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Determine which of the following statements about the wavelength of light are true.

Question

Determine which of the following statements about the wavelength of light are true.

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Solution

To evaluate which statements about the wavelength of light are true, we need to provide some common principles regarding light wavelengths. Light, as part of the electromagnetic spectrum, can vary in wavelength depending on its type (visible light, infrared, ultraviolet, etc.). Here’s a general approach to analyze statements regarding light's wavelength:

  1. Understanding Wavelength: The wavelength of light is the distance between consecutive peaks of a wave, typically measured in nanometers (nm) for visible light. The visible spectrum ranges from about 400 nm (violet) to about 700 nm (red).

  2. Relationship with Frequency: The wavelength (λ\lambda) is inversely related to the frequency (ff), described by the equation: c=λf c = \lambda f where cc is the speed of light (3×108m/s3 \times 10^8 \, \text{m/s}).

  3. Energy Correspondence: The energy of a photon is also inversely related to its wavelength, governed by the equation: E=hcλ E = \frac{hc}{\lambda} where EE is the energy, hh is Planck's constant (6.626×1034Js6.626 \times 10^{-34} \, \text{Js}), and λ\lambda is the wavelength.

Let’s analyze specific statements you might have about the wavelength of light based on these principles. Please list the statements in question for further verification.

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