Question

Calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 591.0 nm. a) 5.09 × 10^14 Hz b) 1.69 × 10^6 Hz c) 3.18 × 10^8 Hz d) 4.24 × 10^12 Hz

Answer 1

a> 5.09 ×10^14 hz is the correct

Step-by-step explanation:

To calculate the frequency (f) of electromagnetic radiation when given the wavelength (λ), you can use the following formula:

f = c / λ

Where: f = frequency in hertz (Hz) c = speed of light in a vacuum, approximately 3.00 × 10^8 meters per second (m/s) λ = wavelength in meters (m)

First, you need to convert the given wavelength from nanometers (nm) to meters (m). There are 1 billion nanometers in 1 meter, so:

λ = 591.0 nm = 591.0 × 10^(-9) m

Now, you can plug the values into the formula:

f = (3.00 × 10^8 m/s) / (591.0 × 10^(-9) m) = 5.09 × 10^14 Hz

So, the correct answer is (a) 5.09 × 10^14 Hz.