
Resistivity of a semiconductor depends on:
A. Shape of semiconductor
B. Atomic nature of semiconductor
C. Length of semiconductor
D. Shape and atomic nature of semiconductor
Answer
447.6k+ views
Hint:Resistivity of a material is its own inherent property. Resistivity of the material is the ability of a material to resist the current flowing through the material which in our case is a semiconductor. The resistance of a semiconductor does not follow the same trend as that of a conductor but the resistivity of a material is the material’s own ability.
Complete answer:
According to the Ohm’s law, “Under a definite physical condition, the current flowing through the conductor is directly proportional to the applied potential difference at its ends. Thus,
\[
I \propto V \\
\therefore V = IR \\ \]
And here, R is the proportionality constant, which is called the resistance of the conductor. Resistance of a conductor is the ability of a conductor to resist the flow of electrons in the conductor, which is how much it stops current to get flowing in the conductor.
Resistivity of a material is the ability of the material to show resistance. Resistance in terms of resistivity is shown as follows:
\[R = \rho \dfrac{l}{A}\]
Here, R is the resistance of the conductor,\[\rho \]is the resistivity of the material, l is the length of the conductor and A is the area of the conductor.
Although all of the above formulas are for a semiconductor, we can understand that resistivity of a material is a material’s intrinsic property. It is inherited by the material and hence does not depend upon the shape or length of the material.
Hence, option B is the correct answer.
Note:Ohm’s law is only applicable on the materials which are conductors, but it is not applicable to semiconductors. The current and voltage do not have a linear relationship and instead have a parabolic relation with each other. Thus the relationship of resistance and temperature is also not linear for semiconductors.
Complete answer:
According to the Ohm’s law, “Under a definite physical condition, the current flowing through the conductor is directly proportional to the applied potential difference at its ends. Thus,
\[
I \propto V \\
\therefore V = IR \\ \]
And here, R is the proportionality constant, which is called the resistance of the conductor. Resistance of a conductor is the ability of a conductor to resist the flow of electrons in the conductor, which is how much it stops current to get flowing in the conductor.
Resistivity of a material is the ability of the material to show resistance. Resistance in terms of resistivity is shown as follows:
\[R = \rho \dfrac{l}{A}\]
Here, R is the resistance of the conductor,\[\rho \]is the resistivity of the material, l is the length of the conductor and A is the area of the conductor.
Although all of the above formulas are for a semiconductor, we can understand that resistivity of a material is a material’s intrinsic property. It is inherited by the material and hence does not depend upon the shape or length of the material.
Hence, option B is the correct answer.
Note:Ohm’s law is only applicable on the materials which are conductors, but it is not applicable to semiconductors. The current and voltage do not have a linear relationship and instead have a parabolic relation with each other. Thus the relationship of resistance and temperature is also not linear for semiconductors.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Trending doubts
Which are the Top 10 Largest Countries of the World?

What is a transformer Explain the principle construction class 12 physics CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw a labelled sketch of the human eye class 12 physics CBSE

What are the major means of transport Explain each class 12 social science CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?
