Question

There is a small hole at the bottom of a large open vessel. If water is filled up to a height $h$, velocity of water coming out of hole is $v$. Then velocity of water coming out of hole when water is filled to a height $4 h$ is (A) $4 v$ (B) $3 v$ (C) $2 \mathrm{v}$ (D) $y$

Name: Problem 28, Chapter 8: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-05T12:38:04-08:00
Duration: 1 min 8 s
Channel: Mahipal Kumawat
Description: There is a small hole at the bottom of a large open vessel. If water is filled up to a height h, velocity of water coming out of hole is v. Then velocity of water coming out of hole when water is filled to a height 4 h is (A) 4 v (B) 3 v (C) 2 v (D) y

   There is a small hole at the bottom of a large open vessel. If water is filled up to a height $h$, velocity of water coming out of hole is $v$. Then velocity of water coming out of hole when water is filled to a height $4 h$ is
(A) $4 v$
(B) $3 v$
(C) $2 \mathrm{v}$
(D) $y$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 8, Problem 28

Instant Answer

Solved by Expert Mahipal Kumawat

10/05/2021

Step 1

So, we have $v = \sqrt{2gh}$. Show more…

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There is a small hole at the bottom of a large open vessel. If water is filled up to a height $h$, velocity of water coming out of hole is $v$. Then velocity of water coming out of hole when water is filled to a height $4 h$ is (A) $4 v$ (B) $3 v$ (C) $2 \mathrm{v}$ (D) $y$

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Key Concepts

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the force of gravity. It increases linearly with depth and serves as the driving force that acts on the fluid to produce flow through an opening. Understanding hydrostatic pressure is key to analyzing scenarios where fluid height influences the behavior of the flow.

Torricelli's Law

Torricelli’s Law states that the speed at which fluid exits an orifice under gravity is proportional to the square root of the vertical distance (or height) of the fluid above the opening, mathematically expressed as v = ?(2gh). This concept is fundamental in fluid dynamics and demonstrates how the exit velocity changes with varying fluid heights.

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