
The mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for a n-type semiconductor, the density of electrons is and their mobility is then the resistivity of the semiconductor (since it is an n-type semiconductor contribution of holes is ignored) is close to:
a).
b).
c).
d).
Answer
150.9k+ views
Hint: To find out the resistivity of the semiconductor we need to find its conductivity first and then we can take its reciprocal to find out the required resistivity. While using the conductivity formula, we need to ignore the hole concentration as given in the question.
Formula used:
Conductivity of the semiconductor, , where p and n are the electron and hole density respectively, and are the mobility of holes and electrons and e is the charge on the electron.
Complete step by step answer:
We have been given the density of electrons, and mobility, .
So, to find the conductivity we need to use the formula , where p and n are the electron and hole density respectively, and are the mobility of holes and electrons and C is the charge on the electron.
According to the question, the semiconductor is of n-type, so contribution of holes will be ignored.
So, conductivity
Now, we know that resistivity,
Therefore.
Hence, option b is the correct answer.
Note: There will be certain resistivity that will be provided by the holes too and we should take care until and unless it has been mentioned to ignore its effect, it effect should be considered by calculating the resistivity of the semiconductor.
Formula used:
Conductivity of the semiconductor,
Complete step by step answer:
We have been given the density of electrons,
So, to find the conductivity we need to use the formula
According to the question, the semiconductor is of n-type, so contribution of holes will be ignored.
So, conductivity
Now, we know that resistivity,
Therefore.
Hence, option b is the correct answer.
Note: There will be certain resistivity that will be provided by the holes too and we should take care until and unless it has been mentioned to ignore its effect, it effect should be considered by calculating the resistivity of the semiconductor.
Recently Updated Pages
Difference Between Mass and Weight

Uniform Acceleration - Definition, Equation, Examples, and FAQs

Young's Double Slit Experiment Step by Step Derivation

Difference Between Circuit Switching and Packet Switching

JEE Main Participating Colleges 2024 - A Complete List of Top Colleges

JEE Main Maths Paper Pattern 2025 – Marking, Sections & Tips

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Degree of Dissociation and Its Formula With Solved Example for JEE

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

Electrical Field of Charged Spherical Shell - JEE

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Displacement-Time Graph and Velocity-Time Graph for JEE
