A cubical solid aluminum bulk   modulus = - V d P d V = 70   GPa block has an edge length of 1…

A cubical solid aluminum bulk modulus=-VdPdV=70 GPa block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration due to gravity to be 103 kg m-3 and 10 m s-2, respectively, the change in the edge length of the block in mm is ________.

Solution

B=P-dVV ⇒dVV=-PB ⇒3dℓℓ=PB

dℓ=-PBℓ3=103kgm3×10 ms2×5×10370×109×1 m3

dℓ=0.238×10-3

⇒dℓ=0.238 mm

=0.24

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Asked in: JEE Advanced 2020 (Paper 2)

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