{"id":5774,"date":"2022-04-15T19:54:46","date_gmt":"2022-04-15T19:54:46","guid":{"rendered":"https:\/\/physics.educour.in\/isc-physics\/?p=5774"},"modified":"2022-04-15T20:05:07","modified_gmt":"2022-04-15T20:05:07","slug":"physical-world","status":"publish","type":"post","link":"https:\/\/physics.educour.in\/isc-physics\/physical-world\/","title":{"rendered":"Physical World"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5774\" class=\"elementor elementor-5774\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aa83807 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aa83807\" 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-4c05d44\" data-id=\"4c05d44\" 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-5f37dba elementor-widget elementor-widget-text-editor\" data-id=\"5f37dba\" 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;\"><strong>Physical World <\/strong><\/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-77b9ccc elementor-widget elementor-widget-text-editor\" data-id=\"77b9ccc\" 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;\"><strong>Science<\/strong> is a systematic attempt to understand natural phenomena in as much detail and depth as possible, and use the knowledge so gained to predict, modify and control phenomena.<\/span><\/p><p><span style=\"font-size: 14pt;\">The scientific method involves the following steps:<\/span><\/p><ul><li><span style=\"font-size: 14pt;\">Taking a large number of systematic observations through controlled experiments.<\/span><\/li><li><span style=\"font-size: 14pt;\">Studying these observations and looking for their logical behavior based on qualitative and quantitative reasoning.<\/span><\/li><li><span style=\"font-size: 14pt;\">Mathematical modeling, i.e., suggesting some model to account for the observed behavior.<\/span><\/li><li><span style=\"font-size: 14pt;\">Theoretical prediction of what is not actually observed on the basis of the suggested model.<\/span><\/li><li><span style=\"font-size: 14pt;\">Verification or falsification of the model.<\/span><\/li><\/ul><p><span style=\"font-size: 14pt;\">\u00a0Speculation and conjecturing also have a place in the scientific method but it must be verified by experiments.<\/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-44c4604 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44c4604\" 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-33 elementor-inner-column elementor-element elementor-element-251c02b\" data-id=\"251c02b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2674b08\" data-id=\"2674b08\" 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-a170d02 elementor-widget elementor-widget-text-editor\" data-id=\"a170d02\" 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><img decoding=\"async\" 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\" alt=\"\" style=\"font-size: 15px; font-style: inherit; font-weight: inherit; color: rgb(34, 50, 61); font-family: &quot;Open Sans&quot;, sans-serif;\"><\/h1>\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<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-7063042\" data-id=\"7063042\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\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<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-8750d57 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8750d57\" 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-dad47af\" data-id=\"dad47af\" 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-feb4106 elementor-widget elementor-widget-text-editor\" data-id=\"feb4106\" 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;\"><span style=\"font-size: 18pt; color: #000080;\"><strong><u>PHYSICS:<\/u><\/strong><\/span>&nbsp;<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">Physics is the study of basic laws of nature and their manifestation in different natural phenomena. In physics, we attempt to explain diverse physical phenomena interms of few concepts and laws.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">In the study of Physics, there are two principal thrusts: <strong>Unification and Reductionism.<\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong><em>Unification means attempting to explain diverse physical phenomena in terms of a few concepts and laws.<\/em><\/strong> For example, the same law of gravitation given by Newton accounts for (i) fall of an apple to the ground (ii) motion of satellites around the planets (iii) motion of planets around the sun. Similarly, the basic laws of electromagnetism in the form of Maxwell\u2019s equations explain all the electric and magnetic phenomena.<\/span><\/p>\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<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-dbe78ae elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dbe78ae\" 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-da78074\" data-id=\"da78074\" 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-00bb083 elementor-widget elementor-widget-text-editor\" data-id=\"00bb083\" 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;\"><strong><em>Reductionism means attempting to derive the properties of a bigger, more complex system from the properties of its constituent simpler parts.<\/em><\/strong><\/span><\/p><p><span style=\"font-size: 14pt;\">For example, the subject of thermodynamics deals with bulk systems in terms of macroscopic quantities like temperature, pressure, internal energy, entropy etc. The later development of kinetic theory and statistical mechanics interpreted these quantities in terms of the properties of the molecular constituents of the bulk system. For example, temperature of the bulk system was related to the average kinetic energy of the molecules of the system.<\/span><\/p><p><span style=\"font-size: 14pt;\">Basically there are two parts of physics:<\/span><\/p><p><span style=\"font-size: 14pt;\"><strong>Classical Physics: <\/strong>Classical Physics deals with mainly with macroscopic phenomena and includes subjects like Mechanics, Electrodynamics, Optics and Thermodynamics.<\/span><\/p><p><span style=\"font-size: 14pt;\"><strong>Quantum Physics<\/strong>: Quantum Physics is the part of physics which is used to explain the microscopic phenomena, like constitution and structure of matter at the minute scales of atoms and nuclei, and their interaction with different probes such as electrons, photons and other elementary particles.<\/span><\/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-56ec25c elementor-widget elementor-widget-text-editor\" data-id=\"56ec25c\" 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>Fundamental Forces of Nature:<\/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-4a5ee83 elementor-widget elementor-widget-text-editor\" data-id=\"4a5ee83\" 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;\"><strong>There are four fundamental forces,<\/strong> which govern the macroscopic as well as microscopic world.<\/span><\/p><ol><li><span style=\"font-size: 14pt;\">Gravitational forces; <\/span><\/li><li><span style=\"font-size: 14pt;\">Weak nuclear forces;\u00a0<\/span><\/li><li><span style=\"font-size: 14pt;\"> Electromagnetic forces;\u00a0<\/span><\/li><li><span style=\"font-size: 14pt;\"> Strong nuclear forces.<\/span><\/li><\/ol>\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-8972d2a elementor-widget elementor-widget-text-editor\" data-id=\"8972d2a\" 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;\"><strong>(a) Gravitational forces:<\/strong><\/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-84130cc elementor-widget elementor-widget-text-editor\" data-id=\"84130cc\" 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 gravitational force is the force of mutual attraction between any two objects by virtue of their masses.<\/span><\/p><p><span style=\"font-size: 14pt; color: #000080;\"><strong>Some of the important feature\/properties of gravitational forces are:<\/strong><\/span><\/p><ol><li><span style=\"font-size: 14pt;\">Gravitational forces are universal attractive forces, i.e., they exist between microscopic as well as macroscopic objects irrespective of their size, shape, separation and intervening medium.<\/span><\/li><li><span style=\"font-size: 14pt;\">These are the weakest forces in nature.<\/span><\/li><li><span style=\"font-size: 14pt;\">They operate over very long distance especially when the bodies are massive. For example, rotation of earth around the sun is due to gravitational pull of sun on earth.<\/span><\/li><li><span style=\"font-size: 14pt;\">Gravitational forces obey inverse square law, i.e., they vary inversely as the square of the distance between the two bodies.<\/span><\/li><li><span style=\"font-size: 14pt;\">Gravitational forces are central forces, i.e., they act along the line joining the centers of two bodies.<\/span><\/li><li><span style=\"font-size: 14pt;\">Gravitational forces are conservative forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">The field particle of gravitational force is called \u2018graviton\u2019. The concept of exchange of field particle between two bodies explain how the two bodies interact from a distance.<\/span><\/li><\/ol>\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-e37fa45 elementor-widget elementor-widget-text-editor\" data-id=\"e37fa45\" 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;\"><strong>(b) Weak Nuclear Forces:<\/strong><\/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-688c6ab elementor-widget elementor-widget-text-editor\" data-id=\"688c6ab\" 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;\"><strong><em>The weak nuclear forces are the forces of interaction between elementary particles of short life times.<\/em><\/strong><\/span><\/p><p><span style=\"font-size: 14pt;\">Some of the important properties of weak nuclear forces are:<\/span><\/p><ol><li><span style=\"font-size: 14pt;\">The weak nuclear forces are 10<sup>25 <\/sup>times stronger than the gravitational forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">The weak nuclear forces exist between leptons and leptons; leptons and mesons etc.<\/span><\/li><\/ol><p><span style=\"font-size: 14pt;\">Other properties of weak nuclear forces are yet under investigation.<\/span><\/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-8192b29 elementor-widget elementor-widget-text-editor\" data-id=\"8192b29\" 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;\"><strong>(c) Electromagnetic forces:<\/strong> <\/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-3f7379d elementor-widget elementor-widget-text-editor\" data-id=\"3f7379d\" 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 electromagnetic forces are the forces between charged particles.<\/span><\/p><p><span style=\"font-size: 14pt;\">When the charges are at rest, the forces are called <strong>electrostatic forces.<\/strong> The forces between unlike charges are attractive and the forces between like charges are repulsive. These forces are governed by Coulomb\u2019s Law.<\/span><\/p><p><span style=\"font-size: 14pt;\">Some of the macroscopic forces are also explained in terms of electromagnetic forces. For example;<\/span><\/p><ul><li><span style=\"font-size: 14pt;\">Forces between two surfaces in contact.<\/span><\/li><li><span style=\"font-size: 14pt;\">Force of Friction<\/span><\/li><li><span style=\"font-size: 14pt;\">Tension in a string\/rope.<\/span><\/li><li><span style=\"font-size: 14pt;\">Forces due to a spring<\/span><\/li><\/ul><p><span style=\"font-size: 14pt;\"><strong>Some of the salient features of electromagnetic forces are:<\/strong><\/span><\/p><ol><li><span style=\"font-size: 14pt;\">These forces may be attractive or repulsive. Like charges repel each other and unlike charges attract each other.<\/span><\/li><li><span style=\"font-size: 14pt;\">These forces are governed by Coulomb\u2019s law, which are similar to Newton\u2019s law of gravitation.<\/span><\/li><li><span style=\"font-size: 14pt;\">They obey inverse square law.<\/span><\/li><li><span style=\"font-size: 14pt;\">Electrostatic forces (between two protons) are 10<sup>36<\/sup> times stronger than gravitational forces between them, for any fixed distance.<\/span><\/li><li><span style=\"font-size: 14pt;\">They operate over distance which are not very large.<\/span><\/li><li><span style=\"font-size: 14pt;\">They are also conservative forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">They are also conservative forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">The field particle of electromagnetic force is photon, which carries no charge and has zero rest mass.<\/span><\/li><\/ol>\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-eeeea61 elementor-widget elementor-widget-text-editor\" data-id=\"eeeea61\" 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;\"><strong>(d) Strong Nuclear Forces:<\/strong><\/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-07a43f1 elementor-widget elementor-widget-text-editor\" data-id=\"07a43f1\" 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 forces that bind the neutrons and protons together in a nucleus are called the strong nuclear forces.<\/span><\/p><p><span style=\"font-size: 14pt;\"><strong>Some of the salient features of nuclear forces are:<\/strong><\/span><\/p><ol><li><span style=\"font-size: 14pt;\">Nuclear forces are the strongest forces in nature. They are 10<sup>38<\/sup> times stronger than gravitational forces, 10<sup>2<\/sup> times stronger than electrostatic forces and 10<sup>13<\/sup> times stronger than the weak forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">Nuclear forces have the shortest range. They operate within the nucleus only, i.e., upto distance of the order of 10<sup>-14<\/sup> metre.<\/span><\/li><li><span style=\"font-size: 14pt;\">Nuclear forces do not depend on charge on the nucleon.<\/span><\/li><li><span style=\"font-size: 14pt;\">Nuclear forces do not obey inverse square law. They vary inversely as some higher power of distance between nucleons.<\/span><\/li><li><span style=\"font-size: 14pt;\">They are basically attractive forces. Only when distance between nucleons is less than 0.8 fermi, nuclear forces become repulsive.<\/span><\/li><li><span style=\"font-size: 14pt;\">Nuclear forces are non central forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">They are also non-conservative forces.<\/span><\/li><li><span style=\"font-size: 14pt;\">The field particle for nuclear forces is the \u2018\u03c0-meason\u2019.<\/span><\/li><\/ol><p><span style=\"font-size: 14pt;\">The relative strength of four types of basic forces in nature can be represented as<\/span><\/p><p><span style=\"font-size: 14pt;\">F<sub>G<\/sub> : F<sub>W<\/sub> : F<sub>E<\/sub> : F<sub>N<\/sub> = 1 : 10<sup>25<\/sup> : 10<sup>36<\/sup><sub> : <\/sub>10<sup>38<\/sup><\/span><\/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-e9f31bf elementor-widget elementor-widget-text-editor\" data-id=\"e9f31bf\" 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>Unification of Forces<\/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-873b84d elementor-widget elementor-widget-text-editor\" data-id=\"873b84d\" 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;\">\u201cBy unification of forces, we mean that there exists a relationship between the various forces of nature\u201d. A lot of effort have been made towards unification of different forces and domains of Physics. Some of the main achievements in the direction of unification are as follows:<\/span><\/p><table><tbody><tr><td width=\"51\"><p>S.No.<\/p><\/td><td width=\"196\"><p>Name of Physicist<\/p><\/td><td width=\"47\"><p>Year<\/p><\/td><td width=\"315\"><p>Achievement in unification<\/p><\/td><\/tr><tr><td width=\"51\"><p>1.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>Isaac Newton<\/p><\/td><td width=\"47\"><p>1687<\/p><\/td><td width=\"315\"><p>Unified terrestrial and celestial mechanics<\/p><\/td><\/tr><tr><td width=\"51\"><p>2.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>Haris Christian Oersted<\/p><\/td><td width=\"47\"><p>1820<\/p><\/td><td width=\"315\"><p>Electric and magnetic phenomena are inseparable aspects<\/p><\/td><\/tr><tr><td width=\"51\"><p>3.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>Michael Faraday<\/p><\/td><td width=\"47\"><p>1830<\/p><\/td><td width=\"315\"><p>of a unified domain: electromagnetism<\/p><\/td><\/tr><tr><td width=\"51\"><p>4.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>James Clerk Maxwell<\/p><\/td><td width=\"47\"><p>1873<\/p><\/td><td width=\"315\"><p>Unified electricity, magnetism and optics; showed that light is an electromagnetic wave.<\/p><\/td><\/tr><tr><td width=\"51\"><p>5.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>Sheldon Glashow, Abdus Salam, Steven Weinberg<\/p><\/td><td width=\"47\"><p>1979<\/p><\/td><td width=\"315\"><p>Weak nuclear forces and the electromagnetic force could by viewed as different aspects of a single electro-weak force.<\/p><\/td><\/tr><tr><td width=\"51\"><p>6.\u00a0\u00a0\u00a0 \u00a0<\/p><\/td><td width=\"196\"><p>Carlo Rubia, Simon Vander Meer<\/p><\/td><td width=\"47\"><p>1984<\/p><\/td><td width=\"315\"><p>Verified exptally the prediction of the theory of electroweak forces.<\/p><\/td><\/tr><\/tbody><\/table>\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-c6ae9e2 elementor-widget elementor-widget-text-editor\" data-id=\"c6ae9e2\" 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>Nature of Physical Laws:<\/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-f80f0da elementor-widget elementor-widget-text-editor\" data-id=\"f80f0da\" 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;\">Any physical phenomenon is governed by a number of factors (quantities), several of these quantities may change with time. But a remarkable fact is that there are some special physical quantities which remain constant in time. These are called the conserved quantities of nature. Understanding the conservation principles is very important in describing the natural phenomena quantitavely. Conservation laws are in fact important tools of analysis.<\/span><\/p><p><span style=\"font-size: 14pt;\">In Classical Physics, we often deal with the following conservation laws:<\/span><\/p><ol><li><span style=\"font-size: 14pt;\">Law of conservation of energy\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li><li><span style=\"font-size: 14pt;\">Law of conservation of linear momentum<\/span><\/li><li><span style=\"font-size: 14pt;\">Law of conservation of angular momentum<\/span><\/li><li><span style=\"font-size: 14pt;\">Law of conservation of charge<\/span><\/li><\/ol><p><span style=\"font-size: 14pt;\">A brief discussion of these laws is given here:<\/span><\/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-f5c553f elementor-widget elementor-widget-text-editor\" data-id=\"f5c553f\" 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;\"><strong>(a) Law of conservation of energy<\/strong><\/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-39cab13 elementor-widget elementor-widget-text-editor\" data-id=\"39cab13\" 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;\">According to this law,<\/span><\/p><p><span style=\"font-size: 14pt;\">\u201cThe sum total of energy of all kinds in this universe remains constant\u201d. Energy can neither be created nor it can be destroyed, it can only be transformed form one form to the other or transported from one place to the other, but the total amount of energy of never changes.<\/span><\/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-053086c elementor-widget elementor-widget-text-editor\" data-id=\"053086c\" 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;\"><strong>(b) Law of conservation of linear momentum<\/strong><\/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-8b35aa2 elementor-widget elementor-widget-text-editor\" data-id=\"8b35aa2\" 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;\">\u201cIn the absence of an external force, the linear momentum of a system remains unchanged.\u201d<\/span><\/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-a3f39f1 elementor-widget elementor-widget-text-editor\" data-id=\"a3f39f1\" 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;\"><strong>(c) Law of conservation of angular momentum<\/strong><\/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-b4d0f3d elementor-widget elementor-widget-text-editor\" data-id=\"b4d0f3d\" 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;\">We know that a rotating has inertia. Therefore, such an object also possesses momentum associated with its rotation. This momentum is called \u2018angular momentum\u2019.\u00a0<\/span><\/p><p><span style=\"font-size: 14pt;\"> Angular momentum (L) = moment of inertia (I) \u00d7 angular speed (\u03c9)<\/span><\/p><p><span style=\"font-size: 14pt;\">According to the law of conservation of angular momentum:<\/span><\/p><p><span style=\"font-size: 14pt;\">\u201cIf the total external torque acting on a system is zero, angular momentum of the system remains constant\u201d.<\/span><\/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-2946c5f elementor-widget elementor-widget-text-editor\" data-id=\"2946c5f\" 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;\"><strong>(d) Law of conservation of charge<\/strong><\/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-4c90976 elementor-widget elementor-widget-text-editor\" data-id=\"4c90976\" 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;\">\u201cIf means that charges (in the form of electron) are neither created nor destroyed, but are simply transferred from one body of another\u201d.<\/span><\/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-f2f888e elementor-widget elementor-widget-text-editor\" data-id=\"f2f888e\" 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;\"><strong>Einstein\u2019s Mass- Energy Equivalence Relation:<\/strong><\/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-ad8df16 elementor-widget elementor-widget-text-editor\" data-id=\"ad8df16\" 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;\">According to Einstein\u2019s theory mass is equivalent to energy. \u201cWhen a material body of mass \u2018m\u2019 (kg) is converted completely into energy the amount of energy liberated (in J) is <span style=\"color: #333399;\"><strong>E = mc<sup>2 <\/sup><\/strong><\/span>\u201d<\/span><\/p><p><span style=\"font-size: 14pt;\">Where c is the speed of light in free space.<\/span><\/p><p><span style=\"font-size: 14pt;\">In a nuclear process mass gets converted to energy(or vice-versa). This is the energy which is released in nuclear power generation and nuclear explosion.<\/span><\/p>\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\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>Physical World Science is a systematic attempt to understand natural phenomena in as much detail and depth as possible, and use the knowledge so gained to predict, modify and control phenomena. The scientific method involves the following steps: Taking a large number of systematic observations through controlled experiments. Studying these observations and looking for their &#8230; <a title=\"Physical World\" class=\"read-more\" href=\"https:\/\/physics.educour.in\/isc-physics\/physical-world\/\" aria-label=\"More on Physical World\">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-5774","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\/5774","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=5774"}],"version-history":[{"count":13,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/5774\/revisions"}],"predecessor-version":[{"id":5788,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/5774\/revisions\/5788"}],"wp:attachment":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/media?parent=5774"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/categories?post=5774"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/tags?post=5774"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/post_folder?post=5774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}