The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 xx 10 ^(-11) Pa ^(-1)and density of water is 10 ^(3) kg//m^(3).What fractional compression (Delta V)/(V) of water will be obtained at the bottom of the ocean? (Take g = 10 ms ^(-2))

The approximate depth of an ocean is 2700 m. The compressibility of wa

1.	The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 xx 10 ^(-11) Pa ^(-1)and density of water is 10 ^(3) kg//m^(3).What fractional compression (Delta V)/(V) of water will be obtained at the bottom of the ocean? (Take g = 10 ms ^(-2))
Answer» `1.2 xx 10 ^(-2)` `1.4 xx 10 ^(-2)` `0.8 xx 10 ^(-2)` `1.0 xx 10 ^(-2)` Solution :The excess pressure at the bottom of ocean `Delta P = h rho G` `= 2700 xx 10 ^(3) xx 10 ` `= 27 xx 10 ^(6) Pa` Bulk modulus `B = \| (Delta P )/((Delta V )/(V ))\|` `therefore (Delta V)/(V) = (Delta P)/(B)` `= Delta PK[because (1)/(B) =K]` `=45.4 xx 10 ^(-11) xx 27 xx 10 ^(6)` `=1225.8 xx 10 ^(-5)` `~~1.2 xx 10 ^(-2)`