Home
Class 11
PHYSICS
A lawn sprinkler has 20 holes, each of c...

A lawn sprinkler has `20` holes, each of cross-sectional area `2.0 xx 10^(-2) cm^(2)`, and is connected to a hose pipe of cross sectional area `2.4 cm^(2)`. If the speed of water in the hose pipe is `1.5 ms^(-1)`, the speed of water as it emerges from the holes is

Text Solution

Verified by Experts

D =Diameter of hose = 3 cm
d=Diameter of each hole = 0.12 cm
n = 20
V = 1000 cm/s
V = ?
According to equation of continuity
Amount of water crossing hole/sec.
= amount of water leaving through holes of sprinkler `(pi D^(2))/(4) .V =n. (pi d^(2))/(4) .v`
`V=. d^(2)/4 . (v xx 4)/D^(2)`
`=(nvd^(2))/(D^(2))=(20 xx 1000 xx (0.12)^(2))/((3)^(2))`
=32 cm/sec.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Revision Exercise (Very Short Answer Questions)|54 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Revision Exercise (Additional Questions)|3 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise NCERT (Short Answer Type Questions)|5 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (10)|12 Videos

  • MOTION IN A PLANE

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

Similar Questions

Explore conceptually related problems

A shower head having 20 holes each of 0.1 cm in diameter is connected to a water pipe having an internal diameter of 1.8 cm. The speed of water flowing in the pipe is 108 cms ""^(-1) . Calculate the speed of water leaving the shower head holes.

How many litres of water flow out of a pipe having an area of cross-section of 5cm^(2) in one minute,if the speed of water in the pipe is 30cm/sec ?

Knowledge Check

  • A horizontal pipe of cross-section diameter 5cm carries water at a speed of 4ms^(-1) . The pipe is connected to a smaller pipe with a cross-sectional diameter 4cm. The velocity of water through the smaller pipe is

    A
    `6.25 ms^(-1)`
    B
    `5.0 ms^(-1)`
    C
    `3.2 ms^(-1)`
    D
    `2.56 ms^(-1)`

  • Water is flowign through a cylindrical pipe of cross section area 0.09 pi m^(2) at a speed of 1.0 m/s. If the diameter of the pipe is halved, then find the speed of flow of water through it

    A
    8.0 m/s
    B
    `3.0 m//s^`
    C
    `4.0 m//s^`
    D
    `6.0 m//s`

  • The cylindrical tube of spray pump has a cross- section of 8 cm^(2) one end of which has 40 fine holes each of area 10^(-8) m^(2) . IF the liquid flows inside the tube with a speed of 0.15 m min ^(-1) . The speed with which the liquyid is ejected through the holes is

    A
    `50 ms^(-1)`
    B
    `5 m s^(-1)`
    C
    ` 0.05 ms^(-1)`
    D
    ` 0.5 m s^(-1)`

    • Similar Questions

    Explore conceptually related problems

    How many litres of water flow out of a pipe having an area of cross-section of 5 cm^(2) in one minute, if the speed of water in the pipe is 30 cm/sec ?

    Water is flowing though a cylindrical pipe of cross -sectional area 0.04 pi m^(2) at a speed of 1.0 ms ^(-1) If the diameter of the pipe is halved ,then find the speed of flow of water through it .

    Internal cross sectional area of a pipe is 100cm^(2). How much water can be contained in 10 m length of the pipe.

    A gardener holds a pipe of inside cross-sectional area 3.60 cm^(2) at a height of 1.50 m from ground. The opening at the nozzle of pipe has cross-sectional area 0.250 cm^(2) . Water velocity in the segment of the hose that lies on the ground is 50.0 cm//s . a. What is the velocity of water leaving the nozzle? b. What is the thrust force experienced by the gardener due to flow of water through nozzle. c. What is the water pressure in the hose on the ground?

    The cylindrical tube of a spray pump has a cross-section of 8 cm^2 , one end of which has 40 fine holes each of area 10^-8 m^2 . If the liquid flows inside the tube with a speed of 0.15 m min^-1 , the speed with which the liquid is ejected through the holes is.

    Home
    Profile