Home
Class 11
PHYSICS
A cylinderical vessel is filled with wat...

A cylinderical vessel is filled with water up to height H. A hole is bored in the wall at a depth h from the free surface of water. For maximum range h is equal to

A

`H`

B

`3H//4`

C

`H//2`

D

`H//4`

Text Solution

Verified by Experts

The correct Answer is:
C

`x = 2sqrt(h(H - 1))`
for `x_(max) (dx)/(dh) = 0` or `h = (H)/(2)`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    RESONANCE|Exercise Exercise- 2 PART - I|18 Videos
  • FLUID MECHANICS

    RESONANCE|Exercise Exercise- 2 PART - II|9 Videos
  • FLUID MECHANICS

    RESONANCE|Exercise Exercise- 1 PART - II Section (B)|8 Videos
  • ELECTROSTATICS

    RESONANCE|Exercise Exercise|52 Videos
  • FULL TEST 1

    RESONANCE|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

A cylindrical vessel is filled with a liquid up to a height H. A small hole is made in the vessel at a distance y below the liquid surface as shown in figure. The liquid emerging from the hole strike the ground at distance x

A tank with vertical walls is mounted so that its base is at a height H above the horizontal ground. The tak is filled with water to a depth h . A hole is puched in the side wall of the tank at a depth x below the water surface. To have maximum range of the emerging stream, the value of x is

A tank with vertical walls is monted so that its base is at height of 1.2 m above the horizotnal ground. The tank is filled with water to depth 2.8 m. A holw is punched in the side wall of the tank at a depth x m below the surface of water to have maximum range of the emerging stream. then the value of x in metre is

A tank is filled with water to a height H. A hole is punched in the wall at a depth h below the water surface. Find the distance x from the wall at which the stream strikes the floor. Could a hole be punched at another depth so that this second stream would have the same range? If so at what depth? For what value of h is range maximum?

A tank is filled with water up to a height H . Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D .

A tank is filled to a height H. The range of water coming out of a hole which is a depth H//4 from the surface of water level is

A tank if filled with water upto height H. When a hole is made at a distance h below the level of water. What will be the horizontal range of water jet ?

A liquid of density rho is filled in a vessel up to height H and a hole of cross section area A is made at a depth h below the free surface of liquid. The speed of liquid coming out of the hole is independent of

A cylindrical vessel filled with water to a hight H. A vessel has two small holes in the side, from which water iins rushing out horizontal and the two steams stike the ground at the same poin, if the lower hole Q Q is h height above the ground, then the height of hole P above the ground will be

In a container, filled with water upto a height h, a hole is made in the bottom. The velocity of water flowing out of the hole is