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The following four wires are made of the...

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

A

(a) length=50cm, diameter=0.5mm

B

(b) length=100cm, diameter=1mm

C

(c) length=200cm, diameter=2mm

D

(d) length=300cm, diameter=3mm

Text Solution

Verified by Experts

The correct Answer is:
A

`Y=(T//A)/(Deltal//l)impliesDeltal=(Txxl)/(AxxY)=T/Yxxl/A`
Here, `T/Y` is constant. Therefore, `Deltalpropl/A`.
`l/A` is largest in the first case.
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