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. `10^(9) Nm^(-2)`
B. `2 xx 10^(9) Nm^(-2)`
C. `3 xx 10^(9) Nm^(-2)`
D. `4 xx 10^(9) Nm^(-2)`

Answer

b

Explanation

As `Delta p = h rho g = 200 xx 10^(3) xx 10 Nm^(-2) = 2 xx 10^(6) Nm^(-2)`
`:. B = (Delta p)/((Delta V)/(V)) = (2 xx 10^(6))/((0.1)/(100)) = (2 xx 10^(8))/(0.1) Nm^(-2)`
`= 2 xx 10^(9) Nm^(-2)`