One of the emission lines of the hydrogen atom has a wavelength of 93.07 nm. a. In what region of the electromagnetic spectrum is this emission found?

검증된 단계별 안내

insert step 1> Convert the given wavelength from nanometers to meters by using the conversion factor: 1 nm = 1 x 10^{-9} m.

insert step 2> Recall the regions of the electromagnetic spectrum and their corresponding wavelength ranges.

insert step 3> Compare the converted wavelength to the known ranges of the electromagnetic spectrum to determine the region.

insert step 4> Identify the region of the electromagnetic spectrum that corresponds to the given wavelength.

insert step 5> Conclude which part of the electromagnetic spectrum the emission line belongs to based on the comparison.

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주요 개념

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Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, arranged by wavelength or frequency. It includes various regions such as radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each region has distinct properties and applications, with wavelengths ranging from kilometers for radio waves to picometers for gamma rays.

Wavelength and Frequency

Wavelength is the distance between successive peaks of a wave, typically measured in nanometers (nm) for light. Frequency, measured in hertz (Hz), indicates how many wave peaks pass a point in one second. The relationship between wavelength and frequency is inversely proportional, described by the equation c = λν, where c is the speed of light, λ is wavelength, and ν is frequency.

Ultraviolet Radiation

Ultraviolet (UV) radiation is a type of electromagnetic radiation with wavelengths shorter than visible light, typically ranging from about 10 nm to 400 nm. The specific wavelength of 93.07 nm falls within the extreme ultraviolet (EUV) region, which is known for its high energy and ability to ionize atoms. UV radiation has various applications, including sterilization and phototherapy, but can also pose health risks.