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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
(iv) 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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(a) Dependence of the speed of light in a vacuum: The speed of light in vacuum is a universal constant. It is independent of all the factors listed above. It may be pointed out that Newton ion relativity principle does not apply to the speed of light. The fact that the speed of light is independent of the relative motion between the source and the observer is one of the postulates of Einstein’s special theory of relativity.

(b) Dependence of the speed of light in a medium:

(i) It does not depend on the direction of propagation, provided the medium is isotropic.

(ii) It does not depend on the relative motion between the source and the medium. However, it depends on relative emotion between, the source and the observer

(iii) It depends on the wavelength

(iv) It does not depend on the intensity.

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