Figure shows a container filled with a liquid of density $\rho$. Four points $A, B, C$ and $D$ lie on the diametrically opposite points of a circle as shown. Points $A$ and $C$ lie on vertical line and points $B$ and $D$ lie on horizontal line. The incorrect statement is $\left(p_A, p_B, p_C, p_D\right.$ are absolute pressure at the respective points)
Diffcult
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(c)

Points at same height have same pressure, points with height difference say ' $h$ ' will have difference of $\rho g h$.

Let radius of circle is $r$

$p_A=p_0+h \rho g$

$p_B=p_D=p_0+(h+r) \rho g$

$p_C=p_0+(h+2 r) \rho g$

Then,

$p_C+p_A=\left[p_0+(h+2 r) \rho g\right]-\left[p_0+h \rho g\right]$

$=p_0+h \rho g+2 r \rho g+p_0+h \rho g$

$=2\left[p_0+(h+r) \rho g\right]$

$\frac{p_C+p_A}{2}=p_0+(h+r) \rho g$

$\frac{p_C+p_A}{2}=p_B=p_D$

i.e., option $(a), (b)$ and $(d)$ gives correct statement but incorrect statement is $(c)$

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