{"id":8069,"date":"2022-08-24T04:34:43","date_gmt":"2022-08-24T04:34:43","guid":{"rendered":"https:\/\/physics.educour.in\/isc-physics\/?page_id=8069"},"modified":"2022-08-25T05:46:23","modified_gmt":"2022-08-25T05:46:23","slug":"gravitation","status":"publish","type":"page","link":"https:\/\/physics.educour.in\/isc-physics\/gravitation\/","title":{"rendered":"Gravitation"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"8069\" class=\"elementor elementor-8069\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aa7ba4e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aa7ba4e\" data-element_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-13ce2f2\" data-id=\"13ce2f2\" data-element_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-ba3fb21 elementor-widget elementor-widget-text-editor\" data-id=\"ba3fb21\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.20.0 - 20-03-2024 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<h1 style=\"text-align: center;\"><strong><span style=\"color: #000080;\">Gravitation<\/span><\/strong><\/h1>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-be09951 elementor-widget elementor-widget-text-editor\" data-id=\"be09951\" data-element_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<h2>ISC SYLLABUS<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-075a60f elementor-widget elementor-widget-text-editor\" data-id=\"075a60f\" data-element_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<p>Kepler&#8217;s laws of planetary motion, universal law of gravitation. Acceleration due to gravity (g) and its variation with altitude, latitude and depth.<br \/>Gravitational potential and gravitational potential energy, escape velocity, orbital velocity of a satellite, Geo-stationary satellites.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a096f63 elementor-widget elementor-widget-text-editor\" data-id=\"a096f63\" data-element_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<h2>Elaboration of ISC Syllabus &#8211; Gravitation<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0ac8aab elementor-widget elementor-widget-text-editor\" data-id=\"0ac8aab\" data-element_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<p>(i) Newton&#8217;s law of universal gravitation; Statement; unit and dimensional formula of universal gravitational constant, G [Cavendish experiment not required]; gravitational acceleration on surface of the earth (g), weight of a body W= mg from F=ma.<\/p><p>\u00a0 <br \/>(ii) Relation between g and G. Derive the expression for variation of g above and below the surface of the earth; graph; mention variation of g with latitude and rotation, (without derivation).<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6724b73 elementor-widget elementor-widget-text-editor\" data-id=\"6724b73\" data-element_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<p>(iii) Gravitational field, intensity of gravitational field and potential at a point <br \/>in earth\u2019s gravitational field. V<sub>p<\/sub> = W<sub>\u03b1p<\/sub>\/m.<br \/>Derive expression (by integration) for the gravitational potential difference <br \/>\u2206V = V<sub>B<\/sub>-V<sub>A<\/sub> = G.M(1\/r<sub>A<\/sub>-1\/r<sub>B<\/sub>); here Vp = V(r) = -GM\/r; negative sign for <br \/>attractive force field; define gravitational potential energy of a mass m in the earth&#8217;s field; expression for gravitational potential energy U(r) = W<sub>\u03b1p<\/sub> = m.V(r) = -G M m\/r; show that \u2206U = mgh, for h &lt;&lt; R. Relation between intensity and acceleration due to gravity.<\/p><p>(iv) Derive expression for the escape velocity of earth using energy consideration; v<sub>e<\/sub> depends on mass of the earth; for moon v<sub>e<\/sub> is less as\u00a0 mass of moon is less; consequence &#8211; no atmosphere on the moon.\u00a0<span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );\">Weightlessness; geostationary satellites; conditions for satellite to be geostationary; parking orbit, calculation of its radius and height; basic concept of polar satellites and their uses.<\/span><\/p><p>(vi) Kepler&#8217;s laws of planetary motion: explain the three laws using diagrams. Proof of third law (for circular orbits only)<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-895afe2 elementor-widget elementor-widget-text-editor\" data-id=\"895afe2\" data-element_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<h3 style=\"text-align: center;\">VIDEOS<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-41ac905 elementor-widget elementor-widget-text-editor\" data-id=\"41ac905\" data-element_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<ol><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#1\"><span style=\"color: #000080;\">Newton&#8217;s Law of Gravitation<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#2\"><span style=\"color: #000080;\">Acceleration Due to Gravity<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#3\"><span style=\"color: #000080;\">Acceleration due to gravity below surface of earth<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#4\"><span style=\"color: #000080;\">Variation of g at different places on earth surface<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#5\"><span style=\"color: #000080;\">Graph of g with distance<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#6\"><span style=\"color: #000080;\">Gravitational Field<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#7\"><span style=\"color: #000080;\">Gravitational Potential Energy<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#8\"><span style=\"color: #000080;\">Escape Speed<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#9\"><span style=\"color: #000080;\">Motion of Satellite<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#10\"><span style=\"color: #000080;\">Gravitational Potential<\/span><\/a><\/h6><\/li><li><h6 style=\"text-align: left;\"><a href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation-class-11-isc-physics-videos\/#11\"><span style=\"color: #000080;\">Kepler&#8217;s Laws of Planetary Motion<\/span><\/a><\/h6><\/li><\/ol>\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>Gravitation ISC SYLLABUS Kepler&#8217;s laws of planetary motion, universal law of gravitation. Acceleration due to gravity (g) and its variation with altitude, latitude and depth.Gravitational potential and gravitational potential energy, escape velocity, orbital velocity of a satellite, Geo-stationary satellites. Elaboration of ISC Syllabus &#8211; Gravitation (i) Newton&#8217;s law of universal gravitation; Statement; unit and dimensional &#8230; <a title=\"Gravitation\" class=\"read-more\" href=\"https:\/\/physics.educour.in\/isc-physics\/gravitation\/\" aria-label=\"More on Gravitation\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"folder":[42],"_links":{"self":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/pages\/8069"}],"collection":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/types\/page"}],"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=8069"}],"version-history":[{"count":52,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/pages\/8069\/revisions"}],"predecessor-version":[{"id":8362,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/pages\/8069\/revisions\/8362"}],"wp:attachment":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/media?parent=8069"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/folder?post=8069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}