Home
Class 11
PHYSICS
Water is filled in a container upto heig...

Water is filled in a container upto height 3m. A small hole of area 'a' is punched in the wall of the container at a height 52.5 cm from the bottom. The cross sectional area of the container is A. If `a//A=0.1` then `v^2` is (where v is the velocity of water coming out of the hole)

A

`50`

B

`51`

C

`48`

D

`51.5`

Text Solution

Verified by Experts

The correct Answer is:
A
Apply continuity equation `A_(1)V_(1) = A_(2)V_(2)` and Bernuli theorum `(P_(0))/(rho) + (v^(2))/(2) + gh = "constant"` (at the top and at the hole)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FLUID MECHANICS

    RESONANCE|Exercise Exercise- 3 PART - II|5 Videos

  • FLUID MECHANICS

    RESONANCE|Exercise Advanced Level Problems|8 Videos

  • FLUID MECHANICS

    RESONANCE|Exercise Exercise- 2 PART - IV|10 Videos

  • ELECTROSTATICS

    RESONANCE|Exercise Exercise|52 Videos

  • FULL TEST 1

    RESONANCE|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

Water is filled to a height in a long container. From what height below the free surface a hole should be bored in the wall of a container so that the horizontal range is maximum?

The level of water in a tank is 5m high.A hole of area 1cm^2 is made in the bottom of the tank. The rate of leakage of water from the hole is (g=10ms^(-2)

Knowledge Check

  • Oil is filled in a cylindrical container up to height 4m. A small hole of area 'p' is punched in the wall of the container at a height 1.52m from the bottom. The cross sectional area of the container is Q. If p/q = 0.1 then v is (where vis the velocity of oil coming out of the hole)

    A
    `5 sqrt2`
    B
    `6sqrt3`
    C
    `8sqrt2`
    D
    `7sqrt5`

  • A liquid is filled in a container to a height H. A small hole is opened in the side of the container a height h below the surface of the liquid. The distance L from the bottom of the container of the point where the stream of liquid leaving the container meets the ground is :

    A
    `2sqrt(h(H-h))`
    B
    `sqrt(h(H-h))`
    C
    `2sqrt((h^(2))/(H-h))`
    D
    `sqrt((h^(2))/(H-h))`

  • A hole is made in the bottom of a container having water filled up to a height h. The velocity of water flowing out of the hole is :

    A
    independent of h .
    B
    proportional to `h^(1//2)`
    C
    proportional to h
    D
    proportional to `h^(2)`

    • Similar Questions

    Explore conceptually related problems

    Water is filled in a cylindrical container to a height of 3m . The ratio of the cross-sectional area of the orifice and the beaker is 0.1 . The square of the speed of the liquid coming out from the orifice is (g=10m//s^(2)) .

    What is filled in a cylindrical container to a height of 3 m . The ratio of the cross-sectional area of the orifice and the beaker is 0.1 . The square of the speed of the liquid coming out from the orifice is (g = 10 m//s^2) .

    A cylindrical tank is filled with water to a level of 3m. A hole is opened at a height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. The square of the speed with which water is coming out from the orifice is (Take g= 10 m//s^(2) )

    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

    The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is

    Home
    Profile