A ball falling in a lake of depth `200 m` shows a decrease of `0.1% ` in its volume at the bottom. The bulk modulus of elasticity of the material of the ball is (take `g = 10 ms^(-2)`)

Options

A. `19.6xx10^8(N)/(m^2)`
B. `19.6xx10^-10(N)/(m^2)`
C. `10.6xx10^10(N)/(m^2)`
D. `19.6xx10^-8(N)/(m^2)`

Answer

A

Explanation

`B=(trianglep)/((triangleV)/(V))=(hrhog)/((0.1)/(100))=(200xx10^3xx9.8)/((1)/(1000))`
`=19.6xx10^8(N)/(m^2)`