Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Fluid Mechanics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Fluid Mechanics
An open tank filled with a liquid has a small hole near its bottom....
An open tank filled with a liquid has a small hole near its bottom. The speed of the ejected liquid does not depend on the
Options
- Adensity of the liquid
- Bheight of the liquid from the hole
- Carea of the hole
- Dacceleration due to gravity
Correct answer
C. area of the hole
Step-by-step solution
According to Torricelli's law, the velocity of efflux of a liquid from a small hole at a depth below the free surface of the liquid in an open tank is given by .
From this expression, it is clear that the speed of the ejected liquid depends on the height of the liquid from the hole () and the acceleration due to gravity ().
The expression does not contain any term for the density of the liquid or the area of the hole (since the hole is considered small, the velocity of the free surface is negligible).
Therefore, the speed of the ejected liquid does not depend on the density of the liquid and the area of the hole.
From this expression, it is clear that the speed of the ejected liquid depends on the height of the liquid from the hole () and the acceleration due to gravity ().
The expression does not contain any term for the density of the liquid or the area of the hole (since the hole is considered small, the velocity of the free surface is negligible).
Therefore, the speed of the ejected liquid does not depend on the density of the liquid and the area of the hole.