Question

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 (1) t1=t2=t3
(2)t1

Answer 1

The time will increase as the height of water decreases and its order will be t1 < t2 < t3

Explanation:

• According to torricelli's theorem:
• We know that the velocity of efflux is given by
• Efflux velocity = √  2gh
• The velocity doesn't depend on height.
• As the height decreases the velocity of efflux also decreases.
• The time will also increase as the water comes out of the drain.
• The time order will be such that t1 < t2 < t3
• Thus the time will increase as the height of water decreases and its order will be t1 < t2 < t3