1.

Each quarter of a vessel of depth H is filled with liquids of the refractive indices n_(1),n_(2),n_(3) and n_(4) from the bottom respectively. The apparent depth of the vessel when looked normally is

Answer»

`(H(n_(1)+n_(2)+n_(3)+n_(4)))/(4)`
`(H((1)/(4)+(1)/(n_(2))+(1)/(n_(3))+(1)/(n_(4))))/(4)`
`((n_(1)+n_(2)+n_(3)+n_(4)))/(2)`
`(H((1)/(n_(1))+(1)/(n_(2))+(1)/(n_(3))+(1)/(n_(4))))/(2)`

Solution :(b) APPARENT DEPTH of bottom
`=(H//4)/(mu_(1))+(H//4)/(mu_(2))+(H//4)/(mu_(3))+(H//4)/(mu_(4))`
`(H)/(4)((1)/(mu_(2))+(1)/(mu_(2))+(1)/(mu_(3))+(1)/(mu_(4))).`


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