Question

# 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 Column II. A ray traversing these media is also shown in the figures. In Column I different relationship between μ1,μ2 and μ3 are given. Match them to the ray diagram shown in Column II.

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#### (A) μ1<μ2Since there are multiple systems & combination given.SO if μ1<μ2,Then convex surface will behave converging & concave surface will behave diverging at that interface ,which can be observed in 1&3.(B) μ1>μ2 if μ1>μ2 then convex surface will behave diverging & concave surface will coverge the rays which can be observed 2,4,5(C) If μ2=μ3, then there will be no deviation in the light ray.At the interface of μ2&μ3.Which can be observed in 1,3 &5.(D)If μ2>μ3 then convex surface will behave converging & concave surface will behave diverging.

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Q1

What is the relation between refractive indices μ1,μ2 and μ3 if the behaviour of light rays is as shown in the figure. The refractive index of medium to the left of the lens is μ1 , that of lens is μ3 and that of medium to the right of lens is μ2 .

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Q2

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 3?

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Q3

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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Q4

A right angled prism of refractive index μ1 is placed in a rectangular block of refractive index μ2, which is surrounded by a medium of refractive index μ3, as shown in the figure. A ray of light e enters the rectangular block at normal incidence. Depending upon the relationship between μ1,μ2 and μ3, it takes one of the four possible paths ef,eg,eh or ei.

Match the paths in List -I with conditions of refractive indices in List -II and choose the correct answer.
List - I List - II

(P) ef (1) μ1>2μ2
(Q) eg (2) μ2>μ1 & μ2>μ3
(R) eh (3) μ1=μ2=μ3
(S) ei (4) μ2<μ1<2μ2 & μ2>μ1

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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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