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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:
A
Pressure at the bottom of tank `P = h rhog = 3 xx 10^(5)(N)/(m^2)`
Pressure due to liquid column
`P_(l) = 3 xx 10^(5)-1xx10^(5)=2xx10^(5)`
and velocity of water `v = sqrt(2gh)`
`:. V = sqrt((2P_(l))/(rho)) = sqrt((2xx2xx10^(5))/(10^3)) = sqrt(400)m//s`.
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Knowledge Check

  • There is a hole in the bottom of tank having water. If total pressure at bottom of the tank is 3 atm (1 atm = 10^5 Nm^(-2)) then the velocity of water flowing from the hole is

    A
    `sqrt(400)m//s`
    B
    `sqrt(600)m//s`
    C
    `sqrt(60)m//s`
    D
    None of these

  • 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