1.

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is appliedA. Length `= 50cm`, diameter `= 0.5mm`B. Length `= 100cm`, diameter `= 1mm`C. Length `= 200cm`, diameter `= 2mm`D. Length `= 300cm`, diameter `= 3mm`

Answer» Correct Answer - A
`F = (AY)/(l).(Delta l), Delta l = (F l)/(A.Y)`
`A = (pi D^(2))/(4), :. Delta l alpha (L)/(D^(2))`
Now for case `(a), (L)/(D^(2)) = 2xx10^(4)`
Thus, `(L)/(D^(2))` is maximum is case (a).


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