Question

What is the wavelength of a photon having a frequency of 49.3 THz? (1 THz = 10^15 Hz)

A) 6.09 × 10^-9 m
B) 6.10 × 10^-9 m
C) 6.11 × 10^-9 m
D) 6.12 × 10^-9 m

Answer 1

The wavelength of a photon with a frequency of 49.3 THz is approximately 6.09 × 10^-9 m.

Step-by-step explanation:

To find the wavelength of a photon, you can use the formula:

Wavelength = Speed of Light / Frequency

Where the speed of light is approximately 3 × 10^8 m/s. In this case, the frequency is given as 49.3 THz, which is equivalent to 49.3 × 10^12 Hz. Plugging these values into the formula:

Wavelength = (3 × 10^8 m/s) / (49.3 × 10^12 Hz)

Calculating this expression gives us a wavelength of approximately 6.09 × 10^-9 m. Therefore, the correct answer is A) 6.09 × 10^-9 m.