Answer
405k+ views
Hint:Write the expression of drift speed in terms of potential difference, length of wire, electron density and resistivity and then put those values as given in the question into the expression of drift velocity, you will get the resistivity.
Complete step by step answer:
Before solving lets define few terms,
Drift velocity: In physics a drift velocity is the average velocity attained by charged particles, such as electrons, in a material due to an electric field. In general, an electron in a conductor will propagate randomly at the Fermi velocity, resulting in an average velocity of zero. Applying an electric field adds to this random motion a small net flow in one direction; this is the drift.
Resistivity: It is electrical resistance of a conductor of unit cross-sectional area and unit length. A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents. High resistivity designates poor conductors.
Now we know that for a conductor $I = nAe{v_d}$ where $n$ is electron density, $A$ is area of cross-section and ${v_d}$ is drift velocity.
Using ohm's law we have
$I = \dfrac{V}{R} = nAe{v_d}$
$ \Rightarrow I = \dfrac{V}{{\dfrac{{\rho l}}{A}}}\\
\Rightarrow I = nAe{v_d}$ where $\rho $ is resistivity.
$ \Rightarrow \rho = \dfrac{V}{{ne{v_d}l}}$
Putting values we have
$\rho = \dfrac{5}{{8 \times {{10}^8} \times 1.6 \times {{10}^{ - 19}} \times 2.5 \times {{10}^{ - 4}} \times 0.1}}\\
\therefore \rho = 1.5625 \times {10^{ - 5}}\Omega m$
Hence value of resistivity is $1.5625 \times {10^{ - 5}}\Omega m$.
Note:Most of the students have confusion in between resistance and resistivity so always remember that resistivity is the characteristic property of a material and it remains same irrespective to the change in length and area of a wire while the resistance of a wire is depends on length and area of cross section of a wire.Hence it’s value get changes upon changing these parameters.
Complete step by step answer:
Before solving lets define few terms,
Drift velocity: In physics a drift velocity is the average velocity attained by charged particles, such as electrons, in a material due to an electric field. In general, an electron in a conductor will propagate randomly at the Fermi velocity, resulting in an average velocity of zero. Applying an electric field adds to this random motion a small net flow in one direction; this is the drift.
Resistivity: It is electrical resistance of a conductor of unit cross-sectional area and unit length. A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents. High resistivity designates poor conductors.
Now we know that for a conductor $I = nAe{v_d}$ where $n$ is electron density, $A$ is area of cross-section and ${v_d}$ is drift velocity.
Using ohm's law we have
$I = \dfrac{V}{R} = nAe{v_d}$
$ \Rightarrow I = \dfrac{V}{{\dfrac{{\rho l}}{A}}}\\
\Rightarrow I = nAe{v_d}$ where $\rho $ is resistivity.
$ \Rightarrow \rho = \dfrac{V}{{ne{v_d}l}}$
Putting values we have
$\rho = \dfrac{5}{{8 \times {{10}^8} \times 1.6 \times {{10}^{ - 19}} \times 2.5 \times {{10}^{ - 4}} \times 0.1}}\\
\therefore \rho = 1.5625 \times {10^{ - 5}}\Omega m$
Hence value of resistivity is $1.5625 \times {10^{ - 5}}\Omega m$.
Note:Most of the students have confusion in between resistance and resistivity so always remember that resistivity is the characteristic property of a material and it remains same irrespective to the change in length and area of a wire while the resistance of a wire is depends on length and area of cross section of a wire.Hence it’s value get changes upon changing these parameters.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)