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

 

Answers (2)

\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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