Home
Class 11
PHYSICS
There is a small hole at the bottom of t...

There is a small hole at the bottom of tank filled with water. If total pressure at the bottom is `3 atm(1 atm=10^(5)Nm^(-2))`, then find the velocity of water flowing from hole.

A

`sqrt(400)m//s`

B

`sqrt(600)m//s`

C

`sqrt(60)m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

Pressure at the bottom of tank `P= h rho g = 3 xx 10^(5)(N)/(m^2)`
and velocity of water `v = sqrt(2gh)`
`:.v=sqrt((2p)/(rho)) = sqrt((2xx3xx10^(5))/(10^(3))) = sqrt(600)m//s`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FLUID MECHANICS

    A2Z|Exercise Problems Based On Mixed Concepts|29 Videos
  • FLUID MECHANICS

    A2Z|Exercise Assertion Reasoning|15 Videos
  • FLUID MECHANICS

    A2Z|Exercise Continuity Equation And Bernoulli'S Theorem|32 Videos
  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting the viscosity, find the velocity of the water flow, if the thickness of the water layer is equal to h_1=30cm and that of the keroscene layer to h_2=20cm .

A wide vessel with a small hole in the bottom is filled with water and kerosene. Find the velocity of water flow if the thickness of water layer is h_(1)=30 cm and that of kerosene is h_(2)=20cm brgt

Knowledge Check

  • A hole is made at the bottom of the tank filled with water (density =1000 kgm^(-3)) . If the total pressure at the bottom of the tank is three atmospheres (1 atmosphere =10^(5) Nm^(-2)) , then the velocity of efflux is nearest to

    A
    `sqrt(400) ms^(-1)`
    B
    `sqrt(200) ms^(-1)`
    C
    `sqrt(600) ms^(-1)`
    D
    `sqrt(500) ms^(-1)`
  • 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

    A
    proportional to h
    B
    proportional to `h^(1//2)`
    C
    proportional to `h^2`
    D
    independent of h
  • There is a hole h metre from its top of a tank filled with water. Calculate the distance x where the stream of water will touch the ground from the bottom (in m).

    A
    `2sqrt(h(H - h))`
    B
    `2sqrt(g(H - h))`
    C
    `sqrt(2hH)`
    D
    `sqrt(2gH)`
  • Similar Questions

    Explore conceptually related problems

    A cylindrical tank of cross sectional area a_(1) is filled with water to a height h. A hole of cross sectional area a_(2) is made at the bottom. If a_(1)=5a_(2) , then find the (i) initial velocity with which the water falls in tank. (ii) initial velocity with which water emerges out from hole. (iii) time taken to make the tank empty.

    A large tank having a small hole at the bottom is filled with water to a height h. If the stream of water coming out of the hole is directed vertically upwards it will :

    There is a hole at the side-bottom of a big water tank. The area of the hole is 4mm^(2) to it a pipe is connected. The upper surface of water is 5 m above the hole. The rate of flow of water through the pipe is (in m^(3)s^(-1))(g=10ms^(-2))

    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 vessel has a small hole at its bottom. If water can be poured into it upto a height of 7 cm without leakage (g=10ms^(-2) ) the radius of the hole is (surface tension of water is 0.7Nm^(-1) )