Atank of gasoline (n = 1.40) is open to the air (n = 1.00). a thin film of liquid floats on the gasoline and has a refractive index that is between 1.00 and 1.40. light that has a wavelength of 626 nm (in vacuum) shines perpendicularly down through the air onto this film, and in this light the film looks bright due to constructive interference. the thickness of the film is 271 nm and is the minimum nonzero thickness for which constructive interference can occur. what is the refractive index of the film?

Refractive index = 1.15

Explanation:

As we know for constructive interference of reflected light the path difference of two reflected light rays must be integral multiple of the wavelength

so here we have

now here we know that

now we have

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

snell's law

refractve index = sin incidence / sin refraction