Question

A container is placed on a table has four holes. The $\text{X}_\text{A}, \text{X}_\text{B}, \text{X}_\text{C}$ and $\text{X}_\text{D}$ represent the horizontal distances covered by the 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.
• 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 fountain coming out from the hole having maximum pressure will cover more distance.

So the relation between the distance covered by the fountains would be $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$.