A reflecting surface is represented by the equation `y = (2L)/(pi) sin ((pi x)/(L))`, where `0 le x le L`. A ray of light travelling horizontally becomes vertical after reflection with the surface. The co-ordinates of the point where this ray is incident is. A. `(L/4,(sqrt(2)L)/(lamda))`B. `(L/3,(sqrt(3)L)/(pi))`C. `((3L)/4,(sqrt(2)L)/(lamda))`D. `((4L)/3,(sqrt(3)L)/(pi))`

A reflecting surface is represented by the equation `y = (2L)/(pi) sin

1.	A reflecting surface is represented by the equation `y = (2L)/(pi) sin ((pi x)/(L))`, where `0 le x le L`. A ray of light travelling horizontally becomes vertical after reflection with the surface. The co-ordinates of the point where this ray is incident is. A. `(L/4,(sqrt(2)L)/(lamda))`B. `(L/3,(sqrt(3)L)/(pi))`C. `((3L)/4,(sqrt(2)L)/(lamda))`D. `((4L)/3,(sqrt(3)L)/(pi))`
Answer» Correct Answer - B `(dy)/(dx)=2 "cos" ((2x)/L)=-1` `cos(pix)/L=-1/2` `x=L/3,(2L)/3`

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