1.

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 ?

Answer»

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.

Solution :`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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