What is the percentage reading error in measuring a distance of 5.00cm, using a metre rule marked in mm?\u200b<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The percentage reading error in measuring a distance of 5.00 cm using a meter rule marked in millimeters can be calculated as follows:<\/p>\n\n\n\n A meter rule typically has markings in millimeters (mm), with each millimeter representing 1\/10th of a centimeter. When measuring a length, the smallest possible unit of precision is typically considered the smallest division on the ruler. In this case, since the rule is marked in millimeters, the smallest unit of precision is 1 mm.<\/p>\n\n\n\n The absolute error is the maximum possible uncertainty in the measurement. Since the smallest marking on the meter rule is 1 mm, the possible error in reading the length is \u00b10.5 mm. This is because the reading could be slightly above or below the nearest millimeter, so the error is half of the smallest division.<\/p>\n\n\n\n The measurement in question is 5.00 cm, which is equivalent to 50.0 mm (since 1 cm = 10 mm). The possible error in the measurement is \u00b10.5 mm.<\/p>\n\n\n\n To find the percentage reading error, we use the formula:<\/p>\n\n\n\n [ Substituting the values:<\/p>\n\n\n\n [ The percentage reading error in measuring a distance of 5.00 cm using a meter rule marked in millimeters is 1%<\/strong>.<\/p>\n\n\n\n The percentage error reflects the precision of the measuring instrument relative to the size of the measured value. In this case, because the meter rule is marked in millimeters, there is a finite limit to how accurately we can read the measurement, which introduces an uncertainty of \u00b10.5 mm. This uncertainty is expressed as a percentage of the total measured value (50.0 mm), resulting in a reading error of 1%. Understanding this error is important in scientific and engineering measurements to acknowledge the limitations of the tools used.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the percentage reading error in measuring a distance of 5.00cm, using a metre rule marked in mm?\u200b The Correct Answer and Explanation is: The percentage reading error in measuring a distance of 5.00 cm using a meter rule marked in millimeters can be calculated as follows: Step 1: Understanding the Measurement and Potential […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168544","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168544","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168544"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168544\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168544"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168544"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168544"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understanding the Measurement and Potential Error<\/h3>\n\n\n\n
Step 2: Estimating the Absolute Error<\/h3>\n\n\n\n
Step 3: Converting to a Consistent Unit<\/h3>\n\n\n\n
Step 4: Calculating the Percentage Error<\/h3>\n\n\n\n
\\text{Percentage Error} = \\left( \\frac{\\text{Absolute Error}}{\\text{Measured Value}} \\right) \\times 100
]<\/p>\n\n\n\n
\\text{Percentage Error} = \\left( \\frac{0.5 \\, \\text{mm}}{50.0 \\, \\text{mm}} \\right) \\times 100 = 1\\%
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n