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Q.

Following are graphs of angle of deviation versus angle of incidence.

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Based on the above graphs mark the correct options.

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a

Graph-a may be a part of the graph for ray of light that travels from denser to rarer medium. 

b

Graph-c may be for ray of light that travels from denser to rarer medium .

c

Graph-b may be a part of the graph for ray of light that is reflected from a plane mirror. 

d

Graph-b may be for ray of light that is totally internally reflected from a denser to rarer medium boundary.

answer is A, B, D.

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Detailed Solution

Light travels from rarer to denser medium

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δ=i-r δ=i-sin-1sin iμ

non-linear increasing function of i.

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Slope of tangent: dδdi=1-cos iμ2-sin2i

Slope of tangent decreases as i increases.

Hence 'c' is the graph for light that travels from rarer to denser medium.

For light that travels from denser to rarer medium ,δ = r-i =sin-1(μ sin i)-i d2δdi2=μ(μ2-1) sin i(1-μ2sin2i)32>0 . So option (1) is right .

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