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

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:

Step1: Analyze the formula $c = \lambda v$

Since $c$ (speed of light) is constant, when $\lambda$ increases, $v$ decreases and vice - versa. So the relationship between wavelength and frequency is inverse.

Step2: Analyze the formula $E = h v$

Here, $h$ (Planck's constant) is constant. When $v$ increases, $E$ increases and when $v$ decreases, $E$ decreases. So the relationship between frequency and energy is direct.

Step3: Recall visible light spectrum acronym

The acronym for the colors of the visible light spectrum is ROYGBIV (Red, Orange, Yellow, Green, Blue, Indigo, Violet).

Step4: Recall wavelength order of visible light

The order of colors of the visible light spectrum from shortest wavelength to longest 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