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Question

Physics Question on Bernauli Theorem

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

A

size of orific

B

height of liquid

C

acceleration due to gravity

D

density of liquid

Answer

density of liquid

Explanation

Solution

The correct option is (D): density of liquid.
Po+12ρbottom v2=Po+ρliquid ghP _{ 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