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 In pm
To calculate the wavelength of the infrared radiation with a frequency of 17.3 THz, we can use the formula:
c = λν,
where c is the speed of light and ν is the frequency.
The speed of light, c, is 2.998 × 10^8 m/s.
First, let's convert the frequency from THz to Hz:
17.3 THz = 17.3 × 10^12 Hz.
Now, we can rearrange the formula to solve for the wavelength, λ:
λ = c / ν.
Substituting the values:
λ = (2.998 × 10^8 m/s) / (17.3 × 10^12 Hz).
Calculating this expression gives:
λ ≈ 1.73 × 10^-5 m.
Finally, to convert this value to picometers (pm), we multiply by 10^12:
λ ≈ 1.73 × 10^7 pm.
Therefore, the wavelength of the infrared radiation is approximately 1.73 × 10^7 pm.
To calculate the wavelength of infrared radiation with a frequency of 17.3 THz, we can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
The speed of light is approximately 2.998 x 10^8 m/s.
Converting the frequency from THz to Hz:
1 THz = 10^12 Hz
So, 17.3 THz = 17.3 x 10^12 Hz = 1.73 x 10^13 Hz
Now we can calculate the wavelength:
λ = (2.998 x 10^8 m/s) / (1.73 x 10^13 Hz)
λ ≈ 1.732 x 10^-5 m
To convert this wavelength to picometers (pm), we multiply by 10^12 to convert from meters to picometers:
λ ≈ 1.732 x 10^7 pm
Therefore, the wavelength of the infrared radiation is approximately 1.732 x 10^7 pm.