The dimensions of four wires of the same...

The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied ?

Length 100 cm, diameter 1 mm

Length 200 cm, diameter 2 mm

Length 300 cm, diameter 3 mm

Length 50 cm, diameter 0.5 mm.

Text Solution

Verified by Experts

The correct Answer is:

`Deltal=F/L.L/Y` For a given force and same material,
`DeltalpropL/ArArrDeltalpropL/(d^(2))`
Now `L/(d^(2))` is maximum when L = 50 cm and d = 0·5 mm in the given question.
So correct choice is (d).

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