A vessel of depth 2h is half filled with a liquid of  refractive index $2\sqrt{2}$ and the upper half with another liquid of refractive index  $\sqrt{2}$. The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be :

• A

  $\frac{h}{\sqrt{2}}$

• B

  $\frac{h}{3\sqrt{2}}$

• C

  $\frac{h}{2\left(\sqrt{2}+1\right)}$

• D

  $\frac{3}{4}h\sqrt{2}$