{"id":162856,"date":"2026-02-02T15:06:19","date_gmt":"2026-02-02T15:06:19","guid":{"rendered":"https:\/\/news.gyankatta.org\/?p=162856"},"modified":"2026-02-02T17:02:16","modified_gmt":"2026-02-02T17:02:16","slug":"mechanical-properties-of-solids","status":"publish","type":"post","link":"https:\/\/news.gyankatta.org\/?p=162856","title":{"rendered":"Class XI Physics: Mechanical Properties of Solids"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Beyond Rigidity: The Science of Elasticity and Plasticity<\/h1>\n\n\n\n<p>In previous chapters, we treated solids as &#8220;rigid bodies&#8221;\u2014perfectly stiff objects that never change shape.<sup><\/sup> In the real world, every solid is a bit like a spring. Whether it\u2019s a steel bridge, a rubber band, or a bone in your body, every material stretches, compresses, or twists when a force is applied.<\/p>\n\n\n\n<p>Understanding the mechanical properties of solids is the difference between a skyscraper that stands for a century and one that collapses under its own weight.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">The Core Pillars of Solid Mechanics<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. Stress and Strain<\/h3>\n\n\n\n<p>These are the two fundamental metrics of deformation:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Stress (\u03c3):<\/strong> The internal restoring force per unit area. It\u2019s what the material &#8220;feels&#8221; internally.<\/li>\n\n\n\n<li><strong>Strain (\u03b5):<\/strong> The fractional change in dimension (length, volume, or shape). It\u2019s how the material &#8220;reacts.&#8221;<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. Hooke&#8217;s Law and Moduli<\/h3>\n\n\n\n<p>For small deformations, Stress is proportional to Strain.<sup><\/sup> The constant of proportionality is the <strong>Modulus of Elasticity<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Young\u2019s Modulus (Y):<\/strong> Resistance to change in length (stretching\/compression).<\/li>\n\n\n\n<li><strong>Bulk Modulus (B):<\/strong> Resistance to change in volume (squeezing from all sides).<\/li>\n\n\n\n<li><strong>Shear Modulus (G):<\/strong> Resistance to change in shape (sliding layers).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. The Stress-Strain Curve<\/h3>\n\n\n\n<p>This graph is the &#8220;personality profile&#8221; of a material. It shows exactly when a material will bounce back (Elastic region), when it will stay permanently bent (Plastic region), and when it will snap (Fracture point).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">The Gauntlet: 10 Challenging Aptitude Questions<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Question 1: The Dual-Wire Hanging<\/h3>\n\n\n\n<p>Two wires, one of steel and one of brass, are joined end-to-end. The steel wire has a length of 1.5m and the brass wire 1.0m. Both have a diameter of 0.25 cm. When a load is hung from the bottom, which wire will stretch more, and what is the ratio of their elongations? (Y_steel = 2.0 \u00d7 10\u00b9\u00b9 Pa, Y_brass = 0.91 \u00d7 10\u00b9\u00b9 Pa).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 2: Thermal Stress Trap<\/h3>\n\n\n\n<p>A steel rod is clamped at both ends so that it cannot expand. If the temperature is lowered, the rod experiences &#8220;Thermal Stress.&#8221; If the rod&#8217;s length is <strong>L<\/strong>, its area is <strong>A<\/strong>, and the temperature change is <strong>\u0394T<\/strong>, find the tension developed in the rod. (Use coefficient of linear expansion <strong>\u03b1<\/strong>).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 3: The Squeezed Sphere<\/h3>\n\n\n\n<p>A solid copper sphere is taken to the bottom of the ocean where the pressure is 10\u2077 Pa. If the Bulk Modulus of copper is 1.4 \u00d7 10\u00b9\u00b9 Pa, what is the percentage change in the <strong>volume<\/strong> of the sphere?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 4: Shear in a Tall Building<\/h3>\n\n\n\n<p>A square lead slab of side 50 cm and thickness 10 cm is subjected to a shearing force of 9 \u00d7 10\u2074 N on its narrow face.<sup><\/sup> The lower edge is riveted to the floor. How much will the upper edge be displaced? (Shear Modulus G = 5.6 \u00d7 10\u2079 Pa).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 5: Potential Energy of a Stretched Wire<\/h3>\n\n\n\n<p>Prove that the work done in stretching a wire (Elastic Potential Energy) is equal to <strong>\u00bd \u00d7 Stress \u00d7 Strain \u00d7 Volume<\/strong>. Why is there a factor of \u00bd?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 6: The Breaking Stress Limit<\/h3>\n\n\n\n<p>A heavy chandelier of mass <strong>M<\/strong> is suspended by a steel wire. If the breaking stress of steel is <strong>S<\/strong>, what is the minimum radius the wire must have to support the chandelier with a safety factor of 5?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 7: The &#8220;Rubber vs. Steel&#8221; Paradox<\/h3>\n\n\n\n<p>In physics, we say steel is &#8220;more elastic&#8221; than rubber.<sup><\/sup> Explain why this is true conceptually using the definition of Young&#8217;s Modulus.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 8: Poisson\u2019s Ratio and Density<\/h3>\n\n\n\n<p>When a wire is stretched, its length increases but its diameter decreases. If Poisson\u2019s ratio (<strong>\u03c3<\/strong>) is 0.5, what happens to the total <strong>volume<\/strong> of the wire? (Hint: Calculate the fractional change in volume).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 9: The Energy Density Challenge<\/h3>\n\n\n\n<p>Two wires of the same material have lengths in the ratio <strong>1:2<\/strong> and radii in the ratio <strong>2:1<\/strong>. If they are stretched by the same force, find the ratio of the elastic potential energy stored in them.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 10: The Composite Rod Equilibrium<\/h3>\n\n\n\n<p>A rod consists of two halves\u2014one aluminum and one steel\u2014joined together. If the rod is subjected to a compressive force, do both halves experience the same stress? Do they experience the same strain?<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Detailed Explanations &amp; Solutions<\/h2>\n\n\n\n<p><strong>1. Elongation Ratio<\/strong><\/p>\n\n\n\n<p>Since the wires are in series, the Force (Tension) is the same for both.<\/p>\n\n\n\n<p>\u0394L = (F \u00d7 L) \/ (A \u00d7 Y). Since F and A are constant, \u0394L \u221d L\/Y.<\/p>\n\n\n\n<p>Ratio (Steel\/Brass) = (L\u209b\/Y\u209b) \/ (L_b\/Y_b) = (1.5 \/ 2.0) \/ (1.0 \/ 0.91) = 0.75 \/ 1.09 \u2248 <strong>0.68<\/strong>.<\/p>\n\n\n\n<p><strong>Result: Brass stretches more.<\/strong><\/p>\n\n\n\n<p><strong>2. Thermal Stress<\/strong><\/p>\n\n\n\n<p>\u0394L (thermal) = L\u03b1\u0394T. But the clamps prevent this change, so the &#8220;elastic&#8221; strain is \u03b1\u0394T.<\/p>\n\n\n\n<p>Stress = Y \u00d7 Strain = Y\u03b1\u0394T.<\/p>\n\n\n\n<p>Tension (Force) = Stress \u00d7 Area.<\/p>\n\n\n\n<p><strong>Result: F = YA\u03b1\u0394T.<\/strong><\/p>\n\n\n\n<p><strong>3. Bulk Compression<\/strong><\/p>\n\n\n\n<p>Bulk Modulus B = \u0394P \/ (\u0394V\/V).<sup><\/sup><\/p>\n\n\n\n<p>(\u0394V\/V) = \u0394P \/ B = 10\u2077 \/ (1.4 \u00d7 10\u00b9\u00b9).<\/p>\n\n\n\n<p>Fractional change = 0.71 \u00d7 10\u207b\u2074.<\/p>\n\n\n\n<p><strong>Result: Percentage change = 0.0071%.<\/strong><\/p>\n\n\n\n<p><strong>4. Shearing Displacement<\/strong><\/p>\n\n\n\n<p>\u0394x = (F \u00d7 h) \/ (A \u00d7 G).<\/p>\n\n\n\n<p>Here, height <strong>h<\/strong> = 0.5m, Area <strong>A<\/strong> (where force is applied) = 0.5m \u00d7 0.1m = 0.05 m\u00b2.<\/p>\n\n\n\n<p>\u0394x = (9 \u00d7 10\u2074 \u00d7 0.5) \/ (0.05 \u00d7 5.6 \u00d7 10\u2079).<\/p>\n\n\n\n<p><strong>Result: \u0394x \u2248 0.16 mm.<\/strong><\/p>\n\n\n\n<p><strong>5. Elastic Potential Energy<\/strong><\/p>\n\n\n\n<p>The force is not constant; it starts at 0 and increases linearly to <strong>F<\/strong> as the wire stretches.<sup><\/sup> The average force is <strong>F\/2<\/strong>.<\/p>\n\n\n\n<p>Work = Average Force \u00d7 Extension = (F\/2) \u00d7 \u0394L.<\/p>\n\n\n\n<p>Multiply and divide by (A \u00d7 L) to get the Stress\/Strain form.<\/p>\n\n\n\n<p><strong>Result: Energy = \u00bd \u00d7 Stress \u00d7 Strain \u00d7 Volume.<\/strong><\/p>\n\n\n\n<p><strong>6. Safety Factor<\/strong><\/p>\n\n\n\n<p>Required Stress = Breaking Stress \/ Safety Factor = S\/5.<\/p>\n\n\n\n<p>Force = Mg. Area = \u03c0r\u00b2.<\/p>\n\n\n\n<p>Mg \/ \u03c0r\u00b2 = S\/5 \u2192 r\u00b2 = 5Mg \/ \u03c0S.<\/p>\n\n\n\n<p><strong>Result: r = \u221a(5Mg \/ \u03c0S).<\/strong><\/p>\n\n\n\n<p><strong>7. The Elasticity Paradox<\/strong><\/p>\n\n\n\n<p>Elasticity is defined by how much <strong>force<\/strong> is required to produce a certain strain. Because steel requires a massive force to stretch even a tiny bit, its Young&#8217;s Modulus is much higher than rubber&#8217;s.<sup><\/sup><\/p>\n\n\n\n<p><strong>Result: Higher Modulus = More Elastic.<\/strong><\/p>\n\n\n\n<p><strong>8. Poisson\u2019s Ratio (\u03c3)<\/strong><\/p>\n\n\n\n<p>Fractional change in volume <strong>dV\/V = (dL\/L)(1 &#8211; 2\u03c3)<\/strong>.<\/p>\n\n\n\n<p>If <strong>\u03c3 = 0.5<\/strong>, then <strong>(1 &#8211; 2(0.5)) = 0<\/strong>.<\/p>\n\n\n\n<p><strong>Result: The volume remains constant.<\/strong><\/p>\n\n\n\n<p><strong>9. Energy Ratio<\/strong><\/p>\n\n\n\n<p>Energy U = F\u00b2L \/ (2AY). Since F and Y are constant, U \u221d L\/A \u221d L\/r\u00b2.<\/p>\n\n\n\n<p>Ratio = (L\u2081\/r\u2081\u00b2) \/ (L\u2082\/r\u2082\u00b2) = (1 \/ 2\u00b2) \/ (2 \/ 1\u00b2) = (1\/4) \/ 2 = <strong>1\/8<\/strong>.<\/p>\n\n\n\n<p><strong>Result: 1 : 8.<\/strong><\/p>\n\n\n\n<p><strong>10. Composite Rod<\/strong><\/p>\n\n\n\n<p>Since they are in series, the Force is the same, so the <strong>Stress (F\/A) is the same<\/strong>.<\/p>\n\n\n\n<p>However, because they have different Young&#8217;s Moduli, the <strong>Strain will be different<\/strong>.<\/p>\n\n\n\n<p><strong>Result: Same Stress, Different Strain.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Key Summary: The &#8220;Stiffness&#8221; Hierarchy<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Modulus<\/strong><\/td><td><strong>Symbol<\/strong><\/td><td><strong>Type of Deformation<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>Young&#8217;s<\/strong><\/td><td>Y<\/td><td>Length (Wires\/Rods)<\/td><\/tr><tr><td><strong>Bulk<\/strong><\/td><td>B<\/td><td>Volume (Fluids\/Solids under pressure)<\/td><\/tr><tr><td><strong>Shear<\/strong><\/td><td>G<\/td><td>Shape (Twisting\/Sliding)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Beyond Rigidity: The Science of Elasticity and Plasticity In previous chapters, we treated solids as &#8220;rigid bodies&#8221;\u2014perfectly stiff objects that never change shape. In the real world, every solid is a bit like a spring. Whether it\u2019s a steel bridge, a rubber band, or a bone in your body, every material stretches, compresses, or twists [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[52,3,53,14],"tags":[],"class_list":["post-162856","post","type-post","status-publish","format-standard","hentry","category-class-xi-physics","category-education","category-jee","category-neet","cat-52-id","cat-3-id","cat-53-id","cat-14-id"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Class XI Physics: Mechanical Properties of Solids - Gyankatta<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/news.gyankatta.org\/?p=162856\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Class XI Physics: Mechanical Properties of Solids - Gyankatta\" \/>\n<meta property=\"og:description\" content=\"Beyond Rigidity: The Science of Elasticity and Plasticity In previous chapters, we treated solids as &#8220;rigid bodies&#8221;\u2014perfectly stiff objects that never change shape. In the real world, every solid is a bit like a spring. Whether it\u2019s a steel bridge, a rubber band, or a bone in your body, every material stretches, compresses, or twists [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/news.gyankatta.org\/?p=162856\" \/>\n<meta property=\"og:site_name\" content=\"Gyankatta\" \/>\n<meta property=\"article:published_time\" content=\"2026-02-02T15:06:19+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-02T17:02:16+00:00\" \/>\n<meta name=\"author\" content=\"sBagul\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"sBagul\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856\"},\"author\":{\"name\":\"sBagul\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/#\\\/schema\\\/person\\\/ba6f7a4ee74e137c4c2b2c991b4f28e9\"},\"headline\":\"Class XI Physics: Mechanical Properties of Solids\",\"datePublished\":\"2026-02-02T15:06:19+00:00\",\"dateModified\":\"2026-02-02T17:02:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856\"},\"wordCount\":1005,\"commentCount\":0,\"articleSection\":[\"Class XI Physics\",\"education\",\"JEE\",\"NEET\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856\",\"url\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856\",\"name\":\"Class XI Physics: Mechanical Properties of Solids - Gyankatta\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/#website\"},\"datePublished\":\"2026-02-02T15:06:19+00:00\",\"dateModified\":\"2026-02-02T17:02:16+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/#\\\/schema\\\/person\\\/ba6f7a4ee74e137c4c2b2c991b4f28e9\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/?p=162856#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/news.gyankatta.org\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Class XI Physics: Mechanical Properties of Solids\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/#website\",\"url\":\"https:\\\/\\\/news.gyankatta.org\\\/\",\"name\":\"Gyankatta\",\"description\":\"Online Examination, Speed and Efficiency\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/news.gyankatta.org\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/news.gyankatta.org\\\/#\\\/schema\\\/person\\\/ba6f7a4ee74e137c4c2b2c991b4f28e9\",\"name\":\"sBagul\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g\",\"caption\":\"sBagul\"},\"url\":\"https:\\\/\\\/news.gyankatta.org\\\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Class XI Physics: Mechanical Properties of Solids - Gyankatta","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/news.gyankatta.org\/?p=162856","og_locale":"en_US","og_type":"article","og_title":"Class XI Physics: Mechanical Properties of Solids - Gyankatta","og_description":"Beyond Rigidity: The Science of Elasticity and Plasticity In previous chapters, we treated solids as &#8220;rigid bodies&#8221;\u2014perfectly stiff objects that never change shape. In the real world, every solid is a bit like a spring. Whether it\u2019s a steel bridge, a rubber band, or a bone in your body, every material stretches, compresses, or twists [&hellip;]","og_url":"https:\/\/news.gyankatta.org\/?p=162856","og_site_name":"Gyankatta","article_published_time":"2026-02-02T15:06:19+00:00","article_modified_time":"2026-02-02T17:02:16+00:00","author":"sBagul","twitter_card":"summary_large_image","twitter_misc":{"Written by":"sBagul","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/news.gyankatta.org\/?p=162856#article","isPartOf":{"@id":"https:\/\/news.gyankatta.org\/?p=162856"},"author":{"name":"sBagul","@id":"https:\/\/news.gyankatta.org\/#\/schema\/person\/ba6f7a4ee74e137c4c2b2c991b4f28e9"},"headline":"Class XI Physics: Mechanical Properties of Solids","datePublished":"2026-02-02T15:06:19+00:00","dateModified":"2026-02-02T17:02:16+00:00","mainEntityOfPage":{"@id":"https:\/\/news.gyankatta.org\/?p=162856"},"wordCount":1005,"commentCount":0,"articleSection":["Class XI Physics","education","JEE","NEET"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/news.gyankatta.org\/?p=162856#respond"]}]},{"@type":"WebPage","@id":"https:\/\/news.gyankatta.org\/?p=162856","url":"https:\/\/news.gyankatta.org\/?p=162856","name":"Class XI Physics: Mechanical Properties of Solids - Gyankatta","isPartOf":{"@id":"https:\/\/news.gyankatta.org\/#website"},"datePublished":"2026-02-02T15:06:19+00:00","dateModified":"2026-02-02T17:02:16+00:00","author":{"@id":"https:\/\/news.gyankatta.org\/#\/schema\/person\/ba6f7a4ee74e137c4c2b2c991b4f28e9"},"breadcrumb":{"@id":"https:\/\/news.gyankatta.org\/?p=162856#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/news.gyankatta.org\/?p=162856"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/news.gyankatta.org\/?p=162856#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/news.gyankatta.org\/"},{"@type":"ListItem","position":2,"name":"Class XI Physics: Mechanical Properties of Solids"}]},{"@type":"WebSite","@id":"https:\/\/news.gyankatta.org\/#website","url":"https:\/\/news.gyankatta.org\/","name":"Gyankatta","description":"Online Examination, Speed and Efficiency","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/news.gyankatta.org\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/news.gyankatta.org\/#\/schema\/person\/ba6f7a4ee74e137c4c2b2c991b4f28e9","name":"sBagul","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/276ef0d75fcc5d663d2921ae3c0f1070d894ce89b14c9ddfe3369ebe20b7cbe5?s=96&r=g","caption":"sBagul"},"url":"https:\/\/news.gyankatta.org\/?author=1"}]}},"views":50,"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/posts\/162856","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=162856"}],"version-history":[{"count":2,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/posts\/162856\/revisions"}],"predecessor-version":[{"id":162858,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=\/wp\/v2\/posts\/162856\/revisions\/162858"}],"wp:attachment":[{"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=162856"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=162856"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/news.gyankatta.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=162856"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}