A ray parallel to the x− axis is incident on a spherical reflecting surface having radius R and the reflected ray becomes parallel to the y - axis as shown in the figure. Find the coordinates of point P.
A
(R√2,R√3)
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B
(−R√2,R√2)
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C
(−R2,R2)
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D
(−R,R)
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Solution
The correct option is B(−R√2,R√2) As per the law of reflection ∠i=∠r
As, ∠i+∠r=90∘
So, ∠i=∠r=45∘
Coordinates of point P are thus given as P=(−Rcos45∘,+Rsin45∘) =(−R√2,R√2)