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Standard XII

Physics

Combinations of Lenses & Mirrors

Two transpare...

Question

Two transparent media of refractive indices $μ_{1}$ and $μ_{3}$ have a solid lens shaped transparent material of refractive index $μ_{2}$ 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 $μ_{1}, μ_{2}$ and $μ_{3}$ are given. Match them to the ray diagram shown in Column II.

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Solution

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

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Similar questions

Q. Two transparent media of refractive indices

μ_{1}

and

μ_{3}

have a solid lens shaped transparent media of refractive index

μ_{2}

between them as shown in figure.

The correct relation between refractive indices is:

Q. Two transparent mediums of refractive indices

μ_{1}

and

μ_{3}

have a solid lens shaped transparent material of refractive index

μ_{2}

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.

\begin{matrix} C o l u m n I & C o l u m n I I & C o l u m n I I I (I) & μ_{1} > μ_{2} & (i) & λ_{2} > λ_{3} & (P) & v_{2} > v_{1} (I I) & μ_{3} > μ_{2} & (i i) & λ_{1} = λ_{3} & (Q) & v_{2} = v_{3} (I I I) & μ_{1} > μ_{3} & (i i i) & λ_{1} < λ_{2} & (R) & v_{3} < v_{2} (I V) & μ_{2} > μ_{3} & (i v) & λ_{2} < λ_{3} & (S) & v_{1} = v_{3} \end{matrix}

Which of the combination is correct for figure 3?

Q. A ray of light passes through four transparent media with refractive indices

μ_{1}, μ_{2}, μ_{3}

μ_{4}

as shown in the figure. The surfaces of all media are parallel. If the emergent ray

C D

is parallel to the incident ray

A B

, we must have:

What is the relation between refractive indices $μ_{1}, μ_{2} and μ_{3}$ if the behaviour of light rays is as shown in the figure. The refractive index of medium to the left of the lens is $μ_{1}$ , that of lens is $μ_{3}$ and that of medium to the right of lens is $μ_{2}$ .

Q. A right angled prism of refractive index

μ_{1}

is placed in a rectangular block of refractive index

μ_{2}

, which is surrounded by a medium of refractive index

μ_{3},

as shown in the figure. A ray of light

^{'} e^{'}

enters the rectangular block at normal incidence. Depending upon the relationship between

μ_{1}, μ_{2}

and

μ_{3},

it takes one of the four possible paths

^{'} e f^{'},^{'} e g^{'},^{'} e h^{'}

^{'} e i^{'}

Match the paths in

List -I

with conditions of refractive indices in

List -II

and choose the correct answer.
List - I List - II

$(P) e \to f$	$(1) μ_{1} > \sqrt{2} μ_{2}$
$(Q) e \to g$	$(2) μ_{2} > μ_{1} & μ_{2} > μ_{3}$
$(R) e \to h$	$(3) μ_{1} = μ_{2} = μ_{3}$
$(S) e \to i$	$(4) μ_{2} < μ_{1} < \sqrt{2} μ_{2} & μ_{2} > μ_{1}$

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