A vertical cylindrical vessel contains a half litre of water having column height of 60 cm. If the density and bulk modulus of water are 103 kg m-3 and 2 × 109 N m-2 respectively, then the elastic deformation potential energy (approximately) of water, is
A vertical cylindrical vessel contains a half litre of water having column height of 60 cm. If the density and bulk modulus of water are 103 kg m-3 and 2 × 109 N m-2 respectively, then the elastic deformation potential energy (approximately) of water, is
Option 1 -
1.8 μJ
Option 2 -
1.5 μJ
Option 3 -
2.1 μJ
Option 4 -
2.4 μJ
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:Deformation energy per unit volume,
U = ∫dU = ∫ (p²/2B)Ady
= ∫ (ρ²g²y/2B)Ady
U = (ρ²g²h³/2B) (A/3)
= (ρ²g²h²/6B) (volume)
= 1.5 μJ
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