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A carbon–oxygen double bond within a sugar molecule absorbs electromagnetic radiation at a frequency of 6.0 x 1012 s-1. What portion of the electromagnetic spectrum does this represent?
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2. Atoms and the Periodic Table
Electromagnetic Spectrum (Simplified)
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Which of the following sources of electromagnetic radiation will have the highest energy?
A
Light A (595 nm)
B
Light B (0.0303 cm)
C
Light C (0.000510 m)
D
Light D (291 μm)
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Understand that the energy of electromagnetic radiation is inversely proportional to its wavelength. This means that shorter wavelengths correspond to higher energy.
Convert all given wavelengths to the same unit for easy comparison. Typically, nanometers (nm) or meters (m) are used. For example, convert cm to nm, m to nm, and μm to nm.
Use the formula for energy of a photon: \( E = \frac{hc}{\lambda} \), where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength. This formula shows that energy is inversely proportional to wavelength.
Compare the converted wavelengths: Light A (595 nm), Light B (converted from 0.0303 cm), Light C (converted from 0.000510 m), and Light D (converted from 291 μm). Identify which has the shortest wavelength.
Conclude that the source with the shortest wavelength will have the highest energy, based on the inverse relationship between wavelength and energy.
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