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Waves: relation between frequency and wavelength (3677)
Martes 23 de agosto de 2016, por
An electromagnetic wave is travelling through a vacuum. If its frequency is 1 MHz, what will be its wavelength?
The propagation speed of a wave is the product between of its frequency and wavelength. You can solve for the wavelength using the equation:
![v = \lambda \cdot \nu\ \to\ \color[RGB]{2,112,20}{\bm{\lambda= \frac{v}{\nu}}}](local/cache-vignettes/L189xH43/8e77d5ad636053e0a09966871bff61cd-04e52.png?1733078889 "v = \lambda \cdot \nu\ \to\ \color[RGB]{2,112,20}{\bm{\lambda= \frac{v}{\nu}}}"){kind=small}
The speed of an electromagnetic wave in a vacuum is the speed of light in a vacuum:
![\lambda= \frac{3\cdot 10^8\ m\cdot \cancel{s^{-1}}}{10^6\ \cancel{s^{-1}}} = \fbox{\color[RGB]{192,0,0}{\bm{3\cdot 10^2\ m}}}](local/cache-vignettes/L305xH48/b073e9156576cb6265a002b1f1427e7c-60307.png?1733078889 "\lambda= \frac{3\cdot 10^8\ m\cdot \cancel{s^{-1}}}{10^6\ \cancel{s^{-1}}} = \fbox{\color[RGB]{192,0,0}{\bm{3\cdot 10^2\ m}}}"){kind=small}