Question

Red light has a frequency of 4.62x10^14 Hz. What is the wavelength of red light?

A. 6.49 x 10^-7 m
B. 4.62 x 10^14 m
C. 2.05 x 10^-7 m
D. 1.37 x 10^7 m

Answer 1

Using the speed of light and the given frequency of red light, the calculated wavelength is 6.49 x 10^-7 m, which corresponds to option A and is typical for red light in the visible spectrum.

Step-by-step explanation:

The question asks to calculate the wavelength of red light given its frequency. To find the wavelength (λ) of light when the frequency (v) is known, the formula λv = c is used, where c is the speed of light in a vacuum (approximately 3.00 × 108 m/s). Hence, we use the given frequency (4.62 x 1014 Hz) to compute the wavelength:

λ = c / v
= (3.00 × 108 m/s) / (4.62 x 1014 Hz)
= 6.49 x 10-7 m

Therefore, the correct answer is option A. 6.49 x 10-7 m which corresponds to the typical wavelength of red light in the visible spectrum.