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A cylinder of height 20m is completely f...

A cylinder of height 20m is completely filled with water. The velocity of effux of water `(in ms^(-1))` through a small hole on the side wall of the cylinder near its bottom is

A

10

B

20

C

25.5

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Applying the Bernoulli's theorem just inside and outside the hole. Take reference line for gravitational potential energy at the bottom of the vessel.

Let `p_(0)` is the atmospheric pressure, `rho` the density of liquid and v the velocity at which water is coming out.
`p("inside")+rhogh+0 p_("outside")+(rhov^(2))/(2)`
`implies" "p_(0)+rhogh=p_(0)+(rhov^(2))/(2)`
`"or" " "v=sqrt(2gh)=sqrt(2xx10xx20)=20ms^(-1)`
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Knowledge Check

  • A cylinder of height 20 m is completely filled with water. The velocity of efflux of water through a hole on the side wall of the cylinder near its bottom is (Take g=10 m s^(-2) )

    A
    `10 m s^(-1)`
    B
    `20 m s^(-1)`
    C
    `25.5 m s^(-1)`
    D
    `5 m s^(-1)`

  • A cylinder of height 1 m and radius 10 cm is fully filled with water, the volume of water is _____ m^(3) .

    A
    3.14
    B
    0.314
    C
    0.0314
    D
    314

  • A cylinder of height 1 m and radius 10 cm is fully filled with water, the volume of water is _____ m^(3) .

    A
    3.14
    B
    0.314
    C
    0.0314
    D
    314

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