Question

A wire of initial length I and radius r is stretched by a length L. Another wire of same material but with initial length 2l and radius 2r is stretched by a length 2l. The ratio of the stored elastic energy per unit volume in the first and second is​

Answer 1

Answer:

1:1

Elastic energy per unit volume of wire

μ= 21 ×Y×(Strain) 2

∴ μ 2

μ

1 ={ (Strain) 2(Strain) 1}2

= L 2l 2 × 4l 2 4L 2=1:1

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Answer 2

Answer:

A wire of initial length I and radius r is stretched by a length L. Another wire of same material but with initial length 2l and radius 2r is stretched by a length 2l. The ratio of the stored elastic energy per unit volume in the first and second is

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