k transparent slabs are arranged one over another. The refractive indices of the slabs are g„ ...Ilk and the thicknesses are `t_1, t_2, t_3............., t_k` . An object is seen through this combination with nearly perpendicular light. Find the equivalent refractive index of the system which will allow the image to be formed at the same place.
k transparent slabs are arranged one over another. The refractive indices of the slabs are g„ ...Ilk and the thicknesses are `t_1, t_2, t_3............., t_k` . An object is seen through this combination with nearly perpendicular light. Find the equivalent refractive index of the system which will allow the image to be formed at the same place.
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A
Total no of slab =k,
thickness `=t_1, t_2, t_3, …………..t_k`
Refractve index `=mu_1,mu_2,mu_3……….mu_k`
`:.The shift Dt=[1-1/mu_1]t_1+[1-1/mu_2]t_2`
`=+……[1-1/mu_k]t_k`……….i
`If murarr refractive index of combiN/Ation of slabs and image is formed at same place.
/_\t=(1-(1/mu)](t_1+t_2)..............+t_k`...............ii
`Equating i and ii we get (error)`
thickness `=t_1, t_2, t_3, …………..t_k`
Refractve index `=mu_1,mu_2,mu_3……….mu_k`
`:.The shift Dt=[1-1/mu_1]t_1+[1-1/mu_2]t_2`
`=+……[1-1/mu_k]t_k`……….i
`If murarr refractive index of combiN/Ation of slabs and image is formed at same place.
/_\t=(1-(1/mu)](t_1+t_2)..............+t_k`...............ii
`Equating i and ii we get (error)`
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