{"id":150695,"date":"2022-03-21T18:23:41","date_gmt":"2022-03-21T12:53:41","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=150695"},"modified":"2024-08-28T12:14:03","modified_gmt":"2024-08-28T06:44:03","slug":"blog-iit-jee-dimensions-of-tension","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/","title":{"rendered":"Dimensions of Tension"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/#Dimensions_of_Tension\" title=\"Dimensions of Tension\">Dimensions of Tension<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/#Dimensional_Formula_of_Tension\" title=\"Dimensional Formula of Tension\">Dimensional Formula of Tension<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/#JEE_Foundation_Class_for_10\" title=\"JEE Foundation Class for 10\">JEE Foundation Class for 10<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/#What_is_the_tension_unit\" title=\"What is the tension unit?\">What is the tension unit?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-tension\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Dimensions_of_Tension\"><\/span><span style=\"color: #0000ff;\"><strong>Dimensions of Tension<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Any physical quantity is measured by comparing it to a basic, arbitrarily chosen, internationally accepted reference standard known as a unit, and a Dimension is a mathematical tool used to study the nature of physical quantities. The basic idea behind dimensions is that we can only add or subtract quantities that have the same dimensions. The dimensional formula, on the other hand, is defined as the expression of a physical quantity in terms of mass, length, and time. In this article, we shall discuss about the dimensions of tension, the dimensional formula of tension and other important information.<\/p>\n<p>Tension is a force that acts along the length of a medium, such as rope or string. To put these objects under tension, a force is required. Tension is also known as an exciting pair, such as an action-reaction pair. [M<sup>1<\/sup> L<sup>1<\/sup> T<sup>-2<\/sup>] is the tension dimensional formula. Tension is nothing, but it is a force with a new and improved name. Tension is felt at both ends of the string (from the above picture). Each point on the string has access to the tension force.<\/p>\n<p style=\"text-align: center;\"><strong>Join Our Courses: <em><a href=\"https:\/\/infinitylearn.com\/jee-class-11-online-course\" target=\"_blank\" rel=\"noopener\">JEE Class 11 Students<\/a> |<a href=\"https:\/\/infinitylearn.com\/jee-class-12-online-course\" target=\"_blank\" rel=\"noopener\"> JEE Class 12 Students<\/a> |<a href=\"https:\/\/infinitylearn.com\/jee-class-13-online-course\" target=\"_blank\" rel=\"noopener\"> JEE Dropper<\/a><\/em><\/strong><\/p>\n<p>The tension formula on a body is calculated by adding the product of mass and gravitational force, as well as the product of mass and acceleration As a result, the tension equation is T = mg + ma. Surface tension is defined as the phenomenon that occurs when a phase interacts with the surface of a liquid. The other phase could be a liquid as well. Liquids have the smallest surface area. They behave similarly to elastic sheets.<\/p>\n<p>String tension is a non-negative vector quantity. Slack is defined as zero tension. A string or rope is frequently idealised as a one-dimensional object with length but no mass and no cross-section. If there are no bends in the string, as with vibrations or pulleys, tension is a constant along the string, equal to the magnitude of the forces applied by the string&#8217;s ends. These are the same forces exerted on the ends of the string by the objects to which the ends are attached, according to Newton&#8217;s third law. In the idealised situation where the pulleys are massless and frictionless, the string will still have constant tension along its length if it curves around one or more pulleys.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-151961 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2022-03-21-180933-300x193.png\" alt=\"Dimensions of Tension\" width=\"300\" height=\"193\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2022-03-21-180933-300x193.png?v=1647866392 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2022-03-21-180933.png?v=1647866392 572w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Dimensional_Formula_of_Tension\"><\/span><a href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-surface-tension\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 18pt; color: #0000ff;\"><strong>Dimensional Formula of Tension<\/strong><\/span><\/a><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The tension dimensional formula is given by,<\/p>\n<p><strong>M<sup>1 <\/sup>L<sup>1 <\/sup>T<sup>-2<\/sup><\/strong><\/p>\n<p>Where,<\/p>\n<p>M stands for mass.<\/p>\n<p>T = Time L = Length<\/p>\n<p>Because tension is a type of force, the dimensions of tension equal the dimensions of force.<\/p>\n<p>F = M\u00d7a is the formula for force.<\/p>\n<p>The dimensions of,<\/p>\n<p>Mass = [M<sup>1 <\/sup>L<sup>0 <\/sup>T<sup>0<\/sup>] . . . . (2)<\/p>\n<p>Acceleration = [M<sup>0 <\/sup>L<sup>1 <\/sup>T<sup>-2<\/sup>] . . . . (3)<\/p>\n<p>When we substitute equations (2) and (3) into equation (1), we get<\/p>\n<p>M\u00d7a = Force<\/p>\n<p>Tension = [M<sup>1 <\/sup>L<sup>0 <\/sup>T<sup>0<\/sup>] \u00d7 [M<sup>0<\/sup> L<sup>1 <\/sup>T<sup>-2<\/sup>] = M<sup>1 <\/sup>L<sup>1 <\/sup>T<sup>-2<\/sup>.<\/p>\n<p><strong>M<sup>1 <\/sup>L<sup>1 <\/sup>T<sup>-2  <\/sup><\/strong>is the dimensional representation of tension.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Make your <a style=\"color: #ff0000;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">IIT<\/a> Dream come true with <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/\" target=\"_blank\" rel=\"noopener\">Infinity Learn.<\/a><\/span><\/strong><\/span><\/p>\n<div class=\"card\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><br \/>\n<noscript><img style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"JEE class 10 online Course\" data-eio=\"l\" \/><\/noscript><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><img loading=\"lazy\" class=\" lazyloaded alignnone\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"jee-foundation-course-for-class-10\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"JEE_Foundation_Class_for_10\"><\/span>JEE Foundation Class for 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">JEE Foundation Class for 10 enhances critical thinking and problem-solving skills through engaging activities and advanced learning techniques, ensuring academic excellence.<br \/>\n<a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><button><strong>JEE Foundation Class for 10<\/strong><\/button><\/a><\/p>\n<\/div>\n<p><span style=\"color: #000000; font-size: 14pt;\"><strong>FAQs<\/strong><\/span><\/p>\n\t<section class=\"sc_fs_faq sc_card \">\n\t\t<div>\n\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_tension_unit\"><\/span>What is the tension unit?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t<div>\n\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t Tension can be a force in physics as a transmitted force, an action-reaction pair of forces, or a restoring force, and its units of force are newtons (or sometimes pounds-force). \t\t\t\t<\/p>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/section>\n\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the tension unit?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Tension can be a force in physics as a transmitted force, an action-reaction pair of forces, or a restoring force, and its units of force are newtons (or sometimes pounds-force).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t]\n\t}\n<\/script>\n\n<p><span style=\"color: #0000ff;\"><strong>Question: Mention some methods that can be used to measure surface tension.<\/strong><\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Answer:<\/strong><\/span> Here is a list of different surface tension measuring systems:<\/p>\n<p>Method of pendant dropping<\/p>\n<p>Stalagmometric technique<\/p>\n<p>Method of Du No\u00fcy\u2013Padday<\/p>\n<p>Method of spinning drops Method of capillary rise<\/p>\n<p>Method of pendant dropping<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><strong>Infinity Learn App<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\"><strong>Ultimate Learning App for Classes 6 to 12<\/strong><\/span><\/a> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dimensions of Tension Any physical quantity is measured by comparing it to a basic, arbitrarily chosen, internationally accepted reference standard [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Dimensions of Tension","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Dimensions of tension: M1\u00a0L1\u00a0T-2\u00a0 is the dimensional 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