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A beautiful girl with two normal eye wan...

A beautiful girl with two normal eye wants to see full width of her face by a plane mirror. The eye to eye and ear to ear distances of her face are 4 inch and 6 inch respectively. Fine the minimum width of the required mirror.

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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)]):}

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)]):}