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To what depth must a rubber ball be take...

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1 %.
(Take, density of sea water `=10^(3) kg m^(-3)`, bulk modulus of rubber `= 9 x 10^(8) N m^(-2),g= 10 m s^(-2)`)

Text Solution

Verified by Experts

`K=((/_\P)V)/(/_\V)` or `(K/_\V)/V`
Let `h` be the required depth and the desity of water be `rho`.
Then
`hrhog=(K/_\V)/V`
or `h=(K/_\V)/(rhogV)=(9.8xx10^(8)xx0.1)/(10^(3)xx9.8xx100)=100m`
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