Question

The resistivity of a wire
A. Increase with the length of the wire
B. Decrease with the area of cross-section
C. Decrease with the length and increase with the cross-section of wire
D. None of the above statement is correct

Answer 1

Hint:Electrical resistivity (also known as particular electrical resistance or volume resistivity) is a material attribute that determines how well it resists electric current.Electrical conductivity, its inverse, measures how well a material conducts electricity.

Complete answer:
The material's resistivity is a property. It is independent of size and shape. The resistivity of a material is determined by its nature and the conductor's temperature, but not by its form or size. The resistivity of a good conductor is low, whereas the resistivity of a bad conductor or insulator is high.

The resistance \[R\] of a specimen, such as a wire, multiplied by its cross-sectional area \[A\] and divided by its length equals resistivity, which is typically denoted by the Greek letter rho $\rho $ .
$\rho = R\dfrac{A}{l}$
Where, \[R\] is the electrical resistance of a uniform specimen of the material in ohms, \[\;l\] is the length of the piece of material in metres, \[A\] is the cross-sectional area of the specimen in square metres, and \[{m^2}\] is the cross-sectional area of the specimen in square metres.The resistance can be adjusted by adjusting a range of various parameters, as shown in the equations. Thus, resistance depends upon many of the parameters not resistivity, so none of the above options is correct.

So, the correct option is D.

Note:Resistivity is important in a variety of electronic components as well as numerous electrical components. Electrical resistivity is an important property to consider when selecting materials for use in electrical and electronic systems. Insulators are substances having a high electrical resistivity that can be utilised for this purpose. This is a good conductor with a low electrical resistance and can be utilised in a variety of applications ranging from wire to electrical connections and much more.