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Byju's Answer

Standard XII

Physics

Refractive Index

In the figure...

Question

In the figure shown $μ_{1}$ , $μ_{2}$ , $μ_{3}$ , $μ_{4}$ and $μ_{5}$ are the refractive indices of the mediums 1, 2, 3, 4 and 5 respectively.
Consider the following
1. $μ_{1}$ = $μ_{2}$
2. $μ_{3}$ = $μ_{4}$ = $μ_{5}$
3. $μ_{2}$ < $μ_{3}$
4. $μ_{4}$ > $μ_{5}$
Which of the relations of refractive indices are correct?

1 and 2

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1, 2 and 3

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1 and 3

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Only 1

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Solution

The correct option is C Only 1
When a ray of light travels from a medium to another medium having different refractive index, the ray bends. Since in the above figure, ray of light passes through the first lens without deflection, this means that $μ_{1} = μ_{2}$ .

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Similar questions

Q. A ray of light passes through

4

transparent media with refractive indices

μ_{1}, μ_{2}, μ_{3}

and

μ_{4}

as shown. The surface of all media are parallel. If the emergent ray

CD

is parallel to the incident ray

AB

, 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. Light is made to travel from medium 1 to medium 3 through medium 2 as shown in figure. If

μ_{1}, μ_{2}

and

μ_{3}

are the refractive indices of first, second and third media and

i_{2} > i_{1}

, then

Q. 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 List 2. A ray traversing these media is also shown in the figures. In List 1 different relationships between

μ_{1}, μ_{2}

and

μ_{3}

are given. Match them to the ray diagram shown in List 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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In the figure shown μ1, μ2, μ3, μ4 and μ5 are the refractive indices of the mediums 1, 2, 3, 4 and 5 respectively.Consider the following1. μ1 = μ22. μ3 = μ4 = μ53. μ2 < μ34. μ4 > μ5Which of the relations of refractive indices are correct?

The correct option is C Only 1When a ray of light travels from a medium to another medium having different refractive index, the ray bends. Since in the above figure, ray of light passes through the first lens without deflection, this means that μ1=μ2.

The correct option is C Only 1
When a ray of light travels from a medium to another medium having different refractive index, the ray bends. Since in the above figure, ray of light passes through the first lens without deflection, this means that $μ_{1} = μ_{2}$ .