Question

A vessel is half filled woth a liquid of refractive index n. the other half

Answer 1

I presume that the answer is 1.67.

I applied the formula apparent depth= d/2 ( 1/n1+ 1/n2 )

where d is the real depth and n1 and n2 are the refractive indices

OR

Expression for refractive index:

μ=Real depthApparent depth

Half filled with refractive index n:

Apparent depth =Real depthn
                         =d/2n
                       =d2n

Other half filled with refractive index 1.5n:

Apparent depth =Real depth1.5n
                           =d/21.5n=d3n

Total apparent depth:

Total apparent depth=d2n+d3n                                      =5d6n

But, total apparent depth is d/2.

Hence,

5d6n=d26n=10  n=106     =1.67

                         HOPE IT HELP YOU..
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