# Glass air correct explanation when a light ray goes

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4.015(part1of3)10.0pointsConsider a light ray which enters from air toa liquid, where the index of refraction of theliquid is given byn= 1.4.Consider the following three ratios, whereeach is defined by the specified quantity inglassaircorrectcorrect4.glassairExplanation:When a light ray goes from air into glass, itrefracts toward the normal.
014(part2of2)10.0pointsNow consider a ray approaching an inter-face from air into glass.glassairWhat is the approximate refracted ray?= 11.4AirLiquidlightrayWhat is the ratio of their wavelengths,λλ?the liquid,λ, f,andv,to that in the air,λ, f,andc.n= 11.4AirLiquidlightrayWhat is the ratio of their wavelengths,λλ?
2.glassair3.glassairExplanation:The frequency of an electro-magnetic waveis independent of the media in which it ispresent, that is,f=f.A ray with a frequencyf, has a wavelengthλ=cfin the vacuum. In a medium with anindex of refractionnand a velocityv, andfrom the definition of the index of refraction,ncv.λ=vf=vparenleftbigg1fparenrightbigg
koo (rk8653) – reflection refraction imaging HW – yeazell – (58010)6=parenleftBigcnparenrightBigparenleftbigg1fparenrightbigg=parenleftbigg1nparenrightbiggparenleftbiggcfparenrightbigg=λn.So forn= 1.4λλ=1n= 0.714286,ff= 1,andvc1n= 0.714286.016(part2of3)10.0pointsWhat is the ratio of their frequencies of oscil-lations,ff?017(part3of3)10.0pointsWhat is the ratio of the traveling speeds,vc?018(part1of2)10.0pointsAn optical fiber is made of a clear plastic for019(part2of2)10.0pointsWhat is the value ofαcdefined in the previousquestion for the given refractive index 1.42 ofthe fiber.The light remains in the fiber if the angleαas measuredfromthesurfaceis1.greater than a certain valueαc.2.less than a certain valueαc.correct3.equal to a certain valueαc.Explanation:BasicConcept:Critical angleθcfor totalinternal reflectionsinθc=n2n1.Solution:αθcSee Part 1.
koo (rk8653) – reflection refraction imaging HW – yeazell – (58010)702010.0pointsLight goes from flint glass into ethanol. Theangle of refraction in the ethanol is 29.3, theindex of refraction for flint glass is 1.61, andthe index of refraction for ethanol is 1.

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