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Question

# 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?

A
(II)(ii)(P)
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B
(II)(i)(R)
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C
(IV)(i)(Q)
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D
(III)(iv)(P)
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Solution

## The correct option is B (II)(i)(R)When ray passes undeflected ⇒ Same refractive index. Ray bends towards normal ⇒ Rarer to denser Ray bends away from normal ⇒ Denser to rarer Hence, figure: 1 ⇒μ3=μ2>μ1 figure: 2 ⇒μ3<μ2<μ1 figure: 3 ⇒μ3>μ2=μ1 Also, Velocity ∝ wavelength ∝1Refractive index

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