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

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

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Correct answer: D. 1: 1

Elastic energy per unit volume of wire. = 1 2 Young's modulus ( Strain )² u₁ u₂ = ( Strain )₁ ( Strain )₂ ²= l² L² 4 L² 4 l² =1: 1

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

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