Physics

Physics

Problem

A laser emits radiation with a frequency of 7.50×1014 Hz7.50 \times 10^{14}\,\text{Hz}. Determine the wavelength of this radiation in ångströms (1 A˚=1×10−10 m1\,\text{Å}=1\times10^{-10}\,\text{m}).
Intuitive explanation

The key is the wave relationship c=λνc = \lambda \nu, which connects frequency and wavelength through the speed of light. Once you find wavelength in meters using the speed of light (3.00×108 m/s3.00 \times 10^8\,\text{m/s}), you just convert to ångströms by dividing by 10−1010^{-10}—a straightforward unit conversion that reveals this laser emits visible light.

Intuitive explanation

The key is the wave relationship c=λνc = \lambda \nu, which connects frequency and wavelength through the speed of light. Once you find wavelength in meters using the speed of light (3.00×108 m/s3.00 \times 10^8\,\text{m/s}), you just convert to ångströms by dividing by 10−1010^{-10}—a straightforward unit conversion that reveals this laser emits visible light.

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