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A reflecting surface is represented by t...

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))`

Text Solution

Verified by Experts

The correct Answer is:
B
`(dy)/(dx)=2 "cos" ((2x)/L)=-1`
`cos(pix)/L=-1/2`
`x=L/3,(2L)/3`
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