To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1% (The bulk modulus of rubber is 9.8 xx 10 ^(8) N//m^(2)and density of sea water is 10 ^(3) kgm^(-3))

To what depth must a rubber ball be taken in deep sea so that its volu

1.	To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1% (The bulk modulus of rubber is 9.8 xx 10 ^(8) N//m^(2)and density of sea water is 10 ^(3) kgm^(-3))
Answer» Solution :The percentage decrease in volume `(Delta V )/(V) XX 100 = 0.1` `therefore (Delta V)/(V) = (0.1)/(100)` Let the rubber BALL be taken up to depth h. `therefore` Bulk modulus `B = \| (P )/( Delta V //V )\| = (h rho g )/( Delta V //V)` `therefore h = ( B xx Delta V //V )/( rho g )` `therefore h = (9.8 xx 10^(8) xx 0.001)/( 10 ^(3) xx 9.8)` `therefore h = 100 m`