NEET Exam > NEET Questions > Water flows through a pipe of internal diamet...
Start Learning for Free
Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ?
Most Upvoted Answer
Water flows through a pipe of internal diameter 20 cm at the speed of ...
Community Answer
Water flows through a pipe of internal diameter 20 cm at the speed of ...
Solution:
Given:
Internal diameter of the pipe = 20 cm
Speed of water in pipe = 1 m/s
Speed of water at nozzle = 4 m/s
Let the diameter of the nozzle be 'd'.
Area of pipe = πr^2
where r = internal radius of the pipe
r = 20/2 = 10 cm = 0.1 m
Area of pipe = π(0.1)^2 = 0.01π m^2
Velocity of water in pipe = 1 m/s
Volume of water flowing per second = Area of pipe × Velocity of water
= 0.01π × 1 = 0.01π m^3/s
Velocity of water at nozzle = 4 m/s
Volume of water flowing per second = Area of nozzle × Velocity of water
Area of nozzle = Volume of water flowing per second / Velocity of water
= 0.01π / 4 = 0.0025π m^2
Let the radius of the nozzle be 'r'.
Then, area of nozzle = πr^2
πr^2 = 0.0025π
r^2 = 0.0025
r = √0.0025 = 0.05 m
Diameter of the nozzle = 2r = 2 × 0.05 = 0.1 m = 10 cm
Hence, the diameter of the nozzle should be 10 cm.
Given:
Internal diameter of the pipe = 20 cm
Speed of water in pipe = 1 m/s
Speed of water at nozzle = 4 m/s
Let the diameter of the nozzle be 'd'.
Area of pipe = πr^2
where r = internal radius of the pipe
r = 20/2 = 10 cm = 0.1 m
Area of pipe = π(0.1)^2 = 0.01π m^2
Velocity of water in pipe = 1 m/s
Volume of water flowing per second = Area of pipe × Velocity of water
= 0.01π × 1 = 0.01π m^3/s
Velocity of water at nozzle = 4 m/s
Volume of water flowing per second = Area of nozzle × Velocity of water
Area of nozzle = Volume of water flowing per second / Velocity of water
= 0.01π / 4 = 0.0025π m^2
Let the radius of the nozzle be 'r'.
Then, area of nozzle = πr^2
πr^2 = 0.0025π
r^2 = 0.0025
r = √0.0025 = 0.05 m
Diameter of the nozzle = 2r = 2 × 0.05 = 0.1 m = 10 cm
Hence, the diameter of the nozzle should be 10 cm.
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
Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ?
Question Description
Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . 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 Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ?.
Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . 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 Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ?.
Solutions for Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . 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 Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ? defined & explained in the simplest way possible. Besides giving the explanation of
Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ?, a detailed solution for Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ? has been provided alongside types of Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . Can you explain this answer ? theory, EduRev gives you an
ample number of questions to practice Water flows through a pipe of internal diameter 20 cm at the speed of 1m per second . What should the diameter of the nozzle be if the water is to emerge at the speed of 4 meter per second . A) 5 cm B) 10 cm C) 7.5 cm D) 15 cm Correct answer is option 'B' . 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