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Q.


Outline the relation between resistance and electrical resistivity of the material of a conductor in the shape of cylinder of length ' Question Image ' and therefore the area of cross section ' Question Image '.Resistance of a metal wire of length 5m is Question Image. If the area of the cross section of the wire is Question Image. What is the resistivity of the metal?


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a

Question Image

b

6×10-5Ω-m

c

 6×10-4Ω-m

d

6×10-7Ω-m 

answer is A.

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Detailed Solution

Concept- Resistance is characterized as a conductor's quality that opposes the flow of electric current. The ratio of the applied voltage to the electric current passing through it is another definition for it. The resistance provided by a substance per unit length per unit cross-section is referred to as resistivity. Ohm.meter is the SI unit for resistivity.
Relationship between resistance and electrical resistance within a cylinder with a cross section area of A and a length l,
Then we get the formula,
Question ImageWhere Question Image is resistance.
Now, Question Imagecurrently substitute the units of R, A, and Question Image, we get
where as, Question ImageQuestion Image and Question Image then
Question ImageQuestion ImageQuestion ImageOnly if, resistance, Question Image, Length Question Image and area of cross section Question Image.
Now we will calculate the resistivity in metal by equation Question ImageSubstitute the particularly values with in the equation (1) , then we tend to go
Question ImageQuestion ImageQuestion ImageSo,the resistivity of a metal is Question Image.
Hence, option 1 is correct.
 
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