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Q.

A vessel open at top contains 50 litres of water. A small opening is made at the bottom of vessel. It is observed that 3 litres of water comes out in time t1, the next 3 litres in a further time t2 and the next 3 litres in further time t3, then:

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a

t1 = t2 = t3

b

t1 < t2 < t3

c

t1 > t2 > t3

d

t1= t2 < t3

answer is B.

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Detailed Solution

As level of water in vessel decrease its velocity decreases. So for same volume of liquid time increases.
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A vessel open at top contains 50 litres of water. A small opening is made at the bottom of vessel. It is observed that 3 litres of water comes out in time t1, the next 3 litres in a further time t2 and the next 3 litres in further time t3, then: