Question

a metal wire of length 2m is having 10 ohm resistance if same wire of length 5m is considered then what will be the resistance?

Answer 1

Answer:

25 ohm

Explanation:

2 m has 10 ohm

then 1 m have 5 ohm

so for 5m 5×5 ohm = 25 ohm

Answer 2

Given :  A metal wire of length 2m is having 10ohm resistance

To find : what will be resistance of same wire of length 5m

Solution:

R = ρ L / A

R = resistance

ρ = resistivity

L = Length

A = Cross section area

same wire  hence  ρ & A are same

R₁ = ρ L₁ / A

R₂ = ρ L₂ / A

=> R₁/R₂  = L₁ /  L₂

R₁ = 10Ω  , L₁ = 2m

R₂  = ?  L₁ = 5m

=>  10/R₂  = 2/5

=> R₂ = 25 Ω

Resistance of wire of length 5 m will be  25 Ω

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