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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)))`
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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`
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