A cylindrical vessel, open at the top, contains 15 litres of water. Water drains out through a small opening at the bottom. 5 litre of water comes out in time $t_1$, the next 5 litre in further time $t_2$, and the last 5 litre in further time $t_3$, Then

• Correct answer
  A

  $\mathrm{t}_1 < \mathrm{t}_2 < \mathrm{t}_3$
• B

  $t_1>t_2>t_3$
• C

  $\mathrm{t}_1=\mathrm{t}_2=\mathrm{t}_3$
• D

  $t_2>t_1=t_3$

Solution

The velocity in which water is coming out is proportional to the height of water as time increase, water level decreases. $$ \therefore \mathrm{t}_1 < \mathrm{t}_2 < \mathrm{t}_3 $$

Hence, the correct answer is option: 'A'.