{"id":11088,"date":"2026-06-04T15:16:27","date_gmt":"2026-06-04T15:16:27","guid":{"rendered":"https:\/\/www.vedprep.com\/exams\/?p=11088"},"modified":"2026-06-04T15:16:27","modified_gmt":"2026-06-04T15:16:27","slug":"solution-of-wave-equation","status":"publish","type":"post","link":"https:\/\/www.vedprep.com\/exams\/csir-net\/solution-of-wave-equation\/","title":{"rendered":"Solution of Wave equation For CSIR NET"},"content":{"rendered":"<h1>Solution of Wave Equation for CSIR NET: A Complete Approach<\/h1>\n<p><strong>Direct Answer: <\/strong>The <strong>Solution of Wave equation For CSIR NET <\/strong>is a required concept in mathematical physics, necessary for CSIR NET and other competitive exams. It involves separating the variables and applying boundary conditions to obtain a general <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/p>\n<h2>Syllabus: Mathematical Physics for CSIR NET and IIT JAM<\/h2>\n<p>Mathematical Physics is a necessary part of the syllabus for CSIR NET and IIT JAM. The topic of <strong>Solution of Wave equation For CSIR NET <\/strong>falls under this unit. Specifically, it is included in Unit 2: Mathematical Methods of the CSIR NET syllabus, which covers <strong>Solution of Wave equation For CSIR NET <\/strong>and other essential topics. Key topics are emphasized.<\/p>\n<p>The wave equation is a fundamental concept in Mathematical Physics, describing the propagation of waves in various physical systems using the <strong>Solution of Wave equation For CSIR NET<\/strong>. Students preparing for CSIR NET and IIT JAM should focus on understanding the mathematical techniques used to solve the wave equation for <strong>Solution of Wave equation For CSIR NET<\/strong>. A deep understanding of these techniques helps in solving complex problems.<\/p>\n<p>For reference, students can consult standard textbooks such as:<\/p>\n<ul>\n<li><strong>Mathematical Methods in the Physical Sciences <\/strong>by Mary L. Boas, which includes <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<li><strong>Mathematical Physics <\/strong>by Sadri Hassani, which provides complete coverage of <strong>Solution of Wave equation For CSIR NET <\/strong>and other mathematical methods.<\/li>\n<\/ul>\n<p>These textbooks provide complete coverage of mathematical methods, including the <strong>Solution of Wave equation For CSIR NET<\/strong>, and are essential resources for students preparing for these exams. They offer in-depth explanations and examples.<\/p>\n<h2>Solution of <a href=\"https:\/\/en.wikipedia.org\/wiki\/Wave_equation\" rel=\"nofollow noopener\" target=\"_blank\">Wave Equation<\/a> For CSIR NET: An Introduction to Solution of Wave equation For CSIR NET<\/h2>\n<p>The wave equation is a <strong>linear partial differential equation <\/strong>that describes the propagation of waves in a medium using <strong>Solution of Wave equation For CSIR NET<\/strong>. It is a fundamental concept in physics, engineering, and mathematics, and its <strong>Solution of Wave equation For CSIR NET <\/strong>is essential in understanding various phenomena, such as sound waves, light waves, and water waves. Simply put, waves are everywhere.<\/p>\n<p>The wave equation is a second-order partial differential equation that can be written in the form<code>\u2202\u00b2u\/\u2202t\u00b2 = c\u00b2\u2207\u00b2u<\/code>, where <em>u <\/em>is the wave function, <em>t <\/em>is time, <em>c <\/em>is the wave speed, and<em>\u2207\u00b2 <\/em>is the <strong>Laplacian operator <\/strong>used in <strong>Solution of Wave equation For CSIR NET<\/strong>. The <strong>Solution of Wave equation For CSIR NET <\/strong>provides valuable insights into the behavior of waves in different media. This equation has far-reaching implications.<\/p>\n<p>The <strong>solution of the wave equation for CSIR NET <\/strong>involves finding the wave function <em>u <\/em>that satisfies the given initial and boundary conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>. This <strong>Solution of Wave equation For CSIR NET <\/strong>has numerous applications in various fields, including physics, engineering, and mathematics, particularly in <strong>wave propagation<\/strong>, <strong>signal processing<\/strong>, and <strong>vibration analysis <\/strong>using <strong>Solution of Wave equation For CSIR NET<\/strong>. Applications are vast; one key area is acoustics.<\/p>\n<h2>Solution of Wave equation For CSIR NET and Its Applications<\/h2>\n<p>The method of separation of variables is a technique used to solve the wave equation, a partial differential equation that describes the propagation of waves using <strong>Solution of Wave equation For CSIR NET<\/strong>. This method involves assuming a solution of the form $u(x,t) = X(x)T(t)$, where $X(x)$ is a function of $x$ only and $T(t)$ is a function of $t$ only for <strong>Solution of Wave equation For CSIR NET<\/strong>. Then, we separate variables.<\/p>\n<p>Substituting this into the wave equation, $\\frac{\\partial^2 u}{\\partial t^2} = c^2 \\frac{\\partial^2 u}{\\partial x^2}$, yields $X(x)T&#8221;(t) = c^2 X&#8221;(x)T(t)$ for <strong>Solution of Wave equation For CSIR NET<\/strong>. Rearranging, $\\frac{T&#8221;(t)}{c^2 T(t)} = \\frac{X&#8221;(x)}{X(x)}$. Since the left-hand side depends only on $t$ and the right-hand side only on $x$, both sides must equal a constant, say $-\\lambda$ for <strong>Solution of Wave equation For CSIR NET<\/strong>; this is a crucial step.<\/p>\n<p>This results in two separate equations: $T&#8221;(t) + \\lambda c^2 T(t) = 0$ and $X&#8221;(x) + \\lambda X(x) = 0$ for <strong>Solution of Wave equation For CSIR NET<\/strong>. The <strong>Solution of Wave equation For CSIR NET <\/strong>is then obtained by applying boundary conditions to these equations. <strong>Eigenvalues <\/strong>and <em>eigen functions <\/em>are determined, which help in constructing the general <strong>Solution of Wave equation For CSIR NET<\/strong>; they are critical in defining the solution.<\/p>\n<h2>Solution of Wave equation For CSIR NET: A Detailed Analysis<\/h2>\n<p>The wave equation, a fundamental partial differential equation in physics, is given by<code>\u2202\u00b2u\/\u2202t\u00b2 = c\u00b2 \u2202\u00b2u\/\u2202x\u00b2<\/code>, where <em>u(x,t) <\/em>represents the wave function, <em>c <\/em>is the wave speed, <em>x <\/em>is the spatial coordinate, and <em>t <\/em>is time, all crucial for <strong>Solution of Wave equation For CSIR NET<\/strong>. The <strong>Solution of Wave equation For CSIR NET <\/strong>is crucial in various fields, including physics and engineering; it has significant practical implications.<\/p>\n<p>Consider a string of length <em>L <\/em>fixed at both ends, with initial displacement <em>f(x) <\/em>and initial velocity <em>g(x) <\/em>for <strong>Solution of Wave equation For CSIR NET<\/strong>. The boundary conditions are <code>u(0,t) = u(L,t) = 0<\/code>, and the initial conditions are <code>u(x,0) = f(x)<\/code>and <code>\u2202u\/\u2202t(x,0) = g(x)<\/code>for <strong>Solution of Wave equation For CSIR NET<\/strong>. The task is to find the wave function <em>u(x,t) <\/em>using <strong>Solution of Wave equation For CSIR NET<\/strong>. Solving this requires careful analysis.<\/p>\n<p>To solve this problem, assume a solution of the form <code>u(x,t) = X(x)T(t)<\/code>for <strong>Solution of Wave equation For CSIR NET<\/strong>. Substituting into the wave equation yields <code>T''(t)\/c\u00b2T(t) = X''(x)\/X(x)<\/code>for <strong>Solution of Wave equation For CSIR NET<\/strong>. Since the left-hand side depends only on <em>t <\/em>and the right-hand side only on <em>x<\/em>, both sides must equal a constant, say<code>-\u03bb<\/code>for<strong>Solution of Wave equation For CSIR NET<\/strong>; this constant is key. This leads to two ordinary differential equations: <code>X''(x) + \u03bbX(x) = 0 <\/code>and <code>T''(t) + \u03bbc\u00b2T(t) = 0 <\/code>for <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/p>\n<p>Applying the boundary conditions, <code>X(0) = X(L) = 0<\/code>, yields non-trivial solutions only for<code>\u03bb = (n\u03c0\/L)\u00b2<\/code>,<em>n<\/em>= 1, 2, 3, \u2026. The general <strong>Solution of Wave equation For CSIR NET <\/strong>is then <code>u(x,t) = \u2211[A_n cos(n\u03c0ct\/L) + B_n sin(n\u03c0ct\/L)] sin(n\u03c0x\/L)<\/code>, where <em>A_ n <\/em>and <em>B_ n <\/em>are determined from the initial conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>; initial conditions are critical.<\/p>\n<h2>Advanced Topics in Wave Equation<\/h2>\n<p>Many students assume that the wave equation can be solved using separation of variables for <strong>Solution of Wave equation For CSIR NET<\/strong>. This method involves assuming a solution of the form $u(x,t) = X(x)T(t)$ and then separating the variables to obtain two ordinary differential equations for <strong>Solution of Wave equation For CSIR NET<\/strong>. However, this approach is only applicable for certain types of boundary conditions, such as homogeneous Dirichlet or Neumann conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>; limitations exist.<\/p>\n<p>The separation of variables method may not work for more complex boundary conditions, such as non-homogeneous or mixed boundary conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>. In such cases, other methods like the Fourier transform or the Laplace transform may be necessary to solve the wave equation for <strong>Solution of Wave equation For CSIR NET<\/strong>. For instance, the Fourier transform can be used to solve the wave equation with a non-homogeneous term or a non-zero initial condition for <strong>Solution of Wave equation For CSIR NET<\/strong>; these are advanced techniques.<\/p>\n<p><strong>Separation of variables is not a universal solution method <\/strong>for <strong>Solution of Wave equation For CSIR NET<\/strong>. Students should be aware of the limitations of this method and be prepared to apply other techniques, such as transform methods, to solve the wave equation for different types of boundary conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>. A clear understanding of these methods is essential for solving the wave equation in the context of <em>Solution of Wave equation For CSIR NET <\/em>and other related exams; expertise in these areas is beneficial.<\/p>\n<h2>Application: Real-World Applications of Wave Equation and Solution of Wave equation For CSIR NET<\/h2>\n<p>The wave equation has numerous applications in physics, engineering, and other fields using <strong>Solution of Wave equation For CSIR NET<\/strong>. It is a fundamental concept in the study of wave propagation, and its <strong>Solution of Wave equation For CSIR NET <\/strong>is crucial for understanding various phenomena. The wave equation is used to model the behavior of waves in various mediums, including strings, membranes, and electromagnetic waves using <strong>Solution of Wave equation For CSIR NET<\/strong>. Applications are diverse.<\/p>\n<p>In the field of physics, the wave equation is used to describe the propagation of sound waves, light waves, and other types of waves using <strong>Solution of Wave equation For CSIR NET<\/strong>. For example, in the study of <em>electromagnetic waves<\/em>, the wave equation is used to model the behavior of waves in free space and in various mediums for <strong>Solution of Wave equation For CSIR NET<\/strong>. This has numerous applications in fields such as <strong>optics <\/strong>and <strong>telecommunications <\/strong>using <strong>Solution of Wave equation For CSIR NET<\/strong>; telecommunications rely heavily on wave propagation.<\/p>\n<ul>\n<li>In <strong>seismology<\/strong>, the wave equation is used to study the propagation of seismic waves generated by earthquakes using <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<li>In <strong>medical imaging<\/strong>, the wave equation is used in <strong>ultrasound imaging <\/strong>to study the propagation of sound waves in tissues for <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<\/ul>\n<p>The wave equation operates under certain constraints, such as the assumption of a <em>linear medium <\/em>and the neglect of <strong>nonlinear effects <\/strong>for <strong>Solution of Wave equation For CSIR NET<\/strong>. It is widely used in research and laboratory settings to study wave propagation and has numerous practical applications in fields such as engineering, physics, and medicine using <strong>Solution of Wave equation For CSIR NET<\/strong>; practical applications are significant.<\/p>\n<h2>Problem-Solving Strategies for Wave Equation<\/h2>\n<p>When solving wave equation problems, it is essential to carefully read and understand the boundary conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>. The wave equation, a partial differential equation, describes how a wave propagates through a medium using <strong>Solution of Wave equation For CSIR NET<\/strong>. <strong>Separation of variables <\/strong>is a commonly used method to solve the wave equation for <strong>Solution of Wave equation For CSIR NET<\/strong>. Students should master this method.<\/p>\n<p><a href=\"https:\/\/www.vedprep.com\/\">VedPrep<\/a> offers expert guidance and comprehensive resources to help students master the <strong>Solution of Wave equation For CSIR NET<\/strong>. Key steps to solve wave equation problems include:<\/p>\n<ul>\n<li>Carefully reading and understanding the boundary conditions for <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<li>Using the method of separation of variables or other suitable methods to obtain a general <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<li>Applying the initial conditions to obtain a specific <strong>Solution of Wave equation For CSIR NET<\/strong>.<\/li>\n<\/ul>\n<p>These steps are essential; practice is key.<\/p>\n<h2>Conclusion and Future Directions<\/h2>\n<p>The <strong>wave equation<\/strong>, a fundamental concept in mathematical physics, describes the propagation of waves in various physical systems using <strong>Solution of Wave equation For CSIR NET<\/strong>. Solving this equation is crucial for understanding wave phenomena in fields like physics, engineering, and mathematics for <strong>Solution of Wave equation For CSIR NET<\/strong>. A thorough understanding is necessary.<\/p>\n<p>The <strong>Solution of Wave equation For CSIR NET <\/strong>requires careful application of <em>boundary conditions <\/em>and <em>initial conditions <\/em>for <strong>Solution of Wave equation For CSIR NET<\/strong>. These conditions are essential to obtain a unique <strong>Solution of Wave equation For CSIR NET <\/strong>that accurately models real-world wave behavior. One area for future research is in nonlinear wave equations.<\/p>\n<p>By following a systematic approach and practicing regularly, students can become proficient in solving the wave equation and tackle complex problems with confidence for <strong>Solution of Wave equation For CSIR NET<\/strong>. A thorough grasp of this topic is essential for success in CSIR NET, IIT JAM, and GATE exams related to <strong>Solution of Wave equation For CSIR NET<\/strong>. The future of wave equation research is promising; it has many applications.<\/p>\n<section class=\"vedprep-faq\">\n<h2>Frequently Asked Questions<\/h2>\n<h3>Core Understanding<\/h3>\n<div class=\"faq-item\">\n<h4>What is the wave equation?<\/h4>\n<p>The wave equation is a partial differential equation (PDE) that describes the propagation of waves, given by \u2202\u00b2u\/\u2202t\u00b2 = c\u00b2\u2207\u00b2u, where u is the wave function, t is time, c is the wave speed, and \u2207\u00b2 is the Laplacian operator.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are the types of wave equations?<\/h4>\n<p>There are several types of wave equations, including the one-dimensional wave equation, two-dimensional wave equation, and three-dimensional wave equation, each describing wave propagation in different spatial dimensions.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What is the general solution to the wave equation?<\/h4>\n<p>The general solution to the wave equation is given by u(x,t) = f(x-ct) + g(x+ct), where f and g are arbitrary functions, representing the superposition of two waves traveling in opposite directions.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What is the significance of the wave equation in physics?<\/h4>\n<p>The wave equation is a fundamental equation in physics, describing various types of waves, such as sound waves, light waves, and water waves, and is used to model and analyze wave phenomena in different fields.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How is the wave equation related to partial differential equations?<\/h4>\n<p>The wave equation is a specific type of partial differential equation (PDE), which is a broad class of equations that describe the behavior of physical systems, and is used to study the properties and solutions of PDEs.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What is the role of the wave equation in signal processing?<\/h4>\n<p>The wave equation plays a crucial role in signal processing, particularly in the analysis and processing of signals that exhibit wave-like behavior, such as audio and image signals.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How is the wave equation related to other PDEs?<\/h4>\n<p>The wave equation is related to other PDEs, such as the heat equation and the Schr\u00f6dinger equation, and shares similarities with them in terms of mathematical structure and solution techniques.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What is the physical interpretation of the wave equation?<\/h4>\n<p>The physical interpretation of the wave equation is that it describes the propagation of waves in a medium, where the wave function represents the displacement or disturbance of the medium from its equilibrium state.<\/p>\n<\/div>\n<h3>Exam Application<\/h3>\n<div class=\"faq-item\">\n<h4>How is the wave equation applied in CSIR NET exam?<\/h4>\n<p>The wave equation is an important topic in the CSIR NET exam, particularly in the mathematical sciences stream, and is often asked in questions related to partial differential equations, mathematical physics, and applied mathematics.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are the common techniques used to solve wave equation problems in CSIR NET?<\/h4>\n<p>Common techniques used to solve wave equation problems in CSIR NET include separation of variables, method of characteristics, and Fourier transform method, which are used to find the solution of the wave equation in different contexts.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How to identify the type of wave equation in a CSIR NET question?<\/h4>\n<p>To identify the type of wave equation in a CSIR NET question, one needs to carefully read the problem statement, identify the given equation, and determine the number of spatial dimensions and the form of the equation to classify it as a one-dimensional, two-dimensional, or three-dimensional wave equation.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How to solve wave equation problems using numerical methods?<\/h4>\n<p>Wave equation problems can be solved using numerical methods, such as the finite difference method and the finite element method, which discretize the equation and solve it approximately using computational algorithms.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are the best resources for learning wave equation for CSIR NET?<\/h4>\n<p>The best resources for learning wave equation for CSIR NET include standard textbooks on partial differential equations, online lectures and tutorials, and practice problems from previous years&#8217; question papers, which provide comprehensive coverage of the topic.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How to derive the wave equation from physical principles?<\/h4>\n<p>The wave equation can be derived from physical principles, such as Newton&#8217;s laws of motion and the properties of the medium, by making assumptions about the behavior of the system and using mathematical techniques to simplify and solve the resulting equation.<\/p>\n<\/div>\n<h3>Common Mistakes<\/h3>\n<div class=\"faq-item\">\n<h4>What are common mistakes made while solving wave equation problems?<\/h4>\n<p>Common mistakes made while solving wave equation problems include incorrect application of boundary conditions, incorrect use of separation of variables, and failure to consider the physical context of the problem, leading to incorrect solutions.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How to avoid errors in solving wave equation problems?<\/h4>\n<p>To avoid errors in solving wave equation problems, one should carefully check the mathematical steps, verify the solution with the given conditions, and ensure that the solution is physically meaningful and consistent with the problem statement.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are common misconceptions about the wave equation?<\/h4>\n<p>Common misconceptions about the wave equation include assuming it only applies to a specific type of wave or that it is only used in a particular field, when in fact it has broad applications and describes various types of waves.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How to improve problem-solving skills in wave equation?<\/h4>\n<p>To improve problem-solving skills in wave equation, one should practice solving a variety of problems, review the mathematical techniques and physical principles, and seek guidance from experts or mentors to clarify doubts and improve understanding.<\/p>\n<\/div>\n<h3>Advanced Concepts<\/h3>\n<div class=\"faq-item\">\n<h4>What are the advanced topics related to the wave equation?<\/h4>\n<p>Advanced topics related to the wave equation include nonlinear wave equations, wave equation with variable coefficients, and wave equation on curved spaces, which require a deeper understanding of mathematical techniques and physical principles.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>How is the wave equation used in real-world applications?<\/h4>\n<p>The wave equation is used in various real-world applications, such as modeling ocean waves, sound waves in music, and light waves in optics, and is an essential tool for researchers and scientists to study and analyze wave phenomena in different fields.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are the recent developments in wave equation research?<\/h4>\n<p>Recent developments in wave equation research include the study of nonlinear waves, wave turbulence, and wave propagation in complex media, which have led to new insights and applications in fields such as physics, engineering, and biology.<\/p>\n<\/div>\n<div class=\"faq-item\">\n<h4>What are the applications of wave equation in data science?<\/h4>\n<p>The wave equation has applications in data science, particularly in the analysis and processing of signals and images, and is used in areas such as audio processing, image denoising, and seismic data analysis.<\/p>\n<\/div>\n<\/section>\n<p>https:\/\/www.youtube.com\/watch?v=oNWMv-euxio<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Solution of Wave equation For CSIR NET involves separating variables and applying boundary conditions to obtain a general solution. It is a fundamental concept in mathematical physics, necessary for CSIR NET and other competitive exams.<\/p>\n","protected":false},"author":12,"featured_media":11087,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","rank_math_seo_score":84},"categories":[29],"tags":[2923,6171,6168,6169,6170,2922],"class_list":["post-11088","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-csir-net","tag-competitive-exams","tag-partial-differential-equations-csir-net","tag-solution-of-wave-equation-for-csir-net","tag-solution-of-wave-equation-for-csir-net-notes","tag-solution-of-wave-equation-for-csir-net-questions","tag-vedprep","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/11088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/comments?post=11088"}],"version-history":[{"count":3,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/11088\/revisions"}],"predecessor-version":[{"id":20831,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/11088\/revisions\/20831"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/media\/11087"}],"wp:attachment":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/media?parent=11088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/categories?post=11088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/tags?post=11088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}