The speed of light in glycerol will be 2.03 ×10⁷ m/sec. The speed of light is found as the ratio of the speed of light in air and the refractive index.
The level of bending of a light beam as it goes from one medium to another is known as the refractive index of the medium.
The frequency of the wave is given as;
[tex]\rm f = 5.09 \times 10^{14} Hz[/tex]
The refractive index of ethyl alcohol is n=1.4722
The substance's index of refraction yields the ratio of light speed in a vacuum to light speed in that medium, the speed of light is sound as;
[tex]\rm n = \frac{C}{v} \\\\ \rm v = \frac{C}{n} \\\\ \rm v = \frac{3 \times 10^8}{1.4722} \\\\ v= 20377660.00\ m/sec \\\\ v= 2.03 \times 10^7 m/sec[/tex]
Hence, the speed of light in glycerol will be 2.03 ×10⁷ m/sec.
To learn more about the refractive index, refer to the link;
https://brainly.com/question/23750645
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