Students are studying electromagnetic waves. They examine the table that compares the speed, frequency, and wavelength of red light waves in vacuum, in air, and in glass.

Information
Red Light Wave Properties in Different Media
,begin bold, Medium ,end bold,
,begin bold, Speed,end bold, (v)

(10 Superscript 8 Baseline meters per second)

,begin bold, Frequency,end bold, (f)

(10 Superscript 15 Baseline hertz)

,begin bold, Wavelength,end bold, (lambda)

(10 Superscript negative 7 Baseline meters)

Vacuum
2.998

0.4612 6.500
Air 2.997 0.4612 6.498
Glass 1.972 0.4612 4.276

Question
The students claim that the relationship among the speed, frequency, and wavelength of red light is v equals f times lambda regardless of the medium.



How do the data in the table support their claim?

Answer options with 4 options
A.
The denser the medium the slower the speed.

B.
The speed is directly related to the frequency in every medium.

C.
The frequency of the red light waves is the same in every medium.

D.
The frequency times the wavelength equals the speed in every medium.

1 answer

The correct answer is:

D. The frequency times the wavelength equals the speed in every medium.

The data in the table shows that for red light, regardless of the medium, the relationship \( v = f \times \lambda \) holds true. Although the speed of the light varies in different media, the frequency remains constant at 0.4612 (in \(10^{15}\) hertz), and when multiplying the frequency by the corresponding wavelength in each medium, the speed calculated matches the values provided in the table. This supports the claim that the fundamental relationship among speed, frequency, and wavelength remains valid across different media.