Bulk modulus for rubber is `9.8xx10^(8)Nm^(-2)`. To what depth should a rubber ball be taken in a lake so that its volume is decreased by `0.1%`

Options

A. `0.1m`
B. `1m`
C. `10m`
D. `100m`

Answer

D

Explanation

`B = (Delta P)/((Delta V//V)) rArr Delta P = B xx (Delta V)/(V)`
`rArr Delta P = 9.8xx10^(8) xx10^(-3) = 9.8xx10^(5) Nm^(-2)`
`Delta P = rho gh`
`h = (Delta P)/(rho g) = (9.8xx10^(5))/(10^(3)xx9.8) rArr h = 10^(2) m = 100m`