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ECET 2026 Preparation

Day 43 – Morning Session: Physics – Semiconductors (Basics) – ECET 2026

In ECET 2026 Physics, Semiconductors are a key topic. Questions are usually from definitions, types, doping, charge carriers, and energy band theory. Mastering this ensures scoring 2–3 direct marks.


📘 Concept Notes – Semiconductors (Basics)

🌐 What is a Semiconductor?

  • A semiconductor is a material whose electrical conductivity lies between that of a conductor and an insulator.
  • Examples: Silicon (Si), Germanium (Ge).

⚡ Types of Semiconductors

  1. Intrinsic Semiconductor:
    • Pure form of semiconductor.
    • Conductivity depends only on temperature.
    • Equal number of electrons and holes.
  2. Extrinsic Semiconductor (Doped):
    • Impurities are added to improve conductivity.
    • Two types:
      • n-type: Doped with pentavalent impurity (e.g., P, As). → More electrons.
      • p-type: Doped with trivalent impurity (e.g., B, Al). → More holes.

⚙️ Important Formulas

  1. Electrical Conductivity
     \sigma = nq\mu
    Where:
  •  n = charge carrier concentration
  •  q = charge of electron
  •  \mu = mobility
  1. Resistivity

 \rho = \frac{1}{\sigma}

Intrinsic Carrier Concentration
 n_i = A T^{3/2} e^{\frac{-E_g}{2kT}}
Where:

  •  E_g = energy band gap
  •  k = Boltzmann constant
  •  T = absolute temperature
  1. Energy Relation
     E = E_c - E_v
    Where:
  •  E_c = conduction band energy
  •  E_v = valence band energy

📐 Example

If intrinsic carrier concentration  n_i = 1.5 \times 10^{10} ; cm^{-3} at  T = 300 K for Si, then resistivity can be calculated using:

 \rho = \frac{1}{q \cdot n_i \cdot \mu}


🔟 10 Expected MCQs – ECET 2026

Q1. Which of the following is a semiconductor?
A) Copper
B) Silicon
C) Glass
D) Wood

Q2. In intrinsic semiconductors, the number of electrons is:
A) Greater than holes
B) Equal to holes
C) Less than holes
D) Zero

Q3. The process of adding impurities to a semiconductor is called:
A) Mixing
B) Doping
C) Alloying
D) Annealing

Q4. n-type semiconductors are formed by doping with:
A) Trivalent impurity
B) Pentavalent impurity
C) Divalent impurity
D) None

Q5. Resistivity of a semiconductor is given by:
A)  \rho = \sigma
B)  \rho = \frac{1}{\sigma}
C)  \rho = nq\mu
D)  \rho = \frac{V}{I}

Q6. Energy band gap of Silicon is approximately:
A) 0.7 eV
B) 1.1 eV
C) 3.2 eV
D) 5 eV

Q7. In p-type semiconductors, majority carriers are:
A) Electrons
B) Holes
C) Neutrons
D) None

Q8. Conductivity of semiconductors increases with:
A) Decrease in temperature
B) Increase in temperature
C) Constant temperature
D) None

Q9. Intrinsic carrier concentration  n_i is proportional to:
A)  T^{1/2}
B)  T
C)  T^{3/2}
D)  T^2

Q10. Which statement is FALSE about semiconductors?
A) Conductivity lies between metals and insulators
B) Used in diodes and transistors
C) Doping decreases conductivity
D) Resistivity decreases with temperature


✅ Answer Key

Q.NoAnswer
Q1B
Q2B
Q3B
Q4B
Q5B
Q6B
Q7B
Q8B
Q9C
Q10C

🧠 Explanations

  • Q1 → B: Silicon is a semiconductor.
  • Q2 → B: In intrinsic type, electrons = holes.
  • Q3 → B: Adding impurities is called doping.
  • Q4 → B: n-type formed by pentavalent impurity.
  • Q5 → B:  \rho = \frac{1}{\sigma} .
  • Q6 → B: Si band gap = 1.1 eV.
  • Q7 → B: Holes are majority carriers in p-type.
  • Q8 → B: Conductivity increases with temperature.
  • Q9 → C:  n_i \propto T^{3/2} .
  • Q10 → C: Doping increases, not decreases, conductivity.

🎯 Why Practice Matters

  • Semiconductor basics are repeated every year in ECET Physics.
  • Very scoring: Most questions are direct definitions, formulas, and properties.
  • Also forms the base for Electronics and Digital subjects.

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