Question:

The velocity of efflux of a liquid through an orific in the bottom of the tank does not depend upon

Updated On: Jun 24, 2024
  • size of orific
  • height of liquid
  • acceleration due to gravity
  • density of liquid
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The Correct Option is D

Solution and Explanation

The correct option is (D): density of liquid.
\(P _{ o }+\frac{1}{2} \rho_{\text {bottom }} v ^{2}= P _{ o }+\rho_{\text {liquid }} g h\) 
Velocity of efflux is independent of the size of orifice. 
The density of the fluid is actually varying with depth for large heights. 
In such scenarios, velocity of efflux depends on the density of the liquid.
The velocity of efflux of a liquid through an orific
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Concepts Used:

Bernauli Theorem

In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy. The principle is named after Daniel Bernoulli who published it in his book Hydrodynamica in 1738.

Bernaulli's Theorem