A right angled prism of refractive index `mu_(1)` is placed in a rectangular block of refractive index `mu_(2)` , which is surrounded by a medium of refractive index `mu_(3)` ,as shown in the figure . A ray of light 'e' enters the rectangular block at normal incidence . depending upon the relationship between `mu_(1) , mu_(2)` "and" `mu_(3)` , it takes one of the four possible paths 'ef' , 'eg' , 'eh' or 'ei'

Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists:
` {:("List" I , "List" II) , ( P. e rarr f , 1. mu_(1)gt sqrt(2mu_(2))) , ( Q. e rarr g , 2. mu_(2) gt mu_(1) "and" mu_(2) gt mu_(3)), ( R. e rarr h , 3. mu_(1) = mu_(2)), ( S. e rarr i , 4. mu_(2) lt mu_(1) lt sqrt(2mu_(2)) "and" mu_(2) gt mu_(3)):}`
Codes :
`{:( P , Q , R , S) , ((A) 2 , 3 , 1 , 4), ((B) 1 , 2 , 4 , 3) , ((C) 4 , 1 , 2 , 3) , ((D) 2, 3 , 4 , 1):}`

Options

A. P = 2, Q = 3, R = 1, S = 4
B. P = 1, Q = 2, R = 4, S = 3
C. P = 4, Q = 1, R = 2, S = 3
D. P = 2, Q = 3, R = 4, S = 1

Answer

D