Question

Calculate the wavelength of a photon (lightwave) that has a frequency of (1.8 X 10^{12}) Hz.

A. (1.67 X 10^{-4) m
B. (5.56 X 10^{-7} m
C. (1.11 X 10^{-6) m
D. (1.67 X 10^{-6) m

Answer 1

The wavelength of a photon with a frequency of 1.8 × 10^12 Hz is calculated using the equation c = λf, resulting in the wavelength being 1.67 × 10^-4 m. Answer A is correct.

Step-by-step explanation:

To calculate the wavelength of a photon with a given frequency, you can use the equation c = λf, where c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s), λ is the wavelength, and f is the frequency. Given that the frequency (f) is 1.8 × 10^12 Hz, you can rearrange the equation to solve for the wavelength (λ):

λ = c / f

Substituting the known values:

λ = (3.00 × 10^8 m/s) / (1.8 × 10^12 Hz)

λ = 1.67 × 10^-4 m

Therefore, the correct answer is A. (1.67 × 10^-4 m).