Mechanical Properties of Solids - Result Question 5

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

[2013]

(a) Length =100cm, diameter =1mm

(b) Length =200cm, diameter =2mm

(c) Length =300cm, diameter =3mm

(d) Length =50cm, diameter =0.5mm

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Answer:

Correct Answer: 6. (d)

Solution:

  1. (d) F=YAL×ΔL

So, extension, ΔLLALD2

[F and Y are constant ] ΔL110012100 and ΔL22002250

ΔL3300321003 and ΔL45014200

The ratio of LD2 is maximum for case (d).

Hence, option (d) is correct.



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