: B

Which of the following species is para-magnetic

  1. A carbonium ion

  2. A free radical

  3. A carbonium

  4. All of these


Correct Option: A

The relative permeability of silicon is $0.99837$ and that of palladium is $1.00692$, choose the correct option from the following :

  1. silicon is paramagnetic and palladium is ferromagnetic

  2. silicon is ferromagnetic and palladium is paramagnetic

  3. silicon is diamagnetic and palladium is paramagnetic

  4. Both are paramagnetic


Correct Option: C
Explanation:

Diamagnetic           Paramagnetic             Ferromagnetic
-1 $\leq$ $\chi$ < 0                  0 < $\chi$ < $\varepsilon$                  $\chi$ >> 1
0 $\leq$ $\mu _{r}$ < 1                1 < $\mu _{r}$ < 1+ $\varepsilon$               $\mu _{r}$ >> 1
$\chi$ $=$ magnetic susceptibility
$\mu _{r}$ $=$ relative permeability.
$\varepsilon$ < 1 and small.

The relative permeability of a material is $0.9$. The material is

  1. diamagnetic

  2. para magnetic

  3. ferro magnetic

  4. non-magnetic


Correct Option: A
Explanation:

diamagnetic material
$-1\leq \chi < 0$
0 $\leq$ $\mu$ < 1
$\chi$ $=$ Magnetic susceptibility
$\mu$ $=$ permeability

The susceptibility of a diamagnetic substance is

  1. $\infty $

  2. zero

  3. small but negative

  4. small but positive


Correct Option: C
Explanation:

Diamagnetic sultance
-1 $\leq$ $\chi < 0$ 
$\theta =\mu < 1$
$\chi =susceptibility$

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