Question

7.
The wire of a heating element has a resistance R The wire breaks and is replaced by a different wire.
Data for the original wire and the replacement wire is as shown in the table
length diameter. resistivity of metal
original wire L. D. P
replacement wire. L. 2D. 2P.

Find the resistance of replacement wire in terms of R
Please give proper explanation
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Answer 1

Answer:

R= Apl = πr 2pl

R ′ = π(2r) 2p2l = 2R

Specific resistance will remain same as it is a material property but remember it depends on temperature.