Waves: relation between frequency and wavelength (3677)

, por F_y_Q

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An electromagnetic wave is travelling through a vacuum. If its frequency is 1 MHz, what will be its wavelength?

P.-S.

The propagation speed of a wave is the product between the values of frequency and wavelength. We can clear the wavelength in the equation:

v = \lambda \cdot \nu\ \to\ \color[RGB]{2,112,20}{\bm{\lambda = \frac{v}{\nu}}}

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}}}