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Explanation:
Let us consider the ratio as x as of length.
So length of 1 wire is x
And the second wire is 2x.
Let us consider ratio of area as y.
So of 1st wire it will be 2y.
And of 2nd it will be y.
Now we know the formula of resistance as
Resistance= Resistivity×Length / Area
Solving for 1st wire
It will be px/2y where p means Roh or resistivity.
And for 2nd wire
It will be 2px/y
Now the ratio will be
px/2y:2px/y
In dividing it we get
pxy/4pay
Where pxy gets cancelled
So 1:4 will be the ratio.
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