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Question

A ray of light is incident on a glass slab. The light ray travels distance of 5 cm inside the glass slab before emerging out of the slab. If the incident ray suffers a deviation of 30 after the first referaction, the perpendicular distance between incident and the emergent ray is :

A
5 cm
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B
2.5 cm
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C
7.5 cm
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D
10 cm
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Solution

The correct option is B 2.5 cm

The deviation suffered by incident ray after first referaction is,
δ=ir
(ir)=30
'MN' is distance between incident and emergent ray and PM is the distance travelled by refracted ray in slab.

From ΔPMN,
MPN=ir=30
sin 30=MNPM
or 12=MN5 ( PM=5 cm)
MN=52=2.5 cm
Why this question?

It intends to test your understanding of geometry of ray diagram and concept of lateral shift.

Tip: Distance travelled by light ray is measured from point of incidence to point of emergence.

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