A wire has resistivity ρ, its length is doubled and its area of cross section is halved. What will be . . .

Question : A wire has resistivity ρ, its length is doubled and its area of cross section is halved. What will be the new value of resistivity of the wire? 

a) ρ
b) ρ/2
c) 4ρ
d) 2ρ

Doubt by Tanya

Solution : 

The resistivity of a wire only depends on the nature of material and not on the dimensions of the wire. So the resistivity will remains same. 

Hence, the correct answer is a) ρ