Four wires of same material are stretche...

Four wires of same material are stretched by the same load, which of them will elongate most?

A

Length 100 cm, diameter 1 mm

B

Length 200 cm, diameter 2 mm

C

Length 300 cm, diameter 3 mm

D

Length 400 cm, diameter 0.5 mm

Text Solution

Verified by Experts

The correct Answer is:

D

Elongation is given by
`DeltaL=FL//AY=(FL)/(pir^(2)Y)=(4FL)/(piD^(2))`
Putting values given in the option, we get maximum elongation corresponding to values L=400 cm d=0.5 mm.

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