Solution:we know thatR=(ρ×l)/a
R= resistance
ρ= resistivity
l=length
a=area
let the ρ₁,l₁ and r₁ is resistance length and radius of the first wire respectively then
as per question
resistivity of second wire ρ₂=2ρ₁
length of the second wire l₂=2l₁
radius of the second wire r₂=2r₁
⇒R₁=(ρ₁×l₁)/a₁=(ρ₁×l₁)/πr₁²
R₂=(ρ₂×l₂)/a₂ =(2ρ₁×2l₁)/π(r₁)²
=4(ρ₁×l₁)/4πr₁²=(ρ₁×l₁)/πr₁²
⇒R₁/R₂=1
Since the resistance of thin wire R₁=10Ω
therefore resistance of the thicker wire R₂=10Ω.