Math Hub

Geometry challenge: x = ?

No calculator.... No hints Can you solve it correctly??

👌👏

h = ? Can you SOLVE this ⁉️🤔 Credit: Maths & Science

Your IQ is tested in one question. Can you find the missing number without Googling?

x = ? y = ? Can you SOLVE this ?

Lorentz-Lorenz Equation - When light enters a material, like glass, water, diamond, or air, it slows down. In empty space, light travels at 300,000 kilometers per second. However, in glass, it slows to about 200,000, and in diamond, it slows even more. This reduction in speed is described by a single number called the refractive index. This number explains many interesting behaviors of light, such as how lenses focus, diamonds sparkle, and straws appear bent in water. The Lorentz-Lorenz equation was developed independently by two physicists, with nearly the same names, in 1880. It explains why different materials slow light by different amounts and connects this behavior to what individual molecules do at the atomic level.bThe reason for the slowing involves how light waves interact with molecules. The oscillating electric field of a light wave pushes the electrons in every molecule it meets, temporarily moving the electron cloud away from the nucleus. This creates a small separation of positive and negative charge within the molecule, known as polarization. Each polarized molecule then re-emits light in all directions. The interference between the original wave and these re-emitted waves results in a wave that travels more slowly than the original. Two properties of molecules affect how strongly this occurs. The first is polarizability, which describes how easily a molecule's electrons can be pushed around. This depends on the number of electrons and how loosely they are bound. The second property is the density of molecules in a given volume. Denser packing means more molecules contribute to the collective slowing effect. This explains why the same substance in gas form barely slows light, while in liquid or solid form, it slows it more noticeably. The molecules are the same, but they are packed much closer together...

Math test 😇 comment your answer 💯

9 or 1 : Who is right?

Geometry Challenge: P + Q = ?

Math test 😇 comment your answer 💯

Geometry Challenge: k = ?