Question

What is the wavelength of a photon with a frequency of 4.38 × 10^-18 Hz?

A) 6.84 × 10^16 m
B) 6.85 × 10^16 m
C) 6.86 × 10^16 m
D) 6.87 × 10^16 m

Answer 1

The wavelength of a photon with a frequency of 4.38 × 10^-18 Hz is calculated using the speed of light and the given frequency, resulting in an approximate wavelength of 6.85 × 10^16 m, which corresponds to option B.

Step-by-step explanation:

To calculate the wavelength of a photon, we can use the formula c = λf, where c is the speed of light in a vacuum (approximately 3 × 108 m/s), λ is the wavelength, and f is the frequency. Given the frequency of a photon as 4.38 × 10-18 Hz, we can rearrange the formula to solve for λ: λ = c / f.

Since c = 3 × 108 m/s and f = 4.38 × 10-18 Hz, the wavelength λ is calculated as:

λ = (3 × 108 m/s) / (4.38 × 10-18 Hz) = (3/4.38) × 108 × 1018 m = (3/4.38) × 1026 m

After calculating, we get λ approximately equal to 6.85 × 1016 m, which is option B.