# The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ? Option 1) length = 300 cm,    diameter = 3 mm Option 2) length = 50 cm,     diameter = 0.5 mm Option 3) length = 100 cm,    diameter = 1 mm Option 4) length = 200 cm,    diameter = 2 mm

$\Delta l=\frac{fl}{YA}$

$\Delta l \: is \:maximum\:when\:\frac{l}{A}\: is \:maximum.$

$or \frac{l}{d^{2}}\: is \: same$

Option 1)

length = 300 cm,    diameter = 3 mm

Option is incorrect

Option 2)

length = 50 cm,     diameter = 0.5 mm

Option is correct

Option 3)

length = 100 cm,    diameter = 1 mm

Option is incorrect

Option 4)

length = 200 cm,    diameter = 2 mm

Option is incorrect

ans;b

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