Home
Class 11
PHYSICS
A large tank is filled with water ("dens...

A large tank is filled with water `("density" = 10^(3)kg//m^(3))`. A small hole is made at a depth 10m below water surface. The range of water issuing out of the hole Is R on ground. What extra pressure must be applied on the water surface so that the range becomes 2R `("take" 1 atm = 10^(5) Pa " and " g=10m//s^(2))` :

A

9 atm

B

4 atm

C

5 atm

D

3 atm

Text Solution

Verified by Experts

The correct Answer is:
D
`P=(F)/(A)=(2A rhov^(2))/(A)=2rhov^(2), R=vsqrt((2h)/(g)), R prop v, P prop v^(2), P prop R^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (H.W) (COEFFICIENT OF VISCOSITY & VISCOUS FORCE)|2 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (H.W) (POISEUILLE.S EQUATION)|6 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (H.W) (EQUATION OF CONTINUITY, BERNOULLI.S THEOREM AND ITS APPLICATIONS)|5 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

The range of water flowing out of a small hole made at a depth 10 m below water surface in a large tank is R . Find the extra pressure (in atm) applied on the water surface so that range becomes 2R . Take 1atm=10^(5)Pa .

A tank is filled by water ( rho = 10^3 kg//m^3 ). A small hole is made in the side wall of the tank at depth 10 m below water surface. A water jet emerges horizontal from the hole and falls at horizontal distance R from it. The amount of extra pressure (in terms of atmospheric pressure) that must be applied on the water surface, so that range becomes 3R on the on the ground will be (cross section area of hole is negligible and 1 atm = 105 Pa, g = 10 m/ s^2 )

Knowledge Check

  • A large tank is filled waith water (density = 10^(3) kg//m^(3) ). A small hole is made at a depth 10 m below water surface. The range of water issuing out of the hole is R on ground. Approximately what extra pressure must be applied on the water surface so that the range becomes 2R (take 1 atm = 10^(5) Pa and g = 10 m//s^(2) )

    A
    9 atm
    B
    4 atm
    C
    5 atm
    D
    3 atm

  • A tank is filled with water of density 10^(3)kg//m^(3) and oil of density 9xx10^(3)kg//m^(3) .The height of water layer is 1 m and that of the oil layer is 4 M . The velocity of efflux front an opening in the bottom of the tank is

    A
    `sqrt(85)m//s`
    B
    `sqrt(88)m//s`
    C
    `sqrt(92)m//s`
    D
    `sqrt(98)m//s`

  • 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
    `(2H)/(sqrt(3))`
    B
    `(sqrt(3)H)/(2)`
    C
    `sqrt(3)H`
    D
    `(3H)/(4)`

    • Similar Questions

    Explore conceptually related problems

    In a vessel of water a hole is made at a depth of 3.5 m from the free surface. What would be the velocity of efflux ?

    In a vessel containing water, a hole is made at a depth of 0.10 m from the free surface. What would be the velocity of efflux ?

    The height of the water in a tank is H. The range of the liquid emerging out from a hole in the wall of the tank at a depth (3H)/4 from the upper surface of water, will be

    A small air bubble of radius 0.1mm is situated at a depth of 20 m below the free surface of water . The external pressure on the bubble will be (Atm. Pressure = 10^5N//m^2,g=10m//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) )

    Home
    Profile