$A$ tall tank filled with water has an irregular shape as shown. The wall $CD$ makes an angle of $45^{\circ}$ with the horizontal,the wall $AB$ is normal to the base $BC$. The lengths $AB$ and $CD$ are much smaller than the height $h$ of water (figure not to scale). Let $p_1, p_2$ and $p_3$ be the pressures exerted by the water on the wall $AB$,base $BC$ and the wall $CD$ respectively. Density of water is $\rho$ and $g$ is acceleration due to gravity. Then,approximately

  • A
    $p_1=p_2=p_3$
  • B
    $p_1=0, p_3=\frac{1}{\sqrt{2}} p_2$
  • C
    $p_1=p_3=\frac{1}{\sqrt{2}} p_2$
  • D
    $p_1=p_3=0, p_2=h \rho g$

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