Assertion: When area of the conductor is halved then the resistance of the material gets doubled when length is kept constant.
Reason: Because resistance is inversely proportional to the area of a cross-section of the material.
(1)
According to the formula:
Where,
R : resistance
: resistivity
l : length of conductor
A : area of cross section of conductor
Here, resistivity of the material never varies. If length is also kept constant and when area is halved then resistance of the material gets doubled as the resistance depends on 3 factors, i.e., length, area and nature of the material.
Thus, both assertion and reason are correct and reason is the correct explanation of assertion.