Question

In vacuum the speed of light depends upon
A) frequency
B) wavelength
C) velocity of light sources
D) None of these.

Answer 1

Hint: We need to discuss whether the speed of the light depends on the factors given in the option that is frequency, wavelength and the velocity of the light source. Also it is known that speed of light is related to its wavelength and frequency but speed of light is constant in a particular medium.

Complete step by step answer:
As we know that the speed of light depends on the material medium in which it is propagating. If the light is travelling in vacuum its speed will be the fastest. The speed of light depends on the refractive index of the medium. If a medium is denser than the refractive index of that medium will be more and thus the speed of light that medium will be less.
So, we can say that the speed of light only depends on the density of the medium in which it is travelling. The speed of light is faster than any other moving object. The speed of light neither depends on the frequency or wavelength. The speed of light is also independent of the velocity of the source. The speed of light is $3\times {10}^8\text{m}{\text{s}}^{\text{ - 1}}$. This is the maximum known velocity of any object or wave till date. Thus, options A, B and C are incorrect.

Therefore, the correct option is D that is none of these

Note: The speed of light depends on the refractive index of the medium in which the light is travelling so remember that it is independent of frequency, wavelength, amplitude, or the velocity of light source.