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Question-137547




Question Number 137547 by physicstutes last updated on 03/Apr/21
Commented by physicstutes last updated on 03/Apr/21
The above figure shows a ray of light of frequency 1.67 × 10^(12) Hz.  It goes from a space of refractive index 1.33, to a material of refractive  index 1.66 then finally to another material as shown.   which of the following assertions are correct about the refractive index of the  last material:  A. Its value is 1.33  B.its value is 1.66  C.Its value is greater than 1.3 but less than 1.52  D. Its value is greater than 1.52 but less than 1.6.
$$\mathrm{The}\:\mathrm{above}\:\mathrm{figure}\:\mathrm{shows}\:\mathrm{a}\:\mathrm{ray}\:\mathrm{of}\:\mathrm{light}\:\mathrm{of}\:\mathrm{frequency}\:\mathrm{1}.\mathrm{67}\:×\:\mathrm{10}^{\mathrm{12}} \mathrm{Hz}. \\ $$$$\mathrm{It}\:\mathrm{goes}\:\mathrm{from}\:\mathrm{a}\:\mathrm{space}\:\mathrm{of}\:\mathrm{refractive}\:\mathrm{index}\:\mathrm{1}.\mathrm{33},\:\mathrm{to}\:\mathrm{a}\:\mathrm{material}\:\mathrm{of}\:\mathrm{refractive} \\ $$$$\mathrm{index}\:\mathrm{1}.\mathrm{66}\:\mathrm{then}\:\mathrm{finally}\:\mathrm{to}\:\mathrm{another}\:\mathrm{material}\:\mathrm{as}\:\mathrm{shown}. \\ $$$$\:\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{assertions}\:\mathrm{are}\:\mathrm{correct}\:\mathrm{about}\:\mathrm{the}\:\mathrm{refractive}\:\mathrm{index}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{last}\:\mathrm{material}: \\ $$$$\mathrm{A}.\:\mathrm{Its}\:\mathrm{value}\:\mathrm{is}\:\mathrm{1}.\mathrm{33} \\ $$$$\mathrm{B}.\mathrm{its}\:\mathrm{value}\:\mathrm{is}\:\mathrm{1}.\mathrm{66} \\ $$$$\mathrm{C}.\mathrm{Its}\:\mathrm{value}\:\mathrm{is}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{1}.\mathrm{3}\:\mathrm{but}\:\mathrm{less}\:\mathrm{than}\:\mathrm{1}.\mathrm{52} \\ $$$$\mathrm{D}.\:\mathrm{Its}\:\mathrm{value}\:\mathrm{is}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{1}.\mathrm{52}\:\mathrm{but}\:\mathrm{less}\:\mathrm{than}\:\mathrm{1}.\mathrm{6}. \\ $$

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