Question

A container placed on a table has four holes as shown below; $X_A,X_B,X_{C}and{X}_D$represent the horizontal distances covered by the stream of liquid coming out from the holes $\text{A},\text{B},\text{C},$ and $\text{D}$ respectively. Which of the following options is correct?

• A. ${\text{X}}_{\text{A}}<{\text{X}}_{\text{B}}<{\text{X}}_{\text{C}}<{\text{X}}_{\text{D}}$
• B. $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})<{\text{X}}_{\text{C}}<{\text{X}}_{\text{D}}$
• C. ${\text{X}}_{\text{A}}>{\text{X}}_{\text{B}}>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$
• D. $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$

Answer 1

The correct option is D $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$

• The pressure exerted by a liquid depends on the depth of the liquid. As the depth increases, the pressure also increases.
• Also pressure exerted at a particular level is always the same. So the pressure at the hole A and B are equal and pressure at the hole C is less than A and B, but greater than hole D.
• The stream of liquid coming out from the hole having maximum pressure will cover more distance.
• So the relation between the distance covered by the fountains would be $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$.