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Band theory of solids, a brief introduction - class-XII

Description: band theory of solids, a brief introduction
Number of Questions: 63
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Carbon, silicon and germanium have four valence electrons each. These are characterised by valence and conduction bands separated by energy band gap respectively equal to $(E _g) _C,\, (E _g) _{Si}$ and $(E _g) _{Ge}$.Which of the following statements is true?

  1. $(E _g) _{Si}\, <\, (E _g) _{Ge}\, <\, (E _g) _C$

  2. $(E _g) _{C}\, <\, (E _g) _{Ge}\, >\, (E _g) _{Si}$

  3. $(E _g) _{C}\, >\, (E _g) _{Si}\, >\, (E _g) _{Ge}$

  4. $(E _g) _{C}\, =\, (E _g) _{Si}\, =\, (E _g) _{Ge}$


Correct Option: C
Explanation:
For given elements, the energy band gap of carbon is the maximum and of germanium is the least.
Hence option C is correct.

The band gap is larger for which of the following 

  1. Conductor

  2. Insulator

  3. Semiconductor

  4. None of the above


Correct Option: B
Explanation:

In conductors, the conduction band is partially filled or overlapped with valance band.

In semiconductors, the band gap is small.
In insulators, the band gap is largest.

The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $2480\ nm$ is incident on it. The band gap in $(eV)$ for the semiconductor is.

  1. $0.5\ eV$

  2. $0.7\ eV$

  3. $1.1\ eV$

  4. $2.5\ eV$


Correct Option: A

The difference between the highest energy in a band and lowest energy in the next higher band is called the band gap between the two energy bands.

  1. True

  2. False


Correct Option: A

In extrinsic semiconductors :

  1. the conduction band and valence band overlap

  2. the gap between conduction band and valence band is near about $16\ eV$

  3. the gap between conduction band and valence band is near about $ 1\ eV$

  4. the gap between conduction band and valence band will be $100\ eV$ and more


Correct Option: C
Explanation:

In extrinsic semiconductors, formation of donor or acceptor level takes place in forbidden energy gap. Thus, some of the electrons in valance band acquire enough energy to jump to donor level or acceptor level present in forbidden energy gap. Thus, to obtain large number of electrons in conduction band some energy to be supplied to the electrons in valance band. For extrinsic semiconductors, it is nearly equal to $1\ eV$.

Among the following, the wrong statement in the case of semiconductor is:

  1. Resistivity is in between that of a conductor and insulator.

  2. Temperature coefficient of resistance is negative.

  3. Doping increases conductivity.

  4. At absolute zero temperature, it behaves like a conductor.


Correct Option: D
Explanation:

For semiconductor, as the temperature coefficient of resistance is negative, at absolute zero temperature, it behaves like an insulator.

At absolute zero, Si acts as

  1. non-metal

  2. metal

  3. insulator

  4. semiconductor


Correct Option: C
Explanation:

The semiconductor (Si) has negative temperature coefficient of resistivity. At absolute zero temperature, its resistance becomes infinite and it act like an insulator.

What is the resistivity of a pure semiconductor at absolute zero ?

  1. Zero

  2. Infinity

  3. Same as that of conductors at room temperature

  4. Same as that of insulators at room temperature


Correct Option: B
Explanation:

The electricity conductivity of a semiconductor at $0 K$ is zero. hence resistivity (= 1/electrical conductivity) is infinity.

Which one is the weakest type of bonding in solids ?

  1. Ionic

  2. Covalent

  3. Metallic

  4. Vander Wall's


Correct Option: D
Explanation:

Vander Wall's force or bonding is the weakest exists between the two molecules of the solids.

The intrinsic semi conductor becomes an insulator at

  1. $0^{\circ}C$ 

  2. $0 K$

  3. $300 K$

  4. $-100^{\circ}C$


Correct Option: B
Explanation:

At $0K (-273^{\circ}C)$ motion of free electron stop i.e., there is no electron in conduction band therefore at $0K$ intrinsic semiconductor becomes insulator.

Bands in solids are formed due to a group of closely spaced ________ .

  1. conductor bands

  2. valance bands

  3. energy levels

  4. solid bands


Correct Option: C
Explanation:

Closely space energy levels combine to form an energy band in solids. This is because, the outer orbit of an atom in solids, are common to several neighboring atoms. Therefore, energy levels corresponding to outer orbit electrons spread up to form a band of energy called energy band.

The energy gap in glass at room temperature is :

  1. greater than that in a semiconductor

  2. less than that in a good conductor

  3. greater than that in a good conductor

  4. both (A) and (C) are true


Correct Option: D
Explanation:

Glass is an insulator. The energy gap of an insulator is $\sim 6 eV$. Whereas for conductors, the energy gap is $\sim 0 eV$.
for semiconductors, energy gap $\sim 3 eV$.
So energy gap for glass is greater in conductors or a semiconductor.

A pure germanium crystal at absolute zero is :

  1. an insulator

  2. a good conductor

  3. a semiconductor

  4. none of the above


Correct Option: A
Explanation:

A pure Ge crystal at absolute zero has electrons only in the valence band. No electron in the conduction band is there. So, it acts as an insulator at 0 Kelvin.

A pure semiconductor at absolute zero has :

  1. absence of electrons in the conduction band

  2. all the electrons occupying the valence band

  3. large ${E} _{g}$ value

  4. all of the above


Correct Option: D

The band structure determines the _________ behaviour of a solid.

  1. chemical

  2. electrical

  3. mechanical

  4. molecular


Correct Option: B
Explanation:

The band structure, i.e. valence band, conduction band and forbidden energy band (Eg) tells on the basis of the energy difference between valence and conduction band, that whether the given solid is a metal, insulator or a semiconductor. If the two bands overlap, then the solid is a conductor, i.e, it has high electrical conductivity. If Eg $\sim 6$ eV; then it is an insulator and has minimum electrical conductivity otherwise if Eg $\sim 3$ eV, it is a semiconductor whose electrical conductivity lies between conductor and insulator.

In insulators (CB is conduction band and VB is valence band)

  1. VB is partially filled with electrons

  2. CB is partially filled with electrons

  3. CB is empty and VB is filled with electrons

  4. CB is filled with electrons and VB is empty


Correct Option: C
Explanation:

In insulators conduction band is empty and valence band is filled with electrons.

The energy gap in a semiconductor 

  1. Increases with temperature

  2. Does not change with temperature

  3. Decreases with temperature

  4. Is zero


Correct Option: C
Explanation:

The energy bandgap of semiconductors tends to decrease as the temperature is increased.  the interatomic spacing increases when the amplitude of the atomic vibrations increases due to the increased thermal energy. This effect is quantified by the linear expansion coefficient of a material. An increased interatomic spacing decreases the potential seen by the electrons in the material, which in turn reduces the size of the energy bandgap. A direct modulation of the interatomic distance, such as by applying high compressive (tensile) stress, also causes an increase (decrease) of the bandgap.

The variance of energy gap with temperature is given by
$E _g(T)=E _g(0)-\dfrac{\alpha T^2}{T+\beta}$

When the band gap for a semiconductor is low 

  1. conductivity of that material is low

  2. conductivity of that material is high

  3. the resistance of that material is high

  4. none of the above


Correct Option: B
Explanation:

When the band gap for a semiconductor is low, it means it is easy for the valance electrons to jump into conduction band i.e. less energy is required for the electrons to enter into conduction band. Hence, the resistance of the material is low and conductivity is high.

Which of the following has least band gap energy at $273K$.

  1. InSb

  2. InAs

  3. InP

  4. GaSb


Correct Option: A
Explanation:

The energy gaps of the given semiconductors at $273K$ are given:

   $InSb=0.16eV$ (Indium antimonide),
   $InAs=0.33eV$ (Indium arsenide),
   $InP=1.29eV$ (Indium phosphide),
  $GaSb=0.67eV$ (Galiumium antimonide),
It is clear that $InSb$ has the least energy gap.

What is the optimum band gap energy for a material to be considered as a semiconductor?

  1. greater than $6eV$

  2. less than $6eV$

  3. $0eV$

  4. $0.5-3eV$


Correct Option: D
Explanation:

Semiconductor materials have low but finite band gap energy, due to which there is an easy jump of electron from valence band to conduction band upon provision of external thermal energy.

The typical range of band gap energy for a semiconductor material is $0.5eV-3eV$.

Choose the correct statement(s):

  1. Band gap of a semiconductor increases as temperature increases.

  2. Band gap of a semiconductor decreases as the temperature increases.

  3. Band gap of a semiconductor is independent of temperature.

  4. Bandgap of a semiconductor decreases till critical temperature and increases after that. 


Correct Option: B
Explanation:

The energy bandgap of semiconductors tends to decrease as the temperature is increased. This behaviour can be understood if one considers that the interatomic spacing increases when the amplitude of the atomic vibrations increases due to the increased thermal energy. This effect is quantified by the linear expansion coefficient of a material. An increased interatomic spacing decreases the potential seen by the electrons in the material, which in turn reduces the size of the energy bandgap. 

This is the reason behind the decrease in resistance of semiconductor materials by increasing temperature.

Which among  the following having highest band gap ?

  1. Diamond

  2. Silicon

  3. Germanium

  4. Gallium nitride


Correct Option: A
Explanation:

The energy gaps of the given materials are given:

   Diamond $=6eV$  (insulator)
   Silicon $=1.1eVeV$  (semiconductor)
   Germanium $=0.6eV$  (semiconductor)
   Gallium nitride $=3.4eV$  (semiconductor)

What is the energy band gap of silicon and germanium respectively in $eV$  ?

  1. $1.1, 0.7$

  2. $0.7, 1.1$

  3. $-0.7, -1.1$

  4. $-1.1, -0.7$


Correct Option: A
Explanation:

A band gap, also called an energy band, is an energy range in a solid where no electron states can exist. It generally refers to the energy difference (in electron volts) between the top of the valence band and the bottom of the conduction band in insulators and semiconductors. The energy band gaps of silicon and germanium are $1.1eV $ and $0.7eV$ respectively.

Which of the following statement(s) is/are correct

  1. If the band gap becomes much more higher for a semiconductor then electrons from lower energy state can't move to higher energy state

  2. Lesser the band gap lesser is the conduction

  3. Lesser the band gap higher is the conduction

  4. none of the above


Correct Option: A,C
Explanation:

When the band gap for a semiconductor is low, it means it is easy for the valance electrons to jump into conduction band i.e. less energy is required for the electrons to enter into conduction band. Hence, the resistance of the material is low and conductivity is high i.e. lesser the band gap higher is the conduction.

When the band gap becomes much higher for a semiconductor then electrons can't move to higher energy state from lower energy state.

At what temperature semiconductors behaves as an ideal insulator?

  1. 273.15 $^\circ C$

  2. -459.67 $^\circ\ F$

  3. -273 $^\circ\ F$

  4. Room temperature


Correct Option: B
Explanation:

Semi-conductors behaves as an ideal insulator at absolute zero temperature($0K$) which is 0 Kelvin. Because at the absolute zero temperature the electrons in the valence band of semi-conductors do not posses enough thermal energy to overcome forbidden energy gap. so semi-conductors stop conducting and behaves as an insulator.

But  $0K=-459.67F$   
Hence correct answer is   $-459.67F$.

What is an energy gap?

  1. the space between two orbital shells

  2. the energy equal to the energy acquired by an electron passing a $1 V$ electric field

  3. the energy band in which electrons can move freely

  4. an energy level at which an electron can exist


Correct Option: A
Explanation:
  1. Orbiting electrons contains energy and are confirmed to definite energy levels.
    2. The various shells in an atom represent these levels.
    3. Therefore, to move an electron from the lower shell to a higher shell a certain amount of energy is required.
    3. Below the conduction band is the forbidden band or energy gap, electrons are never found in this band, but may travel back and forth through it, provided they do not come to rest in the band.
    4. As the electrons can also lose energy as well as receive it when an electron loses energy it moves to a lower shell.
    5. And supplying more energy than is needed will only cause the electron to move to the next higher shell.
    6. It means that an energy gap is the spacing between two orbital shells.

 Fermi energy level for $p-type$ extrinsic semiconductors lies 

  1. At middle of the band gap

  2. Close to conduction band

  3. Close to valence band

  4. None of the above


Correct Option: C
Explanation:

In case of a p-type semiconductor, the number of holes in valence band is grater then number of electrons in conduction band. hence, the probability of occupation of energy levels by the holes in valence band is greater than probability of occupation of energy levels by electrons in conduction band. This probability of occupation of energy levels is represented in terms of Fermi level.

$\therefore $ female level in p-type semiconductor lies does to valence band.

Energy gap of conductor is

  1. $0 \ eV$

  2. $1 \ eV$

  3. $2 \ eV$

  4. $3 \ eV$


Correct Option: A
Explanation:

The range of energy of the valence electrons of an atom is known as valence band. The range of energy in which an electron must exist in order to participate in the conduction of electricity is known as conduction band. The difference between the valence band and conduction band is known as band gap or energy gap. In conductors, the valence band overlaps with the conduction band. Which means, electrons are already ready for conduction and energy gap in a conductor is zero.

Fermi energy level for intrinsic semiconductors lies 

  1. At middle of the band gap

  2. Close to valence band

  3. Close to conduction band

  4. None of the above


Correct Option: A
Explanation:

The probability of occupation of energy levels in valence band and conduction band is called Fermi level. As the temperature increases free electrons and holes gets generated. In intrinsic semiconductor, the number of holes in valence band is equal to the number of electrons in the conduction band. Hence, the probability of occupation of energy levels in conduction band and valence band are equal. Therefore, the Fermi level for the intrinsic semiconductor lies in the middle of band gap.

Energy gap of semiconductor is approx

  1. $1 eV$

  2. $0 \ eV$

  3. $6-7 eV$

  4. $> 8\ eV$


Correct Option: A
Explanation:

The energy gap of a semiconductor lies in between insulators and conductors. In case of conductors, band gap Eg $\sim 0$ eV. Whereas in case of insulators, Eg $\sim 3-4$ eV. So, Band gap in case of a semiconductor is of order $\sim 1$ eV.

The level formed due to impurity atom, in the forbidden energy gap, very near to the valence band in a P-type semiconductor is called

  1. an acceptor level

  2. a donor level

  3. a conduction level

  4. none of these


Correct Option: A
Explanation:

The level formed due to impurity atom, in the forbidden energy gap, very near to the valency band in a p-type semiconductor is called an acceptor level.

The level formed due to impurity atom, in the forbidden energy gap, very near to the conduction band in a p-type semiconductor is called a donor level.
Therefore option $A$ is correct.

At absolute zero temperature a semiconductor behaves like :

  1. an insulator

  2. a super conductor

  3. a good conductor

  4. a variable resistor


Correct Option: A
Explanation:

At absolute zero, all the electrons by definition are found in valence band. Hence, at absolute zero temperature, a semiconductor behaves like an insulator.

The band gaps of a conductor, semiconductor and insulator are respectively ${Eg} _{1}, {Eg} _{2}$ and ${Eg} _{3}$. The relationship between them can be given as.

  1. ${ Eg } _{ 1 }={ Eg } _{ 2 }={ Eg } _{ 3 }$

  2. ${ Eg } _{ 1 }<{ Eg } _{ 2 }<{ Eg } _{ 3 }$

  3. ${ Eg } _{ 1 }>{ Eg } _{ 2 }>{ Eg } _{ 3 }$

  4. ${ Eg } _{ 1 }<{ Eg } _{ 2 }>{ Eg } _{ 3 }$


Correct Option: B
Explanation:

Band gap of the insulator is largest as it restricts the flow of electrons through it. So, $E _{g _{3}} > E _{g _{2}} > E _{g _{1}}$.

Energy gap in case of Germanium is about

  1. 0.82 eV

  2. 0.12 eV

  3. 0.72 eV

  4. 0.02 eV


Correct Option: C

The energy gap is highest in the case of

  1. Metal

  2. Insulator

  3. Semiconductor

  4. Diode


Correct Option: B

At absolute zero, a semiconductor is an insulator because _________.

  1. No electron is present in the conduction band

  2. All electrons occupy the valence band

  3. The value of $E _G$ is large

  4. All of the above


Correct Option: D
Explanation:

At absolute zero, the band gap in a semiconductor is of order $\sim 3eV$. The electrons in the valence band do not have sufficient energy to jump to the conduction band and hence semiconductor, behaves as an insulator at 0K.

With rise in temperature the resistance of germanium,

  1. increases

  2. decreases

  3. remains the same

  4. first increases then decreases


Correct Option: B
Explanation:

germanium is a semiconductor and as we know  when a semiconductor is heated, electron-hole pair is generated in it which increases its conductivity as the number of charge carriers are increasing.
Now, as conductivity increases resistance decreases because both are opposite of each other.

The energy bands are present only when the substance is present in the solid state.

  1. True

  2. False


Correct Option: A
Explanation:

This is because in a solid, there are several atoms placed closely together. The energy levels of inner orbit electrons of an atom are not influenced by the neighboring atoms as these electrons are tightly bound to their parent nucleus.
However, energy levels of outer orbit electrons of an atom are altered as these are influenced by the neighboring atoms. Therefore, the energy levels corresponding to outer shell electrons are spread up to form a band of energy. Therefore, the closely spaced energy levels of atoms in the solid combine to form an energy band.

The energy gap $E _G$ of a semi-conductor decreases with rise in temperature.

  1. True

  2. False


Correct Option: A
Explanation:

As the temperature is increased, the thermal energy to the electron within the semiconductor material also increases. Therefore, now lower energy is required to break the bond. This reduction in Bond energy also reduces the band gap. So, the band gap of a semiconductor decreases with increasing temperature.

With rise in temperature, resistance of a semiconductor material (germanium or silicon)

  1. increases

  2. decreases

  3. remains the same

  4. first increases then decreases


Correct Option: B
Explanation:

With rise in temperature, the number of charge carriers (holes and electrons) increases in the case of a semiconductor dominating the effect of decreasing relaxation time, increasing collision frequency.
So, as a whole the resistance of the material decreases with rise in temperature.

The forbidden gap for a pure silicon at the room temperature is _______eV.

  1. Less than one

  2. 1.1

  3. 3

  4. 9


Correct Option: B
Explanation:

The forbidden gap for a pure Si at room temperature is 1.1 eV.

A pure germanium crystal at absolute zero is:

  1. An insulator.

  2. A good conductor.

  3. A semiconductor.

  4. None of the above.


Correct Option: A
Explanation:

At absolute zero, a semiconductor is an insulator.

State whether True or False :

A semiconductor at absolute zero become a insulator.

  1. True

  2. False


Correct Option: A
Explanation:

The conductivity and non-conductivity of material are dependent on the motion of electrons. If the motion is happening it is conductor.

Now, at absolute zero, the temperature is so low that it stops the motion of the electrons. Thus making it a complete insulator.
$\Rightarrow$  Statement (A) is the correct answer.

What is forbidden energy gap(Eg) or band gap?

  1. Forbidden energy gap ${ E } _{ g }$ is the difference of energy levels of conduction band and within conduction band

  2. Forbidden energy gap ${ E } _{ g }$ is the difference of energy levels of conduction band and valence band.

  3. when there is no energy

  4. conduction band


Correct Option: B
Explanation:

Forbidden energy gap ${ E } _{ g }$ is the difference of energy levels of conduction band and valence band.

Give band gap Eg value for conductor, insulator and semiconductor?

  1. Conductor$<1MeV$, insulation $\ge 6eV$, semiconductor $\approx 8eV$.

  2. Conductor$<1MeV$, insulation $\ge 6eV$, semiconductor $\approx 1eV$.

  3. Conductor$<2MeV$, insulation $\ge 6eV$, semiconductor $\approx 1eV$.

  4. Conductor$<1MeV$, insulation $\ge 7eV$, semiconductor $\approx 1eV$.


Correct Option: B
Explanation:

Conductor$<1MeV$, insulation $\ge 6eV$, semiconductor $\approx 1eV$.

The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $2480nm$ is incident on it The forbidden band gap for the semiconductor is 

  1. $0.9eV$

  2. $0.7eV$

  3. $0.5eV$

  4. $1.1eV$


Correct Option: C

In germanium crystal, the forbidden energy gap in joule is:

  1. $1.6\times 10^{-19}$

  2. zero

  3. $1.12\times 10^{-19}$

  4. $1.76\times 10^{-19}$


Correct Option: C

The energy of radiation emitted by $LED$ is :

  1. greater than the band gap of the semiconductor used

  2. always less than the band gap of the semiconductor used.

  3. always equal to the band gap of the semiconductor used.

  4. equal to the or less than the band gap of the semiconductor used


Correct Option: D

Given that the mobility of electrons in Ge is $0.4$ metre square/volt sec and electronic charge is $ 1.6 \times 10^{-19}$C. How many door atom (per $ m^3$) have in semiconductor of conductivity $500$ mho/m:-

  1. $ 8 \times 10^{21}$

  2. $8 \times 10^{15}$

  3. $5 \times 10^{21}$

  4. $8 \times 10^6$


Correct Option: C

Three semiconductors are arranged in the increasing order of their energy gap as follows: the correct arrangement is

  1. Tellurium, germanium, silicon

  2. Tellurium,silicon , germanium

  3. silicon, germanium, Tellurium

  4. silicon, Tellurium, germanium


Correct Option: A

Depletion layer consists of:

  1. electrons

  2. protons

  3. mobile ions

  4. immobile ions


Correct Option: D

The band gap for a pure semi-colour is $2.1\ eV$. The maximum wavelength of a photon which is able to create a hole-electron pair is:

  1. $600\ nm$

  2. $589\ nm$

  3. $400\ nm$

  4. $none\ of\ these$


Correct Option: B

State whether true or false:

The highest occupied energy band is called the valence band and the lowest unoccupied energy band is called the conduction band.

  1. True

  2. False


Correct Option: A
Explanation:

The highest occupied energy band is called the valence band and the lowest unoccupied energy band is called the conduction band.
Their difference determines the conductivity of the compound.

The highest occupied energy band is called ________ and lowest unoccupied energy band is called the _________ .

  1. Band Gap, Conduction band

  2. Valence band, Band Gap

  3. Conduction band, Valence band

  4. Valence band, Conduction band


Correct Option: C
Explanation:

The highest energy band occupied by electrons is the valence band. In a conductor, the valence band is partially filled, and since there are numerous empty levels, the electrons are free to move under the influence of an electric field; thus, in a metal the valence band is also the conduction band. The valence band is the highest range of electron energies in which electrons are normally present at absolute zero temperature, while the conduction band is the lowest range of vacant electronic states. This distinction is meaningless in metals as the highest band is partially filled, taking on the properties of both the valence and conduction bands.


In metals, the conduction bands are incompletely filled orbitals that allow electrons to flow.

  1. true

  2. false

  3. orbit

  4. none of these


Correct Option: A
Explanation:

In metals, the conduction bands are incompletely filled orbitals that allow electrons to flow. This helps in electrical conductivity. If the conduction band is completely filled, then there is no flow of electrons and the conductor becomes insulator.

The highest energy band which is filled at zero Kelvin is called ________.

  1. conduction band

  2. valence band

  3. insulation band

  4. filled band


Correct Option: B
Explanation:

At zero Kelvin, all the electrons are present in valence band while conduction band is empty. So valence band is the highest energy band which is filled at zero kelvin.

If the energy gap of a semiconductor is 1.1 e V it would be:

  1. Transparent to the ultraviolet radiation

  2. Opaque to the visible light

  3. Transparent to the visible light

  4. None of these


Correct Option: B
Explanation:

Visible light lies in the range of about 2.0 eV to 3.2 eV on the electromagnetic spectrum. 

This energy is sufficient to excite the valence electrons in the semiconductor and is hence absorbed by it. 
As a result, photons of lower energy are emitted which do not fall in the visible range of light. 
This causes the opacity of the semiconductor to visible light.

Which of the following statement(s) is/are correct: 

  1. The gap between the top of the valance band and the bottom of the conduction band is called energy band gap

  2. More band gap results in less electron transfer

  3. A semiconductor is a material with a small but non-zero band gap that behaves as an insulator at absolute zero

  4. All of the above


Correct Option: D
Explanation:
In a material the gap between top of the valance band and bottom of the conduction band is called energy gap as the energy equal to this gap is required for the valance electrons to jump into conduction band.

When the band gap is high, it means it is difficult for the valance electrons to jump into conduction band i.e. higher energy is required for the electrons to enter into conduction band. This results in less electrons transfer.

A semiconductor is a material with small band gap which can fulfilled by some special treatment. At absolute zero temperature, the valance electrons don't have energy to cross this energy gap therefore semiconductors behave as insulators.

Fill in the blank.
Energy band gap size for insulators is in the range ________ eV. 

  1. $1-2$

  2. $2-3$

  3. $3-4$

  4. $>4$


Correct Option: C

In the bandgap between valence band and conduction band in a material is $5.0eV$, then the material is

  1. semiconductor

  2. good conductor

  3. superconductor

  4. insulator


Correct Option: D
Explanation:

For an insulator, the band gap i.e. the energy difference between valence and conduction band is high i.e. $5-6$ eV.

The electrical conductivity of a semiconductor increases when radiation of the wavelength shorter than $2480nm$ is incident on it.The bandgap (in eV) for the semiconductor is

  1. $0.5$

  2. $0.9$

  3. $0.7$

  4. $1.1$


Correct Option: A
Explanation:

We know that $E=\dfrac{hc}{\lambda}$

$\Rightarrow E=\dfrac{6.6 \times 10^{-34} \times 3 \times 10^{8}}{2480 \times 10^{-9}}=0.5 ev$
Therefore the band gap for the semiconductor is $0.5ev$
So the correct option is $A$

State whether given statement is True or False
The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature decreases exponentially with increasing bandgap.

  1. True

  2. False


Correct Option: A
Explanation:

The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature decreases exponentially with increasing bandgap because it is more difficult for the electrons to jump to the conduction band from valence band if the band gap between them is large.

Therefore the given statement is TRUE.

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