You are passing by a small pool full of a clear liquid. You don’t know if the li

Question

You are passing by a small pool full of a clear liquid. You don’t know if the liquid is water or something else. You checked that the apparent depth of the pool is 4 m. You jumped inside the pool and found that the real depth of the pool is 6 m. What is the index of refraction of the liquid inside the pool? Using table 23.1 in the textbook and find what liquid is there in the pool.

THE REFRACTION OF LIGHT RAC TION OF LIGHT: SNELLSL 23.3 AW = 589.3 nm in Vacuum s of Refraction for 589.3 nm in 'C unless otherwise noted) dcum Material Index Liquids Water Acetone Ethyl alcohol Carbon tetrachloride Glycerine Sugar solution (80%) Benzene Carbon disulfide Methylene iodide 1.333 1.36 1.361 1.461 1.473 1.49 1.501 1.628 1.74 4 Gases at ,1 atm Helium Ethyl ether Water vapor Dry air Carbon dioxide 1.000036 1.000 152 1.000 250 1.000 293 1.000 449 23 19 indices of refraction for several m m. (It 1S e' stance ction of a m on the temperature of the matei aterial depends on the temperature of the ma T1l1 21 lists indices of refractiol m, (It is customa tance nm. (It is

Explanation / Answer

Here,

apparent depth , da = 4 m

real depth of pool , d = 6m

as apparent depth = real depth of pool/n

where n is the refractive index of liquid

4 = 6/n

n = 1.5

the index of refraction of the liquid inside the pool is 1.5

Using the table

the liquid inside the pool is Benzene

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