Question #184078

a number of scientists between the 10th and the 17th centuries (Sahl, Snellius, Descartes) concluded that the following formula should relate the angle of incidence with the angle of refraction. Sini= sinr/n explain?


1
Expert's answer
2021-04-23T07:27:20-0400

sini=sinrnsini = \frac{sinr}{n}

It explains that whenever the light goes from one medium to another medium its speed changes due to the characteristics of that medium. Such property of medium is measured by a quantity called reflective index n.

Suppose if the light goes from air to any other denser medium of refractive index n. Then considering the refractive index of air n=1, we found

n (refractive index of denser medium) =sinisinr= \frac{sini}{sinr}

If the speed of light in air is c and in the denser medium of refractive index is v, then the above law can be written as

cv=sinisinr\frac{c}{v}=\frac{sini}{sinr}

c>v hence i>r


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