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Assertion (A): To have maximum hydraulic efficiency, the trapezoidal section of an open channel should be a half-hexagon 
Reason (R): For any cross-section, a hexagon has the lest-perimeter.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assertion (A): To have maximum hydraulic efficiency, the trapezoidal s...
Ans. (c) We all knows that for any cross-section, a circular section has the lestperimeter.
So R is false.
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Most Upvoted Answer
Assertion (A): To have maximum hydraulic efficiency, the trapezoidal s...


Explanation:


Hydraulic Efficiency of Trapezoidal Section:
- The trapezoidal section is commonly used in open channels for transporting water efficiently.
- The shape of the trapezoidal section allows for a balance between flow capacity and structural stability.

Half-Hexagon for Maximum Efficiency:
- A half-hexagon shape is essentially half of a regular hexagon.
- A hexagon has the least perimeter among all regular polygons with the same area.
- By using a half-hexagon shape for the trapezoidal section of an open channel, one can achieve maximum hydraulic efficiency due to the minimized perimeter.

Perimeter Consideration:
- The perimeter of a cross-section directly influences the flow resistance and energy losses in an open channel.
- A shape with a smaller perimeter will reduce friction losses and improve hydraulic efficiency.
- Hence, choosing a half-hexagon shape for the trapezoidal section helps in achieving maximum hydraulic efficiency by minimizing the perimeter.
Therefore, the assertion that a half-hexagon shape is ideal for maximum hydraulic efficiency in an open channel is true, even though the reasoning provided may not be the only factor influencing this decision.
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Assertion (A): To have maximum hydraulic efficiency, the trapezoidal section of an open channel should be a half-hexagonReason (R): For any cross-section, a hexagon has the lest-perimeter.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
Question Description
Assertion (A): To have maximum hydraulic efficiency, the trapezoidal section of an open channel should be a half-hexagonReason (R): For any cross-section, a hexagon has the lest-perimeter.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assertion (A): To have maximum hydraulic efficiency, the trapezoidal section of an open channel should be a half-hexagonReason (R): For any cross-section, a hexagon has the lest-perimeter.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): To have maximum hydraulic efficiency, the trapezoidal section of an open channel should be a half-hexagonReason (R): For any cross-section, a hexagon has the lest-perimeter.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
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