Which of the following choices correctly sequences the designated segments of the electromagnetic wave spectrum in an increasing order of their respective photon energies?
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To remember this order easily during exams, use a simple mnemonic: Roman Men Invented Very Unusual Xray Guns. This stands for Radio, Microwave, Infrared, Visible, Ultraviolet, X-ray, Gamma.
The problem requires us to sequence given segments of the electromagnetic wave spectrum based on their photon energies, in increasing order.
Understanding Photon Energy: An important concept is that the energy of a photon is directly proportional to its frequency. The relationship is given by the equation: \(E = h \cdot f\), where \(E\) is energy, \(h\) is Planck's constant, and \(f\) is frequency. As frequency increases, photon energy increases.
Review of Electromagnetic Spectrum: Generally, the electromagnetic spectrum, ordered by increasing frequency (and thus increasing energy), is: Radio waves, Microwaves, Infrared, Visible, Ultraviolet, X-rays, Gamma rays.
Analyzing the Options: We now evaluate the given options:
\( \text{Radio waves} < \text{Microwaves} < \text{Infrared} < \text{X-rays} \): This sequence is correct as radio waves have the least frequency, while X-rays among these have the highest.
\( \text{X-rays} < \text{Infrared} < \text{Microwaves} < \text{Radio waves} \): Incorrect because X-rays have higher energy than the others listed.
\( \text{Microwaves} < \text{Radio waves} < \text{Infrared} < \text{X-rays} \): Incorrect as microwaves have higher energy than radio waves.
\( \text{Radio waves} < \text{X-rays} < \text{Infrared} < \text{Microwaves} \): Incorrect because X-rays appear before infrared and microwaves, which have lower energy than X-rays.
Conclusion: The correct order from the options is \( \text{Radio waves} < \text{Microwaves} < \text{Infrared} < \text{X-rays} \) as it aligns well with the known electromagnetic spectrum order by energy.