A) 10 m
B) 20 m
C) 60 m
D) 30 m
Correct Answer: B
Solution :
The pressure of half depth \[={{p}_{0}}+\frac{h}{2}\rho g\] The pressure at bottom\[={{p}_{0}}+h\rho g\] According to question. \[{{p}_{0}}+\frac{h}{2}\rho g=\frac{2}{3}({{p}_{0}}+h\rho g)\] \[3{{p}_{0}}+\frac{3h}{2}\rho g=2{{p}_{0}}+2h\rho g\] \[h=\frac{2{{p}_{0}}}{\rho g}=\frac{2\times {{10}^{5}}}{{{10}^{3}}\times 10}=20m\]
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