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The bulk modulus of water is 2.0xx10^(9)...

The bulk modulus of water is `2.0xx10^(9) N//m^(2)`. The pressure required to increase the density of water by `0.1%` is

A

`2.0xx10^(3) N//m^(2)`

B

`2.0xx10^(6) N//m^(2)`

C

`2.0xx10^(5) N//m^(2)`

D

`2.0xx10^(7)N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`rho' = (rho) /(1-(dp)/(B)) ~~rho(1+(dp)/(B))`
`Deltarho=rho' -rho =(rho(dp))/(B)` `…(i)`
`(Deltarho)/(rho)xx100 =0.1`
`:. (Deltarho)/(rho) = 0.001`
From Eq. (i),
`dp or Deltap = B(Deltarho)/rho`
`= (2xx10^(9))(0.001)=2xx10^(6) N//m^(2)`
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