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Q.

Is it true that two identical prisms can be placed in such a way that a narrow beam of white light incident on one prism emerges out of the second prism as a white light?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is true.
Two identical prisms can be placed in such a way that a narrow beam of white light incident on one prism emerges out of the second prism as a white light. This experiment is done by using two identical prisms

P_{1}

and

P_{2}

. Both the prisms are made up of same material and are having same refractive index A. The prisms

P_{1}

and

P_{2}

are arranged in such a way that

P_{1}

is upward and

P_{2}

is down ward as shown in figure1. Sunlight from a narrow slit

' S'

is made to fall on prism

P_{1}

. The prism

P_{1}

has its base down ward so it will disperse light into its constituent colours (i.e. VIBGYOR). The dispersed light will get deviated towards the base of prism while emerging out. The dispersed light coming out of

P_{1}

enters

P_{2}

. Inside prism

P_{2}

all dispersed light is combined together as the prism

P_{2}

is placed in inverted position. The recombined light emerges out of prism

P_{2}

as a white light and it is deviated towards the base of prism

P_{2}

which is upward. So, the path of emergent ray from prism

P_{2}

is similar to path of incident ray on first prism

P_{1}

as shown in figure1. Prism

P_{1}

is called as dispersing-prism and prism

P_{2}

is called as recombination-prism Question Image

Question Image

Figure1: Arrangement of two identical prisms

P_{1}

and

P_{2}

for experiment.

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Is it true that two identical prisms can be placed in such a way that a narrow beam of white light incident on one prism emerges out of the second prism as a white light?