Home
Class 11
PHYSICS
A rectangular vessel when full of water ...

A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water

A

9 min

B

7 min

C

5 min

D

3 min

Text Solution

Verified by Experts

The correct Answer is:
B

`t=(A)/(A_(0))sqrt((2H)/(g))`
`therefore (t_(1))/(t_(2))=sqrt((H_(1))/(H_(2)))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (H.W) (EXCESS PRESSURE IN A LIQUID DROP AND IN A SOAP BUBBLE|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

It is known that it takes five minutes to empty a rectangular vessel when filled one-third of its volume with kerosene through an orifice in its bottom. Now, find the time taken in minutes for emptying vessel when it is completely filled with kerosene: (Take sqrt(3) = 1.73 )

A hemispherical tank full of water is emptied by a pipe at the rate of (25)/(7) litres per second. How much time will it take to empty half the tank,if it is 3m in diameter?

Knowledge Check

  • Bacterial cell divides every one minute. It takes 15 minutes a cup to be one-fourth full. How much time will it take to fill the cup ?

    A
    30 minutes
    B
    45 minutes
    C
    60 minutes
    D
    17 minutes
  • One tap can fill a water tank in 50 minutes the filled tank empty in 75 minutes.If both the tap are open together,already half fille tank would be full in

    A
    60 minutes
    B
    75 minutes
    C
    125 minutes
    D
    150 minutes
  • A tank can be filled by pipe A in 5 hours and emptied by pipe B in 8 hours respectively. How much time will it take for the tank to be half full?

    A
    `3 1/3 h`
    B
    `8 2/3 h`
    C
    `12 1/3 h`
    D
    `6 2/3 h`
  • Similar Questions

    Explore conceptually related problems

    A cylindrical tank full of water is emptied by a pipe at the rate of 225 litres per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m? [Use pi=22//7 ]

    A hemispherical tank of radius 1.75 m is full of water. It is connected with a pipe which empties it at the rate of 7 litres per second. How much time will it take to empty the tank completely?

    A hemispherical tank full of water is emptied by a pipe at the rate of 3 4/7 litres per second. How much time will it take to make the tank half-empty, if the tank is 3 m in diameter?

    A pipe normally takes 4 min to fill a bucket. Due to a hole in the bucket, it takes 6 min. In how much time will the hole empty the full bucket?

    A tank can be filled in 9 hours. Because of a leak, it takes 10 hours to fill. In how much time will the leak alone empty the full tank ?