Question

Consider the situation in figure. The bottom of the pot is reflecting plane mirror , S is small fish is a human eye . Refractive index of water is `mu`. Fish can see two images of human eye , first due to refractive only and other due to refraction and than reflection . Distance of these images from fish are `S_(1) "and" S_(2)` respectively . Human eye can also see the two images of fish, first due to refraction only and other due to reflection and then refraction . Distance of these images from human eye are `S_(3) "and" S_(4)` respectively . Match the quantities of column-I (with their value in column-(II)

`{:("Column I","Column II"),((A) S_(1),(p)H[1 + (1)/(2mu)]),((B)S_(2),(q) H[mu + (1)/(2)]),((C)S_(3) , (r) H[1 + (3)/(2mu)]) , ((D) S_(4) , (s) H[mu + (3)/(2)]):}`

Answer 1

Correct Answer - (A)-q (B)-s (C)-p (d)-r

`E_(1)` at `((H)/(2) + muH) implies H(mu+(H)/(2))`
`E_(2) "at" (muH + H + (H)/(2)) implies H(mu + (3)/(2))`
`F_(1) "at" ((H)/(2mu) + H) implies H((1)/(2mu) +1)`
`F_(2) "at" ((3H)/(2mu) + H) = H((1+3)/(2mu))`