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Electrical and magnetic properties of solids - class-XI

Description: electrical and magnetic properties of solids
Number of Questions: 47
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Tags: chemical bonding and molecular structure the solid state chemistry solid state
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Doping of $As$ with $Si$ is called :

  1. n-type semi-condutor

  2. p-type semi-conductor

  3. intrinsic semi-conductor

  4. None of the above


Correct Option: A
Explanation:

$As$ is a member of group $V$ and has 5 electrons in its outermost shell. 


When $Si$ is doped with group $V$ elements such as $As$ then, $Si$ forms four bonds with $As$ and one extra electron is left free for conduction. 

Since the conduction is due to the presence of free electrons, therefore, it is known as n-type semiconductor.

Therefore, the option is A.

An n-type semi-conductor is formed when a trace amount of impurity is added to silicon. The number of valence electrons in the impurity atom must be: 

  1. $3$

  2. $5$

  3. $1$

  4. $2$


Correct Option: A
Explanation:

An n-type semiconductor is due to the presence of a free electron in the semiconductor. Since silicon is an element having $4$ valence electrons, in order to have a free electron, it must be doped with an element having one more valence electron than silicon. 


Hence the number of valence electron in the impurity must be $4+1=5.$

Therefore, option B is correct.

Which of the following statements is correct about the conduction of electricity in pure crystal of silicon at room temperature?

  1. The conduction is due to electrons present in fully occupied lowest energy states.

  2. The conduction is due to only some electrons capable of leaving the bonds at room temperature.

  3. The conduction is only due to the holes formed from the release of electrons.

  4. The conduction is due to the movement of both the electrons released and holes formed.


Correct Option: D
Explanation:

In semiconductor two types of the semiconductor are present. They are an intrinsic and extrinsic semiconductor. A pure silicon crystal is an example of an intrinsic semiconductor. 

The conduction in the intrinsic semiconductor is due to the moving of electrons from valence bond to conduction bond by means of thermal energy. Due to the thermal energy the $Si-Si$ bond breaks and creates electron deficiency which is also called a hole. So, both the holes and electrons released to account for the conduction of electricity.

p type semi conductor is formed when trace amount of impurity is added to silicon. The number of valence electrons in the impurity atom must be:

  1. $3$

  2. $5$

  3. $1$

  4. $2$


Correct Option: A
Explanation:

To form a p-type semiconductor, one must add elements from boron family to the silicon atom.

Boron family has 3 valance electrons so, number of valance electrons in the impurity atom must be 3.

Solar cell is constructed by connecting the semi conductors of_____________

  1. n-type and n-tupe

  2. n-type and p-type

  3. p-type and p-type

  4. n-type and n-pn-type


Correct Option: A

A semiconductor obtained by doping silicon with elements of group 13 and group is respectively is

  1. P - type

  2. n - type

  3. p type, n type

  4. n type, p type.


Correct Option: A

Which of the following acts as a superconductor at $4K$?

  1. $He$

  2. $Cu$

  3. $K$

  4. $Mg$


Correct Option: A

Addition of arsenic in small amount to pure germanium will result in the formation of

  1. n-type semiconductor

  2. germanium arsenide

  3. p-type semiconductor

  4. a superconducting alloy


Correct Option: A

To get n-type doped semiconductor, impurity to be added to silicon should have number of valence electrons equal to: 

  1. $1$

  2. $2$

  3. $3$

  4. $5$


Correct Option: D
Explanation:

To get n-type doped semiconductor, pentavalent impurity should be added to silicon. Example- As in Si.

A solid with high electrical and thermal conductivity is:

  1. $Si$

  2. $Li$

  3. $NaCl$

  4. $Ice$


Correct Option: B

If we mix a pentavalent impurity in a crystal lattice of germanium, what type of semiconductor formation will occur? 

  1. p-type

  2. n-type

  3. Both A and B

  4. None of the the above


Correct Option: B
Explanation:

Silicon and germanium belong to group 14 of the periodic table and have four valence electrons each. In their crystals each atom forms four covalent bonds with its neighbours. When doped with a group 15 element like P or As, which contains five valence electrons, they occupy some of the lattice sites in silicon or germanium crystal. Four out of five electrons are used in the formation of four covalent bonds with the four neighbouring silicon atoms. The fifth electron is extra and becomes delocalised.These delocalised electrons increase the conductivity of doped silicon(or germanium). Here the increase in conductivity is due to the negatively charged electron, hence silicon doped with electron-rich impurity is called n-type semiconductor.

Select the correct statement.

  1. LiF and MgO are isostructural and also isodimensional, but a crystal of MgO is much harder than one of LiF.

  2. The thermal stability of the isomorphous sulphates of $Ca^{2+}, Sr^{2+}$ and $Ba^{2+}$ w.r.t. decomposition into metal oxide and sulphur trioxide increases in the order $CaSO _4, SrSO _4, BaSO _4$.

  3. Both (a) and (b)

  4. None of above


Correct Option: C
Explanation:

LiF and MgO are isostructural and also isodimensional, but a crystal of MgO is much harder than one of LiF because of electronic repulsions in the small sized LiF.
Thermal stability of group 2 sulphates increases down the group. Hence, $CaSO _4 < SrSO _4 < BaSO _4$.

A semiconductor of Ge can be made p-type by adding which impurity?

  1. trivalent impurity

  2. tetravalent impurity

  3. pentavalent impurity

  4. hexavalent impurity


Correct Option: A
Explanation:

A semiconductor of Ge can be made p-type by adding trivalent impurity and for n-type SC pentavalent impurity is dopped.

Assertion (A): Group-$13$ doped crystals of silicon are called a p-type semiconductors.
Reason (R): Holes (positive in charge) appear to be responsible for the semiconducting properties.
  1. Both Assertion and Reason are true and Reason is the correct explanation of Assertion

  2. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion

  3. Assertion is true but Reason is false.

  4. Assertion is false but Reason is true


Correct Option: A

Which of the following statement is correct?

  1. Silicon doped with Boron is a n-type semi conductor.

  2. Silicon doped with Arsenic is a p-type semiconductor.

  3. Semiconductors are good conductors of electricity.

  4. Electrical conductivity of semiconductors increases with increasing temperature.


Correct Option: D
Explanation:
The electrical conductivity of a semiconductor increases exponentially with an increase in temperature because as temperature is increased, more electrons get energy and can jump to the conduction band which increases conductivity.
$\sigma=Ce^{\displaystyle {-E _g} /{2KT}}$

Assertion: Group-$15$ doped crystals of silicon are called an n-type semiconductor.


Reason: Neutrons are responsible for the semiconducting properties.

  1. Both Assertion and Reason are true and Reason is the correct explanation of Assertion

  2. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion

  3. The Assertion is true but Reason is false

  4. The Assertion is false but Reason is true


Correct Option: C
Explanation:

Group-15 doped crystals of silicon are called a n-type semiconductors because of the presence of a valence electron and electrons are responsible for the semiconducting properties.

The density for simple cubic lattice is :


[where A is atomic weight, N is the Avogadro number and a is lattice parameter]

  1. $\displaystyle \frac{4A}{Na^3}$

  2. $\displaystyle \frac{2A}{Na^3}$

  3. $\displaystyle \frac{A}{Na^3}$

  4. $\displaystyle \frac{A}{Na^2}$


Correct Option: C
Explanation:

Density = $\displaystyle \frac{\text{Mass of atom in unit cell}}{{\text{Total volume of unit cell}}} = \cfrac{nM}{V _cN _A} $


For simple cubic lattice, 

$n = 1  \\   V _c = a^3  \\$

$Given,  M = A$

$= \cfrac{A}{Na^3}$

Statement: The melting point of ice changes markedly with pressure.

State whether the given statement is true or false.
  1. True

  2. False


Correct Option: A
Explanation:

The melting point of ice is $0^oC$ $(32\ F,\ 273.15\ K)$ at standard pressure. A significant increase of pressure is required to lower the melting point of ordinary ice. The pressure exerted by an ice skater on the ice only reduces the melting point by approximately $0.09^oC$ $(0.16\ F)$.

Glass is an example of _____ solids.

  1. amorphous

  2. shaped

  3. structured 

  4. determinate


Correct Option: A
Explanation:

Glass is a non-crystalline, often transparent amorphous solid, that has widespread practical, technological, and decorative uses in, for example, window panes, tableware, optics, and optoelectronics.


Hence, the correct option is $\text{A}$

Statement: In an insulator, the band gap is small.

State whether the given statement is true or false.
  1. True

  2. False


Correct Option: B
Explanation:

In an insulator, the bandgap is large. More energy is required to promote electrons from valence band to conduction band. This energy is not available. The electrons remain in the valence band and cannot move freely. Hence, insulators are bad conductors of heat and electricity.


Hence, the given statement is $\text{false}$

Frenkel defect is observed in:

  1. $MgCl _2$

  2. $AgCl$

  3. $ZnS$

  4. $AgI$


Correct Option: B,C,D
Explanation:

Frenkel defect is the defect which is created when an ion leaves its appropriate site in the lattice and occupies an interstitial site. A hole or vacancy is thus produced in the lattice.


Frenkel defect is exhibited in ionic compounds in which the radius ratio is low. The cations and anions differ much in their sizes and the ions have low co-ordination numbers. Examples are ZnS, AgBr, AgI, AgCl.

Assertion: The electrical conductivity of a semiconductor increases with increase in temperature.
Reason: With increase in temperature, large number of electrons from the valence band can jump to the conduction band.
  1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

  3. Assertion is correct but Reason is incorrect

  4. Assertion is incorrect but Reason is correct

  5. Both Assertion and Reason are incorrect


Correct Option: A
Explanation:
As temperature increases, some electrons are thermally released from the covalent bonds in pure Si or Ge. 
These electrons are free to move in the crystal and are responsible for electrical conductivity.
With an increase in temperature, the number of electrons released increases and the electrical conductivity increases.
This type of conduction is called intrinsic conduction.
Hence, both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

The electrical resistivity of a semiconductor:

  1. increases with temperature

  2. decreases with temperature

  3. increases at low temperature and then decreases

  4. does not change with temperature


Correct Option: B
Explanation:

As the temperature increase the electrons in the valence band get excited and jump into the conduction band and hence the conductance increases and conductance is inversely proportional to resistivity. Hence, resistivity decreases.

Which of the following, when doped into ultrapure germanium, will convert it into a p-type semiconductor?

  1. $C$

  2. $As$

  3. $In$

  4. $Na$


Correct Option: C
Explanation:

When a pure semiconductor is doped with trivalent elemental impurity $p$ type semiconductors are formed

(A) $C\longrightarrow Tetravalent$
(B) $As\longrightarrow Pentavalent$
(C) $Indium$ $(In)\longrightarrow$ $Trivalent$
(D) $Na\longrightarrow$ $Monovalent$
Thus Indium ($In$) will convert ultrapure germanium into p-type semiconductor.

Mercury becomes superconducting at _________.

  1. 0 K

  2. 4 K

  3. 40 K

  4. 273 K


Correct Option: B
Explanation:

Super conductors are the substance which provide the conductivity of electricity at different temperatures. Mercury becomes superconducting at 4 K.

Superconductivity may be defined as a phenomenon in which metals, alloys and chemical compounds become perfect conductors with zero resistivity at temperatures approaching __________.

  1. room temperature

  2. zero temperature

  3. absolute zero

  4. all of these


Correct Option: C
Explanation:

Superconductivity may be defined as a phenomenon in which metals, alloys and chemical compounds become perfect conductors with zero resistivity at temperatures approaching absolute zero.

For most metals, the transition temperature lies between _________.

  1. 2 and 5 K

  2. 20 and 50 K

  3. 200 and 250 K

  4. Above 273K


Correct Option: A
Explanation:

For most metals, the transition temperature lies between 2 and 5 K. The temperature at which a substance starts behaving as super-conductor is called transition temperature.

Which of the following represent(s) true statement(s)?

  1. The electrical resistance of metal does not depends upon temperature.

  2. Electrical resistance increases with decrease in temperature.

  3. The electrical resistance becomes almost zero near the absolute temperature.

  4. All of the above


Correct Option: C
Explanation:

The following represents true statements. The electrical resistance of metal depends upon temperature. Electrical resistance decreases with decrease in temperature. The electrical resistance becomes almost zero near the absolute temperature.

The temperature at which a substance starts behaving as super-conductor is called _________.

  1. normal temperature

  2. transition temperature

  3. regular temperature

  4. all of these


Correct Option: B
Explanation:

The temperature at which a substance starts behaving as super-conductor is called transition temperature. For most metals, the transition temperature lies between 2 and 5 K.

superconductors are _________.

  1. paramagnetic

  2. diamgnetic

  3. both a and b

  4. none of these


Correct Option: B
Explanation:

Superconductors are diamagnetic.

The highest temperature at which superconductivity has been observed for alloys of niobium $(Nb 3Ge)$ is _______.

  1. 4 K

  2. 10 K

  3. 23 K

  4. 47 K


Correct Option: C
Explanation:

The highest temperature at which superconductivity has been observed is 23 K for alloys of niobium $(Nb _3Ge)$.

In a n-type semiconductor, which of the following statements is true?

  1. Electrons are majority carriers and trivalent atoms are dopants.

  2. Electrons are minority carriers and pentavalent atoms are dopants.

  3. Holes are minority carriers and pentavalent atoms are dopants.

  4. Holes are majority carriers and trivalent atoms are dopants.


Correct Option: C
Explanation:

The n-type semiconductor can be produced  by doping impurity atoms of valence 5 i.e, pentavalent atoms like phosphorous and so electrons are majority charge carriers and Holes are minority charge carriers.

So correct answer is option C.

$Tl 2Ca _2Ba _2Cu _3O _{10}$ possess superconductivity at __________.

  1. 90 K

  2. 105 K

  3. 125 K

  4. 155 K


Correct Option: C
Explanation:

$Tl _2Ca _2Ba _2Cu _3O _{10}$ possess superconductivity at 125 K.

Superconductors have applications in __________.

  1. electronics

  2. building magnets

  3. aviation

  4. power transmission


Correct Option: A,B,C,D
Explanation:

Superconductors have applications in electronics, building magnets, aviation, transportation (trains which move in air without rails) and power transmission.

With which one of the following elements silicon should be doped so as to give p-type of semiconductor?

  1. Selenium

  2. Boron

  3. Germanium

  4. Arsenic


Correct Option: B
Explanation:

The n-type semiconductors are obtained when $Si$ or $Ge$ are doped with elements of group 15, eg, Arsenic $(As)$, while p-type semiconductors are obtained when $Si$ or $Ge$ are doped with traces of group 13 , ie Indium $(In)$ , Boron $(B)$.

So the correct option is $B$.

Which of the following statement is true about semiconductors?

  1. Impurity of lower group creates $n-$type semiconductors

  2. Impurity of higher group creates $p-$type semiconductors

  3. extrinsic semiconductors are formed by doping impurity

  4. Intrinsic semiconductors become conductors when temperature is raised


Correct Option: C
Explanation:

An extrinsic semiconductor is one that has been doped; during manufacture of the semiconductor crystal a trace element or chemical called a doping agent has been incorporated chemically into the crystal, for the purpose of giving it different electrical properties than the pure semiconductor crystal.

So, option $C$ is correct.

Which of the following is true about the charge acquired by $p-$type semiconductors?

  1. Positive

  2. Neutral

  3. Negative

  4. Depends on concentration of $p$ impurity


Correct Option: B
Explanation:

$p-$type semiconductors have a larger hole concentration than electron concentration. In p-type semiconductors, holes are the majority carriers and electrons are the minority carriers. $p-$type semiconductors are created by doping an intrinsic semiconductor with acceptor impurities. A common $p-$type dopant for silicon is boron or gallium. There will be no charge on the semiconductor.

So, correct answer is option $B$.

Which of the following oxides behaves as conductor or insulator depending upon temperature?

  1. $TiO$

  2. $SiO _2$

  3. $TiO _3$

  4. $MgO$


Correct Option: C
Explanation:

$TiO _{ 3 }$ behaves as conductor or insulator depending on temperature because of variation of energy gap between valence band and conduction band with the variation of temperature.

So, correct answer is option $C$. 

To get a $n-$type semiconductor from silicon, it should be doped with a substance with valence _______.

  1. 2

  2. 1

  3. 3

  4. 5


Correct Option: D
Explanation:

An $n-$type semiconductor is made by adding a small amount of a Group-V element such as phosphorous ($P$) or arsenic ($As$) to the intrinsic semiconductor. Group-V elements have five valence electrons per atom.

So, correct answer is option $D$.

Statement-I  The conductance through electrons is called n-type conduction and if through positive semi holes it is called p-type conduction.

Statement-II  Doping involves the preparation of semiconductor by the addition of impurities in the intrinsic semiconductor.

  1. Statement-I is correct but Statement-II is wrong

  2. Statement-I is wrong but Statement-II is correct

  3. Both Statement-I and Statement-II are correct and Statement-II is correct explanation of Statement-I

  4. Both Statement-I and Statement-II are correct but Statement-II is not correct explanation of Statement-I


Correct Option: D
Explanation:

The conductance through electrons is called n-type conduction and if through positive semiholes, it is called p-type conduction.
Doping involves preparation of semi-conductors by the presence of impurities in the intrinsic semiconductor.With donor impurities, we get n-type semi-conductors and with acceptor impurities, we get p-type semi-conductors.

Thus, the explanation provided was inadequate.

Select the correct statement(s).

  1. The conductance through electrons is called p-type conduction.

  2. The conductance through positive holes is called p-type conduction.

  3. The conductance through electrons is called n-type conduction.

  4. The band gap in germanium is small.


Correct Option: B,C,D
Explanation:

The addition of small amount of foreign impurity in the host crystal is called as doping. It results in an increase in the electrical conductivity of the crystal. Doping of group 14 elements (such as Si, Ge etc.) with elements of group 15 (such as As) produces an excess of electrons in the crystals and thus, gives n-type semiconductors. Doping of groups 14 elements with group 13 elements (such as Indium) produces holes (electron deficiency) in the crystals. Thus, p-type semiconductors are produced. The symbol 'p' indicates flow of positive charge. Also, the band gap in germanium is small as Ge is a semi-conductor.

Assertion

Group-$15$ doped crystals of Si are called n-type semiconductors.
Reason: 
Neutrons are responsible for the semiconducting properties.

  1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

  3. Assertion is correct but Reason is incorrect

  4. Assertion is incorrect but Reason is correct

  5. Both Assertion and Reason are incorrect


Correct Option: C
Explanation:

The addition of a small amount of foreign impurity in the host crystal is called doping. 

It increases the electrical conductivity of the crystal. Doping of group 14 elements (such as Si, Ge, etc.) with elements of group 15 (such as As) produces an excess of electrons in the crystals, thus, giving n-type semiconductors. 
Doping of groups 14 elements with group 13 elements (such as Indium) produces holes (electron deficiency) in the crystals. Thus, p-type semiconductors are produced. The symbol 'p' indicates the flow of positive charge.

Thus, Assertion is correct but Reason is incorrect

Hence, the correct option is $\text{C}$

Assertion: Group-$13$ doped crystals of Si are called p-type semiconductors.
Reason: Positive holes are responsible for the semiconducting properties.

  1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

  3. Assertion is correct but Reason is not correct

  4. Assertion is not correct but Reason is correct

  5. Both Assertion and Reason are incorrect


Correct Option: A
Explanation:

The addition of small amount of foreign impurity in the host crystal is called as doping. It results in an increase in the electrical conductivity of the crystal. Doping of group 14 elements (such as Si, Ge etc.) with elements of group 15 (such as As) produces an excess of electrons in the crystals, thus, giving n-type semiconductors. Doping of groups 14 elements with group 13 elements (such as Indium) produces holes (electron deficiency) in the crystals. Thus, p-type semiconductors are produced. The symbol 'p' indicates flow of positive charge. Positive holes are responsible for the semiconducting properties like conduction.

Select the correct statement(s).

  1. The non-stoichiometric form of $NaCl$ is yellow and that of $KCl$ is blue-lilac.

  2. Solids containing F-centers (Farbe) are paramagnetic.

  3. Non-stoichiometric compounds are called Berthollide compounds.

  4. Conduction by electrons is called n-type semiconductors.


Correct Option: A,B,C,D
Explanation:

A compound may have excess metal ion if an anion (negative ion) is absent from its appropriate lattice site creating a 'void' which is occupied by an electron. The ionic crystal which is likely to possess Schottky defect may also develop this type of metal excess defect. When alkali metal halides are heated in an atmosphere of vapours of the alkali metal, anion vacancies are created. The anions (halide ions) diffuse to the surface of the crystal from their appropriate lattice sites to combine with the newly generated metal cations. The electron lost by the metal atom diffuse through the crystal is known as F-centres. The main consequence of a metal excess defect in the development of colour in the crystal. For example, when NaCl crystal is heated in an atmosphere of Na vapours, it becomes yellow. Similarly, KCI crystal when heated in an atmosphere of potassium vapours, it appears violet.
The addition of a small amount of foreign impurity in the host crystal is called doping. It increases the electrical conductivity of the crystal. Doping of group 14 elements (such as Si, Ge etc.) with elements of group 15 (such as As) produces an excess of electrons in the crystals, thus, giving n-types semiconductors. Doping of groups 14 elements with group 13 elements (such as Indium) produces holes (electron deficiency) in the crystals. Thus, p-type semiconductors are produced. Then symbol 'p' indicates the flow of positive charge.
Paramagnetic (weakly magnetic): Such materials contain permanent magnetic dipoles due to the presence of atoms, ion or molecules with unpaired electrons.
Due to unpair electron of F-centers, solids containing F-centers (Farbe) are paramagnetic.


Hence, the correct options are $\text{A}$, $\text{B}$, $\text{C}$ and $\text{D}$

Very fast conduction of electricity by matter is called superconductivity. This happens when the matter is:

  1. dissolved in acids

  2. cooled to very low temperatures

  3. heated to high temperatures

  4. treated with radiation


Correct Option: B
Explanation:

We know that resistance of a conductor is directly proportional to the temperature. So, when it is cooled below a certain temperature called critical temperature, the resistance tends to drop to zero and superconductivity can be observed.

The newly discovered high-temperature superconductors are:

  1. ceramic oxides

  2. pure rare-earth metals

  3. metal alloys

  4. inorganic polymers


Correct Option: A
Explanation:

Around $1993$, the highest temperature superconducting material was known. It has been a ceramic material consisting of $Hg, Ba, Ca, Cu$ and $O$ i.e, the compound was $HgBa _2Ca _2Cu _3O _2$

Germanium is an example of:

  1. intrinsic semiconductor

  2. n-type semiconductor

  3. p-type semiconductor

  4. insulator


Correct Option: A
Explanation:

Intrinsic (pure) semiconductors are undoped semiconductors. The charge carriers i.e electrons and holes in this kind of semiconductor are equal in number. The electrical conductivity of these type of semiconductors is due to electron excitation.

Eg: $Si, \ Ge, \ etc…$

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