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The Chezy’s coefficient
- a)is dimensionless
- b)has the dimension of velocity
- c)has the dimension of discharge
- d)has the dimension L1⁄2T−1
Correct answer is option 'D'. Can you explain this answer?
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The Chezy’s coefficienta) is dimensionlessb) has the dimension of vel...
Chezy’s coefficient is a hydraulic parameter used to determine the velocity of flow in an open channel. It is denoted by the symbol C and is defined as the ratio of velocity to the square root of the product of gravity and the hydraulic radius. The dimension of Chezy’s coefficient is L1/2T-1, which means that it has the following dimensions:
Dimension of Chezy’s coefficient
- Length: The length dimension of Chezy’s coefficient is L1/2, which represents the square root of the hydraulic radius. This is because the hydraulic radius is defined as the cross-sectional area of flow divided by the wetted perimeter, which has the dimension of length.
- Time: The time dimension of Chezy’s coefficient is T-1, which represents the inverse of time. This is because the velocity of flow has the dimension of length per time, and the square root of the product of gravity and the hydraulic radius has the dimension of length per time squared.
- No other dimension: Chezy’s coefficient does not have any other dimension, such as mass or temperature, as it is a hydraulic parameter that relates only to the characteristics of the flow.
Therefore, the correct answer is option D, which states that Chezy’s coefficient has the dimension of L1/2T-1.
Dimension of Chezy’s coefficient
- Length: The length dimension of Chezy’s coefficient is L1/2, which represents the square root of the hydraulic radius. This is because the hydraulic radius is defined as the cross-sectional area of flow divided by the wetted perimeter, which has the dimension of length.
- Time: The time dimension of Chezy’s coefficient is T-1, which represents the inverse of time. This is because the velocity of flow has the dimension of length per time, and the square root of the product of gravity and the hydraulic radius has the dimension of length per time squared.
- No other dimension: Chezy’s coefficient does not have any other dimension, such as mass or temperature, as it is a hydraulic parameter that relates only to the characteristics of the flow.
Therefore, the correct answer is option D, which states that Chezy’s coefficient has the dimension of L1/2T-1.
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The Chezy’s coefficienta) is dimensionlessb) has the dimension of velocityc) has the dimension of discharged) has the dimension L1⁄2T−1Correct answer is option 'D'. Can you explain this answer?
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