Soo..confusing.
If the wavelengths increase, why doesn't the velocity increase? They all travel at the same speed in Vacuum.
Physics is so fucked atm
In a vacuum, the frequencies and wavelengths of every single type of EMR is like perfect and when multiplied they equal 3x10
8.
But... when the EMR goes through a medium, it changes. Frequency remains constant, but wavelength changes.
Like in my hypothetical world where the speed of light in a vacuum is 6 m/s...
2 * 3 = 6
3 * 2 = 6
But... when you modify wavelength and keep frequency constant...
2 * (3 - 1) = 4
3 * (2 - 1) = 3
Kablamo! The speeds of the EMR changes!
\\$rearranging this we get$ \frac{v2}{sin\theta2}=\frac{v1}{sin\theta1}\\$From the question, for both green and yellow light $\theta1=60$ and assuming v1 is the same (speed of light)\\So $ \frac{v1}{sin\theta1}$ is the same for both green and yellow light, the only difference is v2 and $sin\theta2\\$Because we end up with $\frac{v2}{sin\theta2}=constant $ if $sin\theta2 $ gets bigger, v2 gets bigger and since $sin34>sin32$, then green light travels faster than yellow light$)
