$Assertion$ : Specific gravity of a fluid is a dimensionless quantity.
$Reason$ : It is the ratio of density of fluid to the density of water at $4^{\circ}C$.

  • A
    If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.
  • B
    If both $Assertion$ and $Reason$ are correct but $Reason$ is not a correct explanation of the $Assertion$.
  • C
    If the $Assertion$ is correct but $Reason$ is incorrect.
  • D
    If both the $Assertion$ and $Reason$ are incorrect.

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Select the wrong statement about pressure.

The 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 a vertical line,and points $B$ and $D$ lie on a horizontal line. Which of the following statements is incorrect? (Here,$p_A, p_B, p_C, p_D$ are the absolute pressures at the respective points.)

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The pressure at half the depth of a lake is equal to two-third pressure at the bottom of the lake. So the depth '$h$' of the lake is ($\rho$ = density of water in the lake, $g$ = acceleration due to gravity, $P_0$ = atmospheric pressure).

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