60+ Important Physics Formulas - Quizontal

"Unveiling the Universe: Exploring the Elegance of Physics Formulas"

Welcome to a journey through the captivating realm of physics, where equations are the language of the cosmos and formulas are the keys that unlock the mysteries of the universe. From the elegant simplicity of Newton's laws to the mind-bending complexity of quantum mechanics, physics offers a breathtaking tapestry of ideas that shape our understanding of the world around us. In this blogger post, we embark on an exhilarating exploration of some of the most important and intriguing physics formulas. These formulas are not just mathematical expressions; they encapsulate profound concepts, fundamental principles, and the very essence of how the universe operates. They are the tools that physicists wield to unravel the deepest secrets of nature, from the smallest particles to the vast expanse of space. Join me as we delve into the rich tapestry of physics formulas, uncovering their significance, exploring their applications, and marveling at the beauty and elegance inherent in the laws that govern our universe. Whether you're a seasoned physicist, a curious student, or simply an admirer of the wonders of science, there's something here for everyone to enjoy and appreciate. So let's dive in and begin our journey into the fascinating world of physics formulas!

Mechanics:

1. Newton's Second Law: $𝐹=𝑚𝑎$
2. Newton's Law of Universal Gravitation: $𝐹=\frac{𝐺\cdot {𝑚}_1\cdot {𝑚}_2}{{𝑟}^2}$
3. Work-Energy Theorem: $𝑊=\mathrm{\Delta }𝐾𝐸$
4. Kinetic Energy: $𝐾𝐸=\frac{1}{2}𝑚{𝑣}^2$
5. Potential Energy: $𝑃𝐸=𝑚𝑔ℎ$
6. Conservation of Momentum: $𝑝=𝑚𝑣$
7. Impulse-Momentum Theorem: $𝐹\cdot 𝑡=\mathrm{\Delta }𝑝$
8. Hooke's Law: $𝐹=𝑘𝑥$
9. Torque: $𝜏=𝑟\times 𝐹$
10. Moment of Inertia: $𝐼=\sum {𝑚}_{𝑖}{𝑟}_{𝑖}^2$
11. Conservation of Angular Momentum: $𝐿=𝐼𝜔$

Thermodynamics:

12. First Law of Thermodynamics: $\mathrm{\Delta }𝑈=𝑄-𝑊$
13. Ideal Gas Law: $𝑃𝑉=𝑛𝑅𝑇$
14. Carnot Efficiency: $𝜂=1-\frac{{𝑇}_{𝐶}}{{𝑇}_{𝐻}}$
15. Entropy Change: $\mathrm{\Delta }𝑆=\frac{𝑄}{𝑇}$
16. Heat Capacity: $𝐶=\frac{𝑄}{\mathrm{\Delta }𝑇}$
17. Stefan-Boltzmann Law: $𝑃=𝜎𝐴{𝑇}^4$
18. Boyle's Law: ${𝑃}_1{𝑉}_1={𝑃}_2{𝑉}_2$
19. Charles's Law: $\frac{{𝑉}_1}{{𝑇}_1}=\frac{{𝑉}_2}{{𝑇}_2}$
20. Avogadro's Law: $\frac{{𝑉}_1}{{𝑛}_1}=\frac{{𝑉}_2}{{𝑛}_2}$

Electricity and Magnetism:

21. Coulomb's Law: $𝐹=\frac{𝑘\mathrm{\mid }{𝑞}_1{𝑞}_2\mathrm{\mid }}{{𝑟}^2}$
22. Electric Field: $𝐸=\frac{𝐹}{𝑞}$
23. Gauss's Law: $\oint \overrightarrow{𝐸}\cdot 𝑑\overrightarrow{𝐴}=\frac{{𝑄}_{\text{enc}}}{{𝜀}_0}$
24. Electric Potential: $𝑉=\frac{𝑊}{𝑞}$
25. Ohm's Law: $𝑉=𝐼𝑅$
26. Kirchhoff's Voltage Law (KVL)
27. Kirchhoff's Current Law (KCL)
28. Magnetic Force on a Moving Charge: $𝐹=𝑞𝑣𝐵$
29. Magnetic Field of a Straight Wire: $𝐵=\frac{{𝜇}_0𝐼}{2𝜋𝑟}$
30. Ampère's Law: $\oint \overrightarrow{𝐵}\cdot 𝑑\overrightarrow{𝑙}={𝜇}_0{𝐼}_{\text{enc}}$

Waves and Optics:

31. Wave Equation: $𝑣=𝑓𝜆$
32. Snell's Law: ${𝑛}_1\sin ({𝜃}_1)={𝑛}_2\sin ({𝜃}_2)$
33. Doppler Effect: ${𝑓}^{\mathrm{\prime }}=𝑓\frac{𝑣\pm {𝑣}_{𝑜}}{𝑣\mp {𝑣}_{𝑠}}$
34. Young's Double Slit Experiment: $𝜆=\frac{𝑑\sin (𝜃)}{𝑚}$
35. Lens Equation: $\frac{1}{𝑓}=\frac{1}{{𝑑}_{𝑜}}+\frac{1}{{𝑑}_{𝑖}}$
36. Mirror Equation: $\frac{1}{𝑓}=\frac{1}{{𝑑}_{𝑜}}+\frac{1}{{𝑑}_{𝑖}}$
37. Snell's Law of Refraction: ${𝑛}_1\sin ({𝜃}_1)={𝑛}_2\sin ({𝜃}_2)$
38. Diffraction Grating Equation: $𝑚𝜆=𝑑\sin (𝜃)$

Modern Physics:

39. Planck's Law: $𝐸=ℎ𝑓$
40. de Broglie Wavelength: $𝜆=\frac{ℎ}{𝑝}$
41. Einstein's Mass-Energy Equivalence: $𝐸=𝑚{𝑐}^2$
42. Heisenberg Uncertainty Principle: $\mathrm{\Delta }𝑥\mathrm{\Delta }𝑝\ge \frac{\mathrm{\hslash }}{2}$
43. Schrödinger's Equation: $𝑖\mathrm{\hslash }\frac{\mathrm{\partial }\mathrm{\Psi }}{\mathrm{\partial }𝑡}=\widehat{𝐻}\mathrm{\Psi }$
44. Photoelectric Effect: $𝐸=ℎ𝑓-𝜙$
45. Compton Scattering: $\mathrm{\Delta }𝜆=\frac{ℎ}{{𝑚}_{𝑒}𝑐}(1-\cos (𝜃))$
46. Relativistic Energy: $𝐸=𝛾𝑚{𝑐}^2$, $𝛾=\frac{1}{\sqrt{1-\frac{{𝑣}^2}{{𝑐}^2}}}$
47. Schwarzschild Radius: ${𝑟}_{𝑠}=\frac{2𝐺𝑀}{{𝑐}^2}$
48. Rutherford Scattering: $\frac{1}{2}𝑚{𝑣}^2=\frac{𝑘𝑍{𝑒}^2}{𝑟}$

Quantum Mechanics:

49. Bohr Radius: ${𝑎}_0=\frac{{𝜀}_0{ℎ}^2}{𝜋{𝑚}_{𝑒}{𝑒}^2}$
50. Rydberg Formula: $\frac{1}{𝜆}=𝑅(\frac{1}{{𝑛}_1^2}-\frac{1}{{𝑛}_2^2})$

Nuclear Physics:

61. Radioactive Decay: $𝑁(𝑡)={𝑁}_0{𝑒}^{-𝜆𝑡}$
62. Half-Life: ${𝑡}_{1\mathrm{/}2}=\frac{\ln (2)}{𝜆}$
63. Binding Energy: $𝐸=𝑚{𝑐}^2$
64. Fission Reaction: ${}_{𝑍}^{𝐴}𝑋{+}_0^1𝑛{\to }_{{𝑍}_1}^{𝐴+1}{𝑋}_1{+}_{𝑍-1}^{𝐴-1}{𝑋}_2$
65. Fusion Reaction: ${}_{{𝑍}_1}^{{𝐴}_1}{𝑋}_1{+}_{{𝑍}_2}^{{𝐴}_2}{𝑋}_2{\to }_{{𝑍}_3}^{{𝐴}_3}{𝑋}_3{+}_1^1𝐻$

Astrophysics:

66. Kepler's Laws of Planetary Motion
67. Hubble's Law: $𝑣={𝐻}_0𝑑$