Question

If blue light has a wavelength of 500 nm and a frequency of 6.00 x 10^14 Hz, what is its speed?

A. 3.00 x 10^8 m/s
B. 3.60 x 10^8 m/s
C. 3.75 x 10^8 m/s
D. 4.20 x 10^8 m/s

Answer 1

The speed of blue light with a wavelength of 500 nm and a frequency of 6.00 x 10^14 Hz is 3.00 x 10^8 m/s, calculated using the equation c = fλ, which aligns with option A.

Step-by-step explanation:

To find the speed of blue light with a wavelength of 500 nm and a frequency of 6.00 x 1014 Hz, you can use the equation that relates the speed of light (c), frequency (f), and wavelength (λ): c = fλ. In this case, given the frequency and wavelength, the speed can be calculated directly.

c = fλ
c = (6.00 x 1014 Hz) (500 x 10-9 m)
c = (6.00 x 1014) (0.5 x 10-6)
c = 3.00 x 108 m/s

Therefore, the speed of blue light is 3.00 x 108 m/s, which corresponds to option A. This is the universally recognized speed of light in a vacuum, which is only very slightly smaller in air.