A ray of light is incident on a medium with angle of incidence i and refracted into a second medium with angle of refraction r. The graph of $$sin$$(i) vs. $$sin$$(r) is as shown in figure. Then, the velocity of light in the first medium is n times the velocity of light in the second medium. What should be the value of n?

Question

Infinity Learn · Accepted Answer

From snell's law, μ$$1sin$$⁡$$i=$$μ$$2sin$$⁡r⇒μ$$2$$μ$$1=$$$$sin$$⁡isin⁡rFrom the graph, $$tan$$ $$60$$° $$=$$ $$sin$$⁡isin⁡r⇒$$sin$$⁡isin⁡$$r=3=$$μ$$2$$μ$$1$$μ$$=cv$$⇒$$=$$μ$$1$$μ$$2=v2v1v1=$$μ$$2$$μ$$1v2$$⇒$$v1=3v2$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material