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The following four wires are made of sam...

The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

A

Length `= 50 cm`, diameter `=0.5 mm`

B

Length `= 100 cm`, diameter `=1mm`

C

Length `= 200 cm`, diameter `= 2mm`

D

Length `= 300 cm`, diameter `= 3mm`

Text Solution

Verified by Experts

The correct Answer is:
a
As `gamma = (F xx L)/(Delta L xx A) = (mg.l)/(Delta L.A)`
or `Delta L = (mgL)/(4.A)`
`rArr Delta L prop (L)/(A)`, which is maximum for option (a).
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