NEET Exam > NEET Questions > A cylindrical vessel filled with water upto a...
Start Learning for Free
A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, is
- a)4t
- b)3t
- c)t
- d)2t
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A cylindrical vessel filled with water upto a height H becomes empty i...
Most Upvoted Answer
A cylindrical vessel filled with water upto a height H becomes empty i...
Solution:
Given:
- A cylindrical vessel filled with water up to height H becomes empty in time t, due to a small hole at the bottom of the vessel.
- Water is filled in the same vessel to a height 4H.
To find:
- The time in which the water level will reduce to height H.
Explanation:
1. Relationship between height and time:
- The time taken for the water level to reduce from 4H to H can be found by comparing the heights and times for the two cases.
- Let's assume that the initial height of the water in the first case is h₁ and the corresponding time is t₁.
- Similarly, let's assume that the initial height of the water in the second case is h₂ and the corresponding time is t₂.
2. Relationship between heights and time:
- The rate at which the water level decreases is directly proportional to the height of the water in the vessel.
- This implies that the time taken to reduce the height of the water by a certain fraction is the same, regardless of the initial height.
3. Applying the relationship to the given situation:
- In the first case, the water level reduces from h₁ to 0 in time t₁.
- In the second case, the water level reduces from h₂ to 0 in time t₂.
- Since the rate of decrease is the same, we can write the following proportion:
h₁ : h₂ = t₁ : t₂
4. Using the given information:
- In the first case, the water level reduces from H to 0 in time t.
- In the second case, the water level reduces from 4H to 0 in time t.
- Using the proportion, we can write:
H : 4H = t : t₂
5. Calculating the time to reduce the height to H:
- To find the time taken to reduce the height from 4H to H, we need to find t₂.
- Solving the proportion, we have:
H/4H = t/t₂
1/4 = t/t₂
t₂ = 4t
6. Conclusion:
- The time taken for the water level to reduce from 4H to H is 4t.
- Therefore, the correct answer is option C: 4t.
Given:
- A cylindrical vessel filled with water up to height H becomes empty in time t, due to a small hole at the bottom of the vessel.
- Water is filled in the same vessel to a height 4H.
To find:
- The time in which the water level will reduce to height H.
Explanation:
1. Relationship between height and time:
- The time taken for the water level to reduce from 4H to H can be found by comparing the heights and times for the two cases.
- Let's assume that the initial height of the water in the first case is h₁ and the corresponding time is t₁.
- Similarly, let's assume that the initial height of the water in the second case is h₂ and the corresponding time is t₂.
2. Relationship between heights and time:
- The rate at which the water level decreases is directly proportional to the height of the water in the vessel.
- This implies that the time taken to reduce the height of the water by a certain fraction is the same, regardless of the initial height.
3. Applying the relationship to the given situation:
- In the first case, the water level reduces from h₁ to 0 in time t₁.
- In the second case, the water level reduces from h₂ to 0 in time t₂.
- Since the rate of decrease is the same, we can write the following proportion:
h₁ : h₂ = t₁ : t₂
4. Using the given information:
- In the first case, the water level reduces from H to 0 in time t.
- In the second case, the water level reduces from 4H to 0 in time t.
- Using the proportion, we can write:
H : 4H = t : t₂
5. Calculating the time to reduce the height to H:
- To find the time taken to reduce the height from 4H to H, we need to find t₂.
- Solving the proportion, we have:
H/4H = t/t₂
1/4 = t/t₂
t₂ = 4t
6. Conclusion:
- The time taken for the water level to reduce from 4H to H is 4t.
- Therefore, the correct answer is option C: 4t.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer?
Question Description
A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer?.
A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cylindrical vessel filled with water upto a height H becomes empty in time t, due to a small hole at the bottom of vessel. If water is filled in same vessel to a height 4H, then time in which water level will reduce to height H, isa)4tb)3tc)td)2tCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup