Class 11 Exam  >  Class 11 Questions  >  A cylindrical drum, open at the top, contains... Start Learning for Free
A cylindrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom.10 litre of water comes out in time t, the next 10 litres in a further time t2 and the last 10 litres in a further time t3.Then
  • a)
    t1 = t2 = t3
  • b)
    t1> t2 > t3 
  • c)
    t1 < t2 < t3
  • d)
    t2> t1 = t3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A cylindrical drum, open at the top, contains 30 litres of water. It d...
We know that,
Velocity of efflux is given as v = √2gh
As the water level in the tank decreases, the velocity with which water comes out from the opening decreases due to decrease in pressure with height. Hence, the time taken to empty the tank increases with decrease in velocity and height of water level.
Hence C is the correct answer.
Free Test
Community Answer
A cylindrical drum, open at the top, contains 30 litres of water. It d...
Given information:
- A cylindrical drum contains 30 litres of water.
- Water drains out through a small opening at the bottom.
- 10 litres of water comes out in time t, the next 10 litres in a further time t2, and the last 10 litres in a further time t3.

To find: The relationship between t1, t2, and t3.

Solution:
Let's assume that the rate of water flowing out of the drum is constant, and it is equal to x litres per unit time. Then, we can use the formula:

Volume of water = Rate of flow x Time

Using this formula, we can calculate the time taken for each 10 litres of water to flow out of the drum.

- For the first 10 litres of water: Volume = 10 litres, Rate of flow = x, Time = t
- For the next 10 litres of water: Volume = 10 litres, Rate of flow = x, Time = t2
- For the last 10 litres of water: Volume = 10 litres, Rate of flow = x, Time = t3

We know that the total volume of water in the drum is 30 litres. So, we can write:

Volume of water = 30 litres = 10 litres + 10 litres + 10 litres

Using the formula, we get:

10 = x*t
10 = x*t2
10 = x*t3

Dividing the second equation by the first equation, we get:

t2/t = 1

Dividing the third equation by the first equation, we get:

t3/t = 1

Therefore, we can say that:

t2 = t
t3 = t

So, the relationship between t1, t2, and t3 is:

t1 = t
t2 = t
t3 = t

Hence, the correct answer is option 'C': t1 t2 t3.
Explore Courses for Class 11 exam

Top Courses for Class 11

Question Description
A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer?.
Solutions for A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A cylindrical drum, open at the top, contains 30 litres of water. It drains out through asmall opening at the bottom.10 litreof water comes out in time t, the next 10 litres in afurther time t2 and the last 10 litres in a further time t3.Thena)t1 = t2 = t3b)t1> t2 > t3c)t1 < t2 < t3d)t2> t1 = t3Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev