Home
Class 11
PHYSICS
A cylinderical tank 1 m in radius rests ...


A cylinderical tank 1 m in radius rests on a plaform 5 m high. Initially the tank is filled with upto a height of 5m a plug whose area is `10^(-4)cm^(2)` is removed from an orifice on the side of the tank at the bottom.
Calculate (a). Initial speed with which the water flows from the orifice
(b). Initial speed with which the water strikes the ground.

A

10

B

5

C

`5.sqrt(2)`

D

`10. sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`v=sqrt(2gh)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

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

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (POISEUILLE.S EQUATION)|5 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (EQUATION OF CONTINUITY, BERNOULLI.S THEOREM AND APPLICATIONS)|6 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

A cylinderical tank 1 m in radius rests on a platform 5m high. Initially the tank is filled with water upto a height of 5m. A plug whose area is 10^(-4)m^(2) is removed from an orifice on the side of the tank at the bottom. Calculate (a) Initial speed with which the water flows from the orifice (b) initial speed with which the water strikes the ground (c ) the time taken to empty the tank to half its original value. g = 10ms^(-2) .

A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3 m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kl?

Knowledge Check

  • 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) )

    A
    `50 m^(2)//s^(2)`
    B
    `40 m^(2)//s^(2)`
    C
    `51.5 m^(2)//s^(2)`
    D
    `50.5m^(2)//s^(2)`

  • A large tank is filled with water to a depth of 15 m . A spout located 10.0 m above the bottom of the tank is then opened as shown in the figure . With what speed will water emerge from the spout ?

    A
    3.1 m/s
    B
    9.9 m/s
    C
    14 m/s
    D
    17 m/s

  • A rectangular tank is placed on a horizontal ground and is filled with water to a height H above the base. A small hole is made on one vertical side at a depth D below the level of the water in the tank. The distance x from the bottom of the tank at which the water jet from the tank will hit the ground is

    A
    `2sqrt(D(H-D))`
    B
    `2sqrt(DH)`
    C
    `2sqrt(D(H+D))`
    D
    `(1)/(2)sqrt(DH)`

    • Similar Questions

    Explore conceptually related problems

    A water tank is placed on a platform of height 5 m high and there is an orifice near the bottom in the wall of tank at 5 m below the level of water. Find the speed with which water will hit the ground [Take g = 10 m/ s^(2) ]

    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.

    Calculate the velocity with which water emerges from an orifice in a tank if the gauge pressure is 2 xx 10^5 N/m before the flow starts.

    A cylindrical tank of height 2 m is open at the top and has a radius 50 cm. Water is filled in it upto a height 1.75 m. Calculate how long it will take to empty the tank through a hole of radius 0.05 cm in its bottom.

    The water level on a tank is 5m high. There is a hole of 1 cm^(2) cross-section at the bottom of the tank. Find the initial rate with which water will leak through the hole. ( g= 10ms^(-2) )

    Home
    Profile