Question
Physics Question on Fluid Mechanics
A cylindrical vessel, open at the top, contains 15 liters of water. Water drains out through a small opening at the bottom. 5 liters of water comes out in time t1, the next 5 litre in further time t2, and the last 5 litre in further time t3. then:
A
t1<t2<t3
B
t1>t2>t3
C
t1 = t2 = t3
D
t2>t1=t3
Answer
t1<t2<t3
Explanation
Solution
The correct option is: (A): t1<t2<t3.
The speed at which water exits is directly proportional to the decreasing water level over time. Thus, we have t₁ < t₂ < t₃ as time progresses and water level declines.