Question

c = λv
λ = c/v
v = c/λ
c = speed of light (3.00 x 10⁸ m/s)
λ (lamda)= wavelength (m and nm)
v (nu, pronounced new) = frequency (1/s, s⁻¹, hz)
common metric conversion light calculations: 1 m = 1 x 10⁹ nm
e = hv
v = e/h
e = energy (j)
h = plancks constant (6.63 x 10⁻³⁴ js)
v = frequency (1/s, s⁻¹, hz)

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

Explanation:

1. Given in the text, wavelength units are meters (m) and nanometers (nm).
2. Also given, frequency units are 1/s, s⁻¹, Hz.
3. From $c = \lambda v$ (where $c$ is constant speed of light), as $\lambda$ increases, $v$ decreases and vice - versa, so it's an inverse relationship.
4. From $E = h v$ (where $h$ is Planck's constant), as $v$ increases, $E$ increases, so it's a direct relationship.
5. The acronym for visible light spectrum colors is ROYGBIV (Red, Orange, Yellow, Green, Blue, Indigo, Violet).
6. The order from shortest to longest wavelength is Violet, Indigo, Blue, Green, Yellow, Orange, Red.

Answer:

1. m and nm
2. 1/s, s⁻¹, Hz
3. Inverse
4. Direct
5. ROYGBIV
6. Violet, Indigo, Blue, Green, Yellow, Orange, Red