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Fermi Dirac Distribution Question & Answers

May 17, 2022 By WatElectronics

This Article lists 100+ Fermi Dirac Distribution MCQs for engineering students. All the Fermi Dirac Distribution Questions & Answers given below includes solution and link wherever possible to the relevant topic.

Fermi-Dirac distribution deals with identical & indistinguishable particles through half-integral spins. The particles which follow Fermi Dirac statistics are known as fermions like electrons, neutrons, protons, etc.

Fermions follow the Pauli Exclusion Principle, which states that two fermions cannot reside in a similar quantum position simultaneously. The function of FD distribution gives the chance that a specified energy level is occupied through a fermion for a system within the thermal equilibrium.

The Fermi-Dirac distribution function is expressed through f(E) = 1/1+e(E-Ef)/KBT, where ‘Ef’ is the element’s Fermi energy, Boltzmann constant is kB & f(E) is the possibility that a quantum state through energy is occupied with an electron.

The Fermi–Dirac plays a key role in studying thermoelectricity, electrical & thermal conductivities,  thermionic effects, photoelectric effects, and the specific heat of metals.

1). The difference between lower energy level conduction band and upper energy level valence band is called---?

Hint
2). When there is no forbidden gap present the probability of Fermi level being occupied by an electron is?

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3). ------------is the energy of the fastest moving electron in 0K.

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4). Fermi-Dirac function is valid under the condition of---?

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5). When EF is the Fermi level, E is the given energy level, K is the Boltzmann constant and T temperature in 0k, the Fermi-Dirac function, f(E)=---?

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6). At any value of temperature if E = EF then f(E)...?

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7). The probability of finding the electron at an energy level higher than EF at absolute zero temperature is---?

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8). The probability of finding an electron at an energy level lower than EF at absolute zero temperature is---?

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9). When n is the total number of free electrons, EF is given by...?

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10). EF is the same for all metals

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11). Generally, the numerical value of EF is less than---?

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12). In an intrinsic semiconductor, Fermi level lies at---?

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13). In P-type semiconductor, Fermi level lies at...?

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14). In N-type semiconductor, Fermi level lies at---?

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15). Maxwell-Boltzmann approximation is limited to--.?

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16). Bose-Einstein statistics is applied to--?

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17). Particles with integer spin or no spin are called---?

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18). Pauli’s exclusion principle is followed by---?

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19). Thermal energy at room temperature is given by kB T= ?

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20). The probability of not finding the electron is?

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21). Concentration of electrons in conduction band is given by-----------

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22). Concentration of holes in valence band is---?

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23). Energy band gap is high in---?

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Please refer to this link to know more about Energy Band
24). Units of Boltzmann constant is---?

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25). Fermions which follow Pauli’s exclusion principle are----------spin particles?

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Fermi Dirac Distribution MCQs for Interviews

26). The main disparity between bosons & fermions is that bosons do not follow ______ principle?

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27). For fermions, the function of wave is…?

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28).Which of the following is not used by Fermi Dirac?

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29).In fermi energy, the ‘K’ symbol denotes?

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30). Fermi direct distribution rules…?

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31). The function of Fermi Dirac deals with…?

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32).At which temperature, Fermi energy is possessed through an electron within a conductor is…?

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33). In the following characteristics, which of the curve denotes for Fermi-Dirac?

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34).The mean energy expression can be expressed as?

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35). The Maxwell-Boltzmann’s law can be expressed as ?

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36). The expression of distribution function is…?

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37). The Maxwell-Boltzmann law is expressed as…?

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38). The particles which obey Fermi – Dirac statistics is known as?

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39). The first Fermi-dirac statistics was published in …year?

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40). The FD statistics was developed by….scientists?

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41). Distribution functions are nothing but…?

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42).Fermi dirac distribution expression is…?

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43). Fermi level probability which is occupied through an electron at absolute temperature can be …?

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44). Fermi-Dirac statistics is a …….?

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45).The function of Fermi dirac distribution mainly deals with…?

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46). In metals all the energy levels at complete temperature lying on top of Fermi level are

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47). The coefficient of resistivity for conductors is…?

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48). In an intrinsic semiconductor at Zero K, the level of energy that lies in the center of the prohibited band is….level?

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Please refer to this link to know more about Intrinsic Semiconductor
49). Based on the quantum theory, the metal’s electrical conductivity is because of free electrons which are extremely near to?

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50). When the electrical field is applied on a metal then electrons velocity present close to the Fermi level will be….?

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Fermi Dirac Distribution MCQs for Exams

51). Which of the following particles are identical & indistinguishable?

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52). Which of the following has half integer spin?

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53).Which of the following very useful for characterizing different particles?

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54). The spin factor of Bosons is…?

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55). Which of the following particles is indistinguishable?

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56). In every quantum state, the number of Bosons can hold is?

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57). In which of the following field, Fermi–Dirac statistics is an element?

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58). The principle used by FD statistics is?

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59). A large number of particles behavior can be described by…?

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60). A non-interacting fermions collection is known as…?

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61). The relation between T1 & T2 in the following graph is?

Fermi-Dirac distribution Variation with Energy

Fermi-Dirac distribution Variation with Energy

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62). A single electron silver’s average energy is 3.310 eV, then what will be the fermi-energy for Silver at temperature 0 K?

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63). Mean energy is also called?

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64). In a p-type semiconductor, the Fermi level lies near….?

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65). In an n-type semiconductor, the Fermi level lies near….?

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66). When the electrons move from one energy level to another then it generates…?

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67). When the conduction band has energized electrons then the valence band has….?

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68). In the energy band diagram, Fermi level energy is denoted with…?

Energy Band Theory

Energy Band Theory

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69). In the energy band diagram, the valence band is denoted with…?

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70). In fermi dirac distribution equation, ‘K’ is….?

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71). The system's Macroscopic properties can be computed through…function?

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72). Fermi-Dirac distribution equation can be reduced by using…?

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73) The branch of quantum statistics is known as…?

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74) What is the value of the zero-point energy for the material when the material’s Fermi energy is 3.46 eV.?

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75). Which of the following is used to study thermoelectricity?

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