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Infrared radiation from young stars can pass through the heavy dust clouds surrounding them, allowing astronomers here on Earth to study the earliest stages of star formation, before a star begins to emit visible light. Suppose an infrared telescope is tuned to detect infrared radiation with a frequency of 25.9 THz . Calculate the wavelength of the infrared radiation. Round your answer to 3 significant digits.

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skyluke89

Answer:

[tex]1.16\cdot 10^{-5} m[/tex]

Explanation:

The wavelength of an electromagnetic wave is given by

[tex]\lambda=\frac{c}{f}[/tex]

where

c is the speed of light

f is the frequency

For the infrared radiation in this problem, the frequency is

[tex]f=25.9 THz = 25.9 \cdot 10^{12} Hz[/tex]

Therefore, the wavelength is

[tex]\lambda=\frac{3\cdot 10^8 m/s}{25.9\cdot 10^{12} Hz}=1.16\cdot 10^{-5} m[/tex]

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