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  4. A ray of light, travelling in medium A, is incident on plane interface of two media A and B and gets refracted into medium B. The angle of incidence is i and that of refraction is r. Graph between sin(i) and sin(r) is as shown in diagram. The correct statement among the following is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-y7qktywq4ahb.png />

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Q. A ray of light, travelling in medium A, is incident on plane interface of two media A and B and gets refracted into medium B. The angle of incidence is i and that of refraction is r. Graph between sin(i) and sin(r) is as shown in diagram. The correct statement among the following is

Question

NTA AbhyasNTA Abhyas 2020Ray Optics and Optical Instruments

Solution:

$\frac{\sin i }{\sin r }=\cot 37=\frac{4}{3}=\frac{ V _{ A }}{ V _{ B }}$
as going from rarer to denser no TIR can take place
$\frac{\mu_{ B }}{\mu_{ A }} > 1$
$\Rightarrow \mu_{ B } > \mu_{ A }$