{"id":5757,"date":"2022-04-15T19:47:25","date_gmt":"2022-04-15T19:47:25","guid":{"rendered":"https:\/\/physics.educour.in\/isc-physics\/?p=5757"},"modified":"2024-04-13T18:12:39","modified_gmt":"2024-04-13T18:12:39","slug":"dimensional-analysis","status":"publish","type":"post","link":"https:\/\/physics.educour.in\/isc-physics\/dimensional-analysis\/","title":{"rendered":"Dimensional Analysis"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5757\" class=\"elementor elementor-5757\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-88e0a27 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"88e0a27\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a214b4f\" data-id=\"a214b4f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-37a4e38 elementor-widget elementor-widget-text-editor\" data-id=\"37a4e38\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h1><span style=\"color: #000080;\">Dimensions<\/span><\/h1>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4ffb7fb elementor-widget elementor-widget-text-editor\" data-id=\"4ffb7fb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u00a0<span style=\"font-size: 14pt;\">\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The dimensions of a derived quantity are defined as the powers which are raised on the units of fundamental quantities to represent the unit of the derived quantity, are known as the dimensions of that physical quantity.<\/span><\/p><p><span style=\"font-size: 14pt;\">When the dimensions of a physical quantity are expressed along with the fundamental quantities on which those are raised, it is called the dimensional formula of the physical quantity. Dimensional formula of the quantity is expressed as [M<sup>a<\/sup>L<sup>b<\/sup>T<sup>c<\/sup>], where a, b and c are respective dimensions of mass, length and time.<\/span><\/p><p><span style=\"font-size: 14pt;\">For example, the dimension formula for volume = [L<sup>3<\/sup>],\u00a0<\/span><\/p><p><span style=\"font-size: 14pt;\">\u00a0 \u00a0velocity = [LT <sup>\u2013 1 <\/sup>],\u00a0 power = [ML<sup>2<\/sup>T <sup>\u2013 3 <\/sup>] etc.<\/span><\/p><p><span style=\"font-size: 14pt;\">The equation formed by equating the physical quantity with its dimensional formula is called dimensional equation of the quantity.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-eb35ab2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"eb35ab2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-6a57952\" data-id=\"6a57952\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c2576f7 elementor-widget elementor-widget-text-editor\" data-id=\"c2576f7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #000080;\">Basic Concept of Dimensions<\/span><\/h3><h5 style=\"text-align: center;\"><span style=\"color: #ff6600;\">( In Hindi + English Mix)<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-567b5ff elementor-widget elementor-widget-video\" data-id=\"567b5ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/727671017?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=0&amp;portrait=0&amp;byline=0#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9ee6762 elementor-widget elementor-widget-text-editor\" data-id=\"9ee6762\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #000080;\">\u00a0Dimensions of Important Quantities<\/span><\/h3><h5 style=\"text-align: center;\"><span style=\"color: #ff6600;\">( In Hindi + English Mix)<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e427cfb elementor-widget elementor-widget-video\" data-id=\"e427cfb\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/557208431?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=0&amp;portrait=0&amp;byline=0#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-003a10b elementor-widget elementor-widget-text-editor\" data-id=\"003a10b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4><span style=\"color: #000080;\"><u>DIMENSIONAL FORMULA OF COMMONLY USED QUNATITIES<\/u><\/span><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d728536 elementor-widget elementor-widget-text-editor\" data-id=\"d728536\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><a href=\"https:\/\/physics.educour.in\/isc-physics\/wp-content\/uploads\/2022\/07\/DIMENSIONAL-FORMULA-OF-COMMONLY-USED-QUNATITIES-1.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">DIMENSIONAL FORMULA OF COMMONLY USED QUNATITIES-1<\/a> <a href=\"https:\/\/physics.educour.in\/isc-physics\/wp-content\/uploads\/2022\/07\/DIMENSIONAL-FORMULA-OF-COMMONLY-USED-QUNATITIES-2.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">DIMENSIONAL FORMULA OF COMMONLY USED QUNATITIES-2<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-85f6305 elementor-widget elementor-widget-text-editor\" data-id=\"85f6305\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\"><u>Principle of Homogeneity of Dimensions:<\/u><\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-415a82d elementor-widget elementor-widget-text-editor\" data-id=\"415a82d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong><em><span style=\"font-size: 14pt; color: #0f850b;\">\u201cEvery valid physical equation must be dimensionally homogeneous. That is, different parts of a valid physical equation must have the same dimensional formula.\u201d<\/span><\/em><\/strong><\/p><p><span style=\"font-size: 14pt;\"><strong><span style=\"color: #000080;\">For example:<\/span><\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 S = ut + \u00bd at<sup>2<\/sup><\/span><\/p><p><span style=\"font-size: 14pt;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [S] = [M<sup>0<\/sup>L<sup>1<\/sup>T<\/span><sup style=\"font-size: 14pt;\">o<\/sup><span style=\"font-size: 14pt;\">]<\/span><\/p><p><span style=\"font-size: 14pt;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[ut ]= [M<sup>0<\/sup>L<sup>1<\/sup>T<sup>-1<\/sup>]\u00a0 T<sup>1<\/sup>\u00a0\u00a0 = [M<sup>0<\/sup>L<sup>1<\/sup>T<sup>0<\/sup>]<\/span><\/p><p><span style=\"font-size: 14pt;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [\u00bd at<sup>2<\/sup>] = [M<sup>0<\/sup>L<sup>1<\/sup>T<sup>-2<\/sup>] T<sup>-2<\/sup>\u00a0\u00a0 = [M<sup>0<\/sup>L<sup>1<\/sup>T<sup>0<\/sup>]<\/span><\/p><p><span style=\"font-size: 14pt;\">So,\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [S] = [ut] = [\u00bdat<sup>2<\/sup> ]<\/span><\/p><p><span style=\"font-size: 14pt;\">The equation is dimensionally homogenous. So, it is a valid physical equation.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5622e12 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5622e12\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-8df3006\" data-id=\"8df3006\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6ae1681 elementor-widget elementor-widget-text-editor\" data-id=\"6ae1681\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 style=\"text-align: center;\"><span style=\"color: #000080;\">Principle of Homogeneity of Dimensions<\/span><\/h4><h5 style=\"text-align: center;\"><span style=\"color: #ff6600;\">(In Hindi + English Mix)<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b018a8a elementor-widget elementor-widget-video\" data-id=\"b018a8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/554198659?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=0&amp;portrait=0&amp;byline=0#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-f21143e elementor-widget elementor-widget-text-editor\" data-id=\"f21143e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\"><u>APPLICATIONS OF DIMENSIONAL EQUATION<\/u><\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b90015f elementor-widget elementor-widget-text-editor\" data-id=\"b90015f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-size: 14pt;\">The principal of homogeneity of the dimensional equation \u00a0can be used for following applications.<\/span><\/p><ul><li><span style=\"color: #008000;\"><strong><span style=\"font-size: 14pt;\"><em>Conversion of one system of unit into another units<\/em><\/span><\/strong><\/span><\/li><\/ul><p><span style=\"font-size: 14pt;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 If n<sub>1<\/sub> is numerical value of physical quantity with dimesions a, b and c for units of mass, length and as M<sub>1<\/sub>, L<sub>1<\/sub> and T<sub>1<\/sub>, the numerical value of the same quantity, n<sub>2<\/sub> can be calculated for different units of mass, length and time as M<sub>2<\/sub>, L<sub>2<\/sub> and T<sub>2<\/sub> respectively.<\/span><\/p><p><span style=\"font-size: 14pt;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p><ul><li><strong><span style=\"font-size: 14pt; color: #008000;\"><em>To test the correctness of a physical equation of formula<\/em><\/span><\/strong><\/li><\/ul><p><span style=\"font-size: 14pt;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The principal of homogeneity requires that the dimensions of all the terms on both sides of physical equation or formula should be equal if the physical equation or any derived formula is correct one.<\/span><\/p><ul><li><span style=\"color: #008000;\"><strong><span style=\"font-size: 14pt;\"><em>To derive a relation between different physical quantities in any physical phenomenon<\/em><\/span><\/strong><\/span><\/li><\/ul><p><span style=\"font-size: 14pt;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 If a physical quantity depends upon a number of parameters whose dimensions are known, the principal of homogeneity of dimensions can be used to derive the relations between any physical quantity and its dependent parameters.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-71b3007 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"71b3007\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-fe1a9ed\" data-id=\"fe1a9ed\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a199c0 elementor-widget elementor-widget-text-editor\" data-id=\"1a199c0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #000080;\">Application of Dimensions<\/span><\/h3><h5 style=\"text-align: center;\"><span style=\"color: #ff6600;\">(In English + Hindi Mix)<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-95136ce elementor-widget elementor-widget-video\" data-id=\"95136ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/554198488?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=0&amp;portrait=0&amp;byline=0#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-f00b480 elementor-widget elementor-widget-text-editor\" data-id=\"f00b480\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\"><strong><u>LIMITATIONS OF DIMENSIONAL ANALYSIS<\/u><\/strong><\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-83f0c42 elementor-widget elementor-widget-text-editor\" data-id=\"83f0c42\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol><li><span style=\"font-size: 14pt;\">From dimensional equation, the nature of physical quantities cannot be decided i.e., whether a given quantity is scalar or vector.<\/span><\/li><li><span style=\"font-size: 14pt;\">The value of constant of proportionality cannot be determined.<\/span><\/li><li><span style=\"font-size: 14pt;\">Relation among physical quantities having exponential, logarithimic or trigonometric functions cannot be established.<\/span><\/li><li><span style=\"font-size: 14pt;\">Relation which depends on more than three physical quantities in mechanics and more than four physical quantities in current electricity and other parts, cannot be established using dimensional methods.<\/span><\/li><li><span style=\"font-size: 14pt;\">The equations which involve two physical quantities of same dimensional formula cannot be derived using dimensional method.<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Dimensions &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The dimensions of a derived quantity are defined as the powers which are raised on the units of fundamental quantities to represent the unit of the derived quantity, are known as the dimensions of that physical quantity. When the dimensions of a physical quantity are expressed along with the fundamental quantities on &#8230; <a title=\"Dimensional Analysis\" class=\"read-more\" href=\"https:\/\/physics.educour.in\/isc-physics\/dimensional-analysis\/\" aria-label=\"More on Dimensional Analysis\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"post_folder":[43],"class_list":["post-5757","post","type-post","status-publish","format-standard","hentry","category-11-lecture-notes"],"_links":{"self":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/5757","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/comments?post=5757"}],"version-history":[{"count":47,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/5757\/revisions"}],"predecessor-version":[{"id":8878,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/5757\/revisions\/8878"}],"wp:attachment":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/media?parent=5757"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/categories?post=5757"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/tags?post=5757"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/post_folder?post=5757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}