Question

c = λv
λ = c/v
v = c/λ
c = speed of light (3.00 x 10^8 m/s)
λ (lamda)= wavelength (m and nm)
v (nu, pronounced new) = frequency ( 1/s, s^-1, hz)
common metric conversion light calculation

1. what are the units of wavelength?
2. what are the units of frequency?
3. what is the relationship between wavelength and frequency?
4. what is the relationship between frequency and energy? (direct)
5. what is the acronym used to identify the colors of the visible light
6. rank the colors of the visible light spectrum from shortest wavelength

Explanation:

Step1: Identify units of wavelength

Given in the text, the units are meters (m) and nanometers (nm).

Step2: Identify units of frequency

Given in the text, the units are 1/s, s⁻¹, and Hz.

Step3: Determine wavelength - frequency relationship

From $c = \lambda v$, we can see they are inversely proportional ($v=\frac{c}{\lambda}$ and $\lambda=\frac{c}{v}$).

Step4: Frequency - energy relationship

The relationship is direct, given by $E = h
u$ where $E$ is energy, $h$ is Planck's constant and $
u$ is frequency.

Step5: Visible - light acronym

The acronym is ROYGBIV (Red, Orange, Yellow, Green, Blue, Indigo, Violet).

Step6: Rank visible - light colors by wavelength

Shortest to longest: Violet, Indigo, Blue, Green, Yellow, Orange, Red.

Answer:

1. m and nm
2. 1/s, s⁻¹, Hz
3. Inversely proportional
4. Direct (from $E = h

u$)

1. ROYGBIV
2. Violet, Indigo, Blue, Green, Yellow, Orange, Red