. The most prominent line in the emission spectrum of...

$.$ The most prominent line in the emission spectrum of chromium is found at $425.4 \mathrm{nm} .$ Other lines in the chromium spectrum are found at $357.9 \mathrm{nm}$ $359.3 \mathrm{nm}, 360.5 \mathrm{nm}, 427.5 \mathrm{nm}, 429.0 \mathrm{nm},$ and $520.8 \mathrm{nm}$ (a) Which of these lines represents the most energetic light? (b) What color is light of wavelength $425.4 \mathrm{nm} ?$

$.$ The most prominent line in the emission spectrum of chromium is found at $425.4 \mathrm{nm} .$ Other lines in the chromium spectrum are found at $357.9 \mathrm{nm}$ $359.3 \mathrm{nm}, 360.5 \mathrm{nm}, 427.5 \mathrm{nm}, 429.0 \mathrm{nm},$ and $520.8 \mathrm{nm}$
(a) Which of these lines represents the most energetic light?
(b) What color is light of wavelength $425.4 \mathrm{nm} ?$

Key Concepts

Color Determination by Wavelength

The color of light as perceived by the human eye is directly linked to its wavelength. For instance, light with a wavelength around 425 nm is typically seen as violet, which is crucial for understanding and categorizing colors in optical spectroscopy.

Inverse Relationship Between Wavelength and Energy

This principle emphasizes that within the electromagnetic spectrum, as the wavelength decreases, the energy of the photon increases. It is a key concept in spectroscopy that helps in comparing the energies of different spectral lines.

Emission Spectrum

An emission spectrum is the array of wavelengths emitted by excited atoms as they return to lower energy states. Each element has a unique emission spectrum, represented by distinct spectral lines that are used in identifying its presence in various samples.

Photon Energy

Photon energy is determined by the equation E = hc/?, where E is energy, h is Planck's constant, c is the speed of light, and ? is the wavelength. This relationship shows that energy is inversely proportional to wavelength, meaning shorter wavelengths correspond to higher energy photons.

Visible Light Spectrum

The visible light spectrum encompasses wavelengths approximately between 380 nm and 750 nm, which are perceived as different colors by the human eye. Specific wavelength ranges correspond to specific colors, such as violet, blue, green, yellow, orange, and red.

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