[amp_mcq option1=”m3″ option2=”$${{\\text{m}}^{\\frac{1}{2}}}$$” option3=”$${{\\text{m}}^{\\frac{1}{3}}}$$” option4=”$${{\\text{m}}^{\\frac{2}{3}}}$$” correct=”option3″]<\/p>\n
The correct answer is C. ${{\\text{m}}^{\\frac{1}{3}}}$.<\/p>\n
Lacey’s silt factor is a dimensionless number used in hydraulic engineering to estimate the silt load in a stream. It is defined as follows:<\/p>\n
$$f = \\frac{d_5}{D_84}$$<\/p>\n
where $d_5$ is the median particle size of the silt in millimeters and $D_84$ is the 84th percentile particle size of the silt in millimeters.<\/p>\n
The median particle size is the particle size that separates the silt into two equal parts, with half of the particles being smaller than $d_5$ and half of the particles being larger than $d_5$. The 84th percentile particle size is the particle size that separates the silt into two equal parts, with 84% of the particles being smaller than $D_84$ and 16% of the particles being larger than $D_84$.<\/p>\n
Lacey’s silt factor is proportional to the median particle size of the silt to the power of $\\frac{1}{3}$. This is because the median particle size is a measure of the average size of the silt particles, and the larger the average size of the silt particles, the more silt will be carried by the stream.<\/p>\n
The other options are incorrect because they are not proportional to the median particle size of the silt to the power of $\\frac{1}{3}$. Option A is proportional to the cube of the median particle size, which is not a meaningful measure of the silt load in a stream. Option B is proportional to the square root of the median particle size, which is a meaningful measure of the silt load in a stream, but it is not the correct power. Option D is proportional to the square of the median particle size, which is not a meaningful measure of the silt load in a stream.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”m3″ option2=”$${{\\text{m}}^{\\frac{1}{2}}}$$” option3=”$${{\\text{m}}^{\\frac{1}{3}}}$$” option4=”$${{\\text{m}}^{\\frac{2}{3}}}$$” 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":[649],"tags":[],"class_list":["post-7519","post","type-post","status-publish","format-standard","hentry","category-irrigation-engineering","no-featured-image-padding"],"yoast_head":"\n