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Question

A ray of light parallel to xaxis is incident on a circle x2+y2=R2 polished from inside as shown in the figure. Find the co-ordinate of x and y of the point at which the incident ray should fall such that the reflected ray deviated by 60 after reflection.


A
(x,y)=(3R2,R2)
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B
(x,y)=(R2,R2)
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C
(x,y)=(R2,3R2)
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D
(x,y)=(R2,R2)
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Solution

The correct option is C (x,y)=(R2,3R2)
The given situation can be shown below as
So, here from the geometry we can say that the co-ordinates are
(x,y)=(Rcos60,Rsin60)
(x,y)=(R2,3R2)

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