Question

the table shows the wavelength of different colors on the visible light spectrum.

color	wavelength
blue	450-495 nm
green	495-570 nm
yellow	570-590 nm
orange	590-620 nm
red	620-750 nm

based on the data in the table, which statement about the colors on the visible light spectrum is true?
green light has a higher frequency than orange light.
yellow light has a higher frequency than blue light.
violet light has the longest wavelength and the lowest frequency.
red light has the shortest wavelength and the lowest frequency.

Explanation:

Step1: Recall the relationship between frequency and wavelength

The frequency $f$ and wavelength $\lambda$ of light are related by the formula $c = f\lambda$, where $c$ is the speed of light in a vacuum. Since $c$ is constant, $f=\frac{c}{\lambda}$, which means frequency is inversely - proportional to wavelength.

Step2: Analyze the wavelengths of given colors

From the table, the wavelength range of green light is 495 - 570 nm and the wavelength range of orange light is 590 - 620 nm. Since green light has a shorter wavelength than orange light, according to $f=\frac{c}{\lambda}$, green light has a higher frequency.

Step3: Analyze other options

• For yellow light (570 - 590 nm) and blue light (450 - 495 nm), blue light has a shorter wavelength and thus a higher frequency, so the statement "Yellow light has a higher frequency than blue light" is false.
• Violet light has a wavelength range of 380 - 450 nm, which is not the longest wavelength. Red light has the longest wavelength in the visible - light spectrum, so the statement "Violet light has the longest wavelength and the lowest frequency" is false.
• Red light has a wavelength range of 620 - 750 nm, which is the longest wavelength in the visible - light spectrum, not the shortest, so the statement "Red light has the shortest wavelength and the lowest frequency" is false.

Answer:

Green light has a higher frequency than orange light.