The brightest light detected from the star Antares has a wavelength of about 103 nm. What is the frequency of this light?

To find the frequency of light with a given wavelength, you can use the equation:

c = λν

where c is the speed of light (approximately 3.0 × 10^8 meters per second), λ is the wavelength of light in meters, and ν is the frequency of light in hertz.

First, convert the wavelength from nanometers (nm) to meters (m). There are 1 × 10^9 nanometers in a meter, so divide the given wavelength by 1 × 10^9:

λ = 103 nm = 103 × 10^-9 m = 1.03 × 10^-7 m

Now, plug the values into the equation:

c = λν

3.0 × 10^8 m/s = 1.03 × 10^-7 m × ν

To solve for ν, divide both sides of the equation by 1.03 × 10^-7 m:

ν = (3.0 × 10^8 m/s) / (1.03 × 10^-7 m)

ν ≈ 2.912 × 10^15 Hz

Therefore, the frequency of light with a wavelength of 103 nm is approximately 2.912 × 10^15 Hz.