What type of wave is light in the classical wave model?

State the wave equation relating speed, frequency, and wavelength.

Light has wavelength \(500\,\mathrm{nm}\) in vacuum. Find its frequency.

A material has refractive index \(n=1.50\). Find the speed of light in the material.

Light has wavelength \(600\,\mathrm{nm}\) in vacuum. Find its wavelength in glass with \(n=1.50\).

When light enters a higher-index material from air, which quantities change: speed, frequency, wavelength?

Red light has longer wavelength than blue light in vacuum. Which has the higher frequency?

A light wave in a material has speed \(2.25\times10^8\,\mathrm{m\,s^{-1}}\) and frequency \(5.00\times10^{14}\,\mathrm{Hz}\). Find its wavelength and refractive index.

Derive \(\lambda=\lambda_0/n\) for light entering a material of refractive index \(n\).

Light of frequency \(4.80\times10^{14}\,\mathrm{Hz}\) passes from vacuum into water \((n=1.33)\). Find the vacuum wavelength, speed in water, and wavelength in water.

Light travels through \(0.40\,\mathrm m\) of glass with \(n=1.60\). Find the travel time and compare it with the vacuum travel time over the same distance.

A monochromatic wave has wavelength \(480\,\mathrm{nm}\) in medium A with \(n_A=1.25\). Find its vacuum wavelength and its wavelength in medium B with \(n_B=1.60\).

A light beam crosses \(0.20\,\mathrm m\) of water \((n=1.33)\) and then \(0.10\,\mathrm m\) of glass \((n=1.50)\). Find the total travel time.

A wave has frequency \(6.0\times10^{14}\,\mathrm{Hz}\). How many wavelengths fit inside \(1.0\,\mathrm{mm}\) of glass with \(n=1.50\)?

Two beams have the same frequency. Beam A is in air with wavelength \(700\,\mathrm{nm}\), and beam B is in a material with wavelength \(500\,\mathrm{nm}\). Find the refractive index of the material, taking air as \(n\approx1\).

Explain why a light wave's frequency must stay the same across a stationary boundary, while speed and wavelength may change.

A beam has optical path length \(nL=0.75\,\mathrm m\) through a material. Find the travel time and the equivalent vacuum distance traveled in that time.

A material has refractive index \(1.40\) for one color and \(1.56\) for another. Over a \(2.0\,\mathrm m\) path, find the arrival-time difference for simultaneous pulses of the two colors.

A light wave in a transparent material has wavelength \(420\,\mathrm{nm}\) and frequency \(5.20\times10^{14}\,\mathrm{Hz}\). Find the material speed and refractive index.

A beam has wavelength \(\lambda_1\) in medium 1 and \(\lambda_2\) in medium 2, with no frequency change at the boundary. Derive \(n_2/n_1\) in terms of the two wavelengths.