A) \[\frac{{{d}_{0}}}{d}\]
B) \[\frac{d{{d}_{0}}}{d+{{d}_{0}}}\]
C) \[\frac{d-{{d}_{0}}}{d}\]
D) \[\frac{d{{d}_{0}}}{d-{{d}_{0}}}\]
Correct Answer: C
Solution :
For the floatation\[{{V}_{0}}{{d}_{0}}g={{V}_{in}}dg\] \[\Rightarrow \] \[{{V}_{in}}={{V}_{0}}\frac{{{d}_{0}}}{d}\] \[\therefore \] \[{{V}_{out}}={{V}_{0}}-{{V}_{in}}={{V}_{0}}-{{V}_{0}}\frac{{{d}_{0}}}{d}\] \[={{V}_{0}}\left[ \frac{d-{{d}_{0}}}{d} \right]\] \[\Rightarrow \] \[\frac{{{V}_{out}}}{{{V}_{0}}}=\frac{d-{{d}_{0}}}{d}\]
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