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  4. Two wires A and B are of the same materials. Their lengths are in the ratio 1:2 and diameters are in the ratio 2:1 . When stretched by force FA and FB respectively, they get an equal increase in their lengths. Then the ratio (FA/FB) should be

Q. Two wires and are of the same materials. Their lengths are in the ratio and diameters are in the ratio . When stretched by force and respectively, they get an equal increase in their lengths. Then the ratio should be

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Solution:

Force
Substituting area
So, we have

Hence, using equation (i), we have
...(i)
...(ii)
Form equations (i) and (ii), we get

As
Therefore
Putting
And
We get

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