The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, DeltaV//V, of water at the bottom of the ocean, given that the bulk modulus of water is 2.2xx10^(9)" N m"^(-2). (Take g=10" m s"^(-2))

The average depth of Indian Ocean is about 3000 m. Calculate the fract

1.	The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, DeltaV//V, of water at the bottom of the ocean, given that the bulk modulus of water is 2.2xx10^(9)" N m"^(-2). (Take g=10" m s"^(-2))
Answer» Solution :The pressure exerted by a 3000 m column of water on the bottom layer `p=hrho" g"=3000" m"xx1000" kg m"^(-3)xx10"m s"^(-2)` `=3xx10^(7)" kg m"^(-1)" s"^(-2)` `=3xx10^(7)"N m"^(-2)` FRACTIONAL COMPRESSION `DeltaV//V`, is `DeltaV//V=" stress/B"=(3xx10^(7)" N m"^(-2))//(2.2xx10^(9)" N m"^(-2))` `=1.36xx10^(-2)` or `1.36%`