[amp_mcq option1=”$${{\\text{H}}^{\\frac{1}{2}}}$$” option2=”$${{\\text{H}}^{ – \\frac{1}{2}}}$$” option3=”$${{\\text{H}}^{\\frac{5}{2}}}$$” option4=”$${{\\text{H}}^{\\frac{3}{2}}}$$” correct=”option3″]<\/p>\n
The correct answer is $\\boxed{{\\text{H}}^{\\frac{1}{2}}}$.<\/p>\n
The discharge through a V-notch is given by the following equation:<\/p>\n
$$Q = C{\\sqrt{2gH}}$$<\/p>\n
where $Q$ is the discharge, $C$ is a discharge coefficient, $g$ is the acceleration due to gravity, and $H$ is the head.<\/p>\n
The discharge coefficient is a dimensionless number that depends on the geometry of the V-notch. For a sharp-crested V-notch, the discharge coefficient is typically in the range of 0.5 to 0.6.<\/p>\n
The head is the vertical distance from the free surface of the water to the crest of the V-notch.<\/p>\n
The discharge through a V-notch varies as the square root of the head. This means that if the head is doubled, the discharge will increase by a factor of $\\sqrt{2}$.<\/p>\n
The other options are incorrect because they do not represent the correct relationship between the discharge and the head.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”$${{\\text{H}}^{\\frac{1}{2}}}$$” option2=”$${{\\text{H}}^{ – \\frac{1}{2}}}$$” option3=”$${{\\text{H}}^{\\frac{5}{2}}}$$” option4=”$${{\\text{H}}^{\\frac{3}{2}}}$$” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[648],"tags":[],"class_list":["post-7147","post","type-post","status-publish","format-standard","hentry","category-hydraulics-and-fluid-mechanics","no-featured-image-padding"],"yoast_head":"\n