Answer :

Given, Cross-section of the tank,

Cross-section of the hole,


Height of the water,


Pressure at the open surface and at the hole is atmospheric pressure .


The acceleration due to gravity is .


(a)the velocity of water exiting at a is given by




(b) the speed at half of the tank’s capacity would be



(c) The volume flow is given by


Therefore, —————(1)


Let the velocity be v, the area be A.




Taking derivative,


—————(2)


Equating (1) and (2)





(d)Integrating,





Solving for t, we get,



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The weight of an HC Verma - Concepts of Physics Part 1

A solid float in HC Verma - Concepts of Physics Part 1

(a) PressurPhysics - Exemplar

An ideal fluid flPhysics - Exemplar

Streamline flow iPhysics - Exemplar

If water be used HC Verma - Concepts of Physics Part 1

Find the force exHC Verma - Concepts of Physics Part 1

Suppose the glassHC Verma - Concepts of Physics Part 1

Water level is maHC Verma - Concepts of Physics Part 1

At Deoprayag (GarHC Verma - Concepts of Physics Part 1