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 turned to detect infrared radiation with a frequency of 17.3THZ calculate the wavelength of th infrared radiation
Be sure your answer has the correct number of significant digits
To calculate the wavelength of the infrared radiation, we can use the formula:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 2.998 x 10^8 meters per second.
Converting the frequency 17.3 THz to Hz, we have 17.3 x 10^12 Hz.
Now we can substitute the values into the formula:
wavelength = (2.998 x 10^8 m/s) / (17.3 x 10^12 Hz)
wavelength = 1.731 x 10^-5 meters
The wavelength of the infrared radiation is 1.731 x 10^-5 meters.
To calculate the wavelength of infrared radiation with a frequency of 17.3 THz (terahertz), we can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 299,792,458 meters per second.
Converting the frequency from THz to Hz:
1 THz = 10^12 Hz
So, 17.3 THz = 17.3 x 10^12 Hz.
Now, let's calculate the wavelength:
wavelength = 299,792,458 m/s / (17.3 x 10^12 Hz) = 17.324704 meters.
Therefore, the wavelength of the infrared radiation is approximately 17.32 meters, with two significant digits.