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Electronic Devices
Semiconductor Physics

Practice questions from Semiconductor Physics.

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Q#1 Semiconductor Physics GATE EC 2025 (Set 1) MSQ +1 mark -0 marks

Which of the following can be used as an n-type dopant for silicon?

Select the correct option(s).

Arsenic

Boron

Gallium

Phosphorous

Explanation:

The correct options are:

(A) Arsenic and (D) Phosphorous

These are both -type dopants for silicon because they have five valence electrons (group  elements), which provide extra electrons to the silicon lattice, making it an n-type semiconductor.

while, Boron and Gallium are p-type dopants because they have only three valence electrons, creating holes in the silicon lattice.

Alternate Solution:

Arsenic (As) and Phosphorous (P) are Group 15 elements, they have an extra electrons (5 electrons in valence shell) to contribute to lattice when doped in silicon.

 n-type means material has more electrons than holes,

n-type dopants are (a) and (d)

Q#2 Semiconductor Physics GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

The intrinsic carrier concentration of a semiconductor is  at 300 K.

If the electron and hole mobilities are  and , respectively, then the intrinsic resistivity of the semiconductor (in  ) at 300 K is _________.

(Charge of an electron .)

1.65

1.65

0.85

1.95

Explanation:

Intrinsic Carrier Concentration,

   

 

 

 

 

 

 

Hence, option (B) is correct.

Alternate Solution:

 charge of electron (magnitude)

 intrinsic carrier concentration

 mobility of holes

 mobility of electrons

 

 

Upon substitution,

 

 

Q#3 Semiconductor Physics GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

The electron mobility  in a non-degenerate germanium semiconductor at 300 K is .

The electron diffusivity  at 300 K (in , rounded off to the nearest integer) is _________.

(Consider the Boltzmann constant  and the charge of an electron .)

26

98

38

10

Explanation:

Given:

 

 

 

 

 

 

Hence, option (B) is correct.

Alternate Solution:

By Einstein's relation,  Thermal Voltage

 

Given  and

 

Q#4 Semiconductor Physics GATE EC 2024 (Set 1) MCQ +1 mark -0.33 marks

For non-degenerately doped n-type silicon, which one of the following plots represents the temperature (𝑇) dependence of free electron concentration (𝑛)

Explanation:

The graph of log(n) vs 1/T is mentioned.

Q#5 Semiconductor Physics GATE EC 2024 (Set 1) NAT +2 marks -0 marks

A non-degenerate n-type semiconductor has  neutral dopant atoms. Its Fermi level is located at  below the conduction band  and the donor energy level  has a degeneracy of 2. Assuming the thermal voltage to be . The difference between  and  (in , rounded off to two decimal places) is __________.

Explanation:

 neutral donor atoms/dopant atoms means  donor atoms are ionized. Concentration of electrons occupying the donor level is given as

 

and where is ionized donor atoms concentration.
according to question

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Q#6 Semiconductor Physics GATE EC 2024 (Set 1) MSQ +1 mark -0 marks

The free electron concentration profile  in a doped semiconductor at equilibrium is shown in the figure, where the points , and  mark three different positions. Which of the following statements is/are true?

For  between B and C, the electron diffusion current is directed from  to .

For  between B and A, the electron drift current is directed from B to A.

For  between B and C, the electric field is directed from B to C.

For  between B and A, the electric field is directed from  to .

Explanation:
  • Density of  is maximum at point  and minimum at .
  •  will move from , and from  to .
Q#7 Semiconductor Physics GATE EC 2023 (Set 1) MCQ +1 mark -0.33 marks

In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as

degenerate -type.

degenerate -type.

non-degenerate -type.

non-degenerate -type.

Explanation:

In degenerate semiconductor, fermi level lies inside conduction band or valence band.

As the Fermi lies inside the conduction band hence it is degenerate -type semiconductor.

Q#8 Semiconductor Physics GATE EC 2023 (Set 1) MCQ +1 mark -0.33 marks

For an intrinsic semiconductor at temperature , which of the following statement is true?

All energy states in the valence band are filled with electrons and all energy states in the conduction band are empty of electrons.

All energy states in the valence band are empty of electrons and all energy states in the conduction band are filled with electrons.

All energy states in the valence and conduction band are filled with holes.

All energy states in the valence and conduction band are filled with electrons.

Explanation:

Intrinsic semiconductor at  behaves as an insulator.

Hence, valence band is completely filled with electrons and conduction band is completely empty.

Q#9 Semiconductor Physics GATE EC 2023 (Set 1) NAT +2 marks -0 marks

In an extrinsic semiconductor, the hole concentration is given to be  where  is the intrinsic carrier concentration of . The ratio of electron to hole mobility for equal hole and electron drift current is given as _________(rounded off to two decimal places).

Explanation:

Given,  

Given hold drift currentdrift current (In)

        

Q#10 Semiconductor Physics GATE EC 2023 (Set 1) NAT +2 marks -0 marks

In a semiconductor device, the Fermi-energy level is  above the valence band energy. The effective density of states in the valence band at  is . The thermal equilibrium hole concentration in silicon at  is  _________. (rounded off to two decimal places). Given KT at  is .

Explanation:

Given,

[Considering it is given at  ]

Also,  at

 

 

 

Given, effective density of states in the valence band,

 

 

 

 

 

 

Now, hole concentration at  is given as