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# Two transparent media of refractive indices μ1 and μ3 have a solid lens shaped transparent material of refractive index μ2 between them as shown in figures in List 2. A ray traversing these media is also shown in the figures. In List 1 different relationships between μ1, μ2 and μ3 are given. Match them to the ray diagram shown in List 2.

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#### In the above equation, as sine is an increasing function in 0 to π2, if μ2>μ1,i>r and if μ2<μ1,i<r.Thus light rays going from rarer medium to denser medium will bend towards the normal and vice versa.It can be seen from the image how the light rays bend when they refract at a curved surface. (Line along the radius is the normal here as shown in the figure)If the ray goes undeviated, then the refractive indexes are same.So in 1, μ1<μ2 and μ2=μ3So in 2, μ1>μ2 and μ2>μ3So in 3, μ1<μ2 and μ2=μ3So in 4, μ1>μ2 and μ2>μ3So in 5, μ1>μ2 and μ2=μ3

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Q1
Two transparent media of refractive indices μ1 and μ3 have a solid lens shaped transparent material of refractive index μ2 between them as shown in figures in List 2. A ray traversing these media is also shown in the figures. In List 1 different relationships between μ1, μ2 and μ3 are given. Match them to the ray diagram shown in List 2.
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Q2
Two transparent media of refractive indices μ1 and μ3 have a solid lens shaped transparent media of refractive index μ2 between them as shown in figure.

The correct relation between refractive indices is:
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Q3
Two transparent mediums of refractive indices μ1 and μ3 have a solid lens shaped transparent material of refractive index μ2 between them as shown in figures. A ray traversing these mediums is also shown in the figures.

Column I, Column II and Column III represent different relationship among refractive index (μ), wavelength of light (l) and velocity of light (v) in 3 different media.

Column IColumn IIColumn III(I)μ1>μ2(i)λ2>λ3(P)v2>v1(II)μ3>μ2(ii)λ1=λ3(Q)v2=v3(III)μ1>μ3(iii)λ1<λ2(R)v3<v2(IV)μ2>μ3(iv)λ2<λ3(S)v1=v3

Which of the combination is correct for figure 2?

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Q4
Two transparent mediums of refractive indices μ1 and mu3 have a solid lens shaped transparent material of refractive index μ2 between them as shown in figures. A ray traversing these mediums is also shown in the figures.

Column I, Column II and Column III represent different relationship among refractive index (μ), wavelength of light (λ) and velocity of light (v) in 3 different media.

Column IColumn IIColumn III(I)μ1>μ2(i)λ2>λ3(P)v2>v1(II)μ3>μ2(ii)λ1=λ3(Q)v2=v3(III)μ1>μ3(iii)λ1<λ2(R)v3<v2(IV)μ2>μ3(iv)λ2<λ3(S)v1=v3

Which of the combination is correct for figure 1?

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Q5
A ray of light passes through four transparent media with refractive indices μ1,μ2,μ3 & μ4 as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have:

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