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Q.

A reflecting surface is represented by the equation y=2Lπsin(πxL)oxL  . A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is

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a

(L3,3Lπ)

b

(2L3,3Lπ)

c

(3L4,2Lπ)

d

(L4,2Lπ)

answer is B, D.

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Detailed Solution

As the horizontal ray becomes vertical the angle of deviation

d=90°

180°2i=90°

i=45°

Hence slope of the given surface at P is tan45°=1

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A reflecting surface is represented by the equation y=2Lπsin(πxL)o≤x≤L  . A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is