$1\, m^3$ of water is brought inside a lake up to a depth of $200\, m$ from the surface. What will be the change in volume if the bulk modulus of elasticity of water is $22000\, \text{atm}$? (Given: density of water $\rho = 1\times10^3\, kg/m^3$, atmospheric pressure $P_0 = 10^5\, N/m^2$, and $g = 10\, m/s^2$)

  • A
    $8.9\times10^{-3}\, m^3$
  • B
    $7.8\times10^{-3}\, m^3$
  • C
    $9.1\times10^{-4}\, m^3$
  • D
    $8.7\times10^{-4}\, m^3$

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