Let us list some of the factors,which could possibly influence the speed of wave propagation:
$(i)$ nature of the source.
$(ii)$ direction of propagation.
$(iii)$ motion of the source and/or observer.
$(iv)$ wavelength.
$(v)$ intensity of the wave.
On which of these factors,if any,does
$(a)$ the speed of light in vacuum,
$(b)$ the speed of light in a medium (say,glass or water),depend?

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(N/A) The speed of light in a vacuum,i.e.,$3 \times 10^{8} \ m/s$ (approximately),is a universal constant. It is not affected by the motion of the source,the observer,or both. Hence,none of the given factors affect the speed of light in a vacuum.
$(b)$ The speed of light in a medium depends on the wavelength of light in that medium (due to the phenomenon of dispersion).

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