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Question

A rectangular vessel when full of water, takes 10 min to be emptied through an orifice at its bottom. How much time will it take to be emptied when it is half filled ?

A
9 min
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B
7 min
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C
5 min
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D
3 min
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Solution

The correct option is B 7 min
Given, time taken to empty fully filled vessel, t1=10 min
To find: Time taken to empty half filled vessel, t2=?

We know, time taken to empty a tank is given by -
T=Aa2hg, where
A area of cross-section of tank
a area of cross-section of hole
h height of water in the tank

Th
So,
T1T2=h1h2
10 minT2=hh2
[ assumed, height of fully filled water to be h ]
T2=102=7 min

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