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In Bohr’s atomic model, the radius of the electron’s orbit in a hydrogen atom (or hydrogen-like ion) is quantized — meaning it has discrete allowed values based on the principal quantum number $n$.
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Bohr’s Atomic Model (also spelled “Bhor” in some transliterations) was proposed by Niels Bohr in 1913 to explain how electrons behave in atoms, particularly the hydrogen atom. It built on Rutherford’s model and introduced quantum theory concepts.
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The “Theory of Everything” is the holy grail of modern physics—a single, elegant framework that would unify all the fundamental forces of nature: gravity, electromagnetism, the strong force, and the weak force. While we don’t have a complete theory yet, physicists have made incredible progress in combining three of these forces into the Standard Model of particle physics. The image you see is a glimpse into this ongoing quest, representing the mathematical framework of quantum field theory, which combines classical field theory, special relativity, and quantum mechanics. This blog post, “The Theory of Everything,” will break down this monumental equation, explaining what each part represents and how it brings us one step closer to a complete understanding of the cosmos.
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Throughout history, a handful of powerful equations have fundamentally reshaped our understanding of the universe and our place in it. These aren’t just abstract symbols; they are the intellectual bedrock upon which our modern world is built. They have given us the tools to build skyscrapers, send rovers to Mars, and unlock the secrets of the atom. This blog post, “17 Equations That Changed the World,” will take you on a journey through the most impactful mathematical discoveries, from ancient geometry to modern chaos theory. We’ll explore each equation, who discovered it, and why it holds such a pivotal place in human history.
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Calculus, the mathematical study of continuous change, is a cornerstone of modern science and engineering. But for many, the array of symbols and notations can seem like a foreign language. This blog post, “Calculus: A Guide to the Symbols of Change,” is designed to be your cheat sheet. We’ll break down the most common symbols used in calculus, from the fundamental concepts of limits and derivatives to the more advanced notations of integrals and transforms. By understanding these symbols, you’ll gain a deeper appreciation for the elegance and power of a mathematical language that allows us to describe the dynamic world around us.
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The image of a black hole, with its swirling accretion disk and dark event horizon, has captured the human imagination like few other cosmic phenomena. Black holes are regions in spacetime where gravity is so strong that nothing—not even light—can escape. They are the ultimate cosmic enigmas, governed by some of the most profound and complex equations in physics. This blog post, “A Journey to the Edge of Reality,” will explore the science behind black holes, breaking down the complex ideas and equations that describe them. We’ll delve into the physics that governs their behavior and the concepts that are leading us to a new understanding of gravity and the very fabric of the universe.
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This is one of the key postulates of Bohr’s atomic model, stating that the angular momentum $L$ of an electron in a stable orbit is quantized, i.e., it can only take specific discrete values depending on an integer $n$.