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Grade 11Wave Optics

Convex and concave mirror have the same radii of curvature R.The distance between the mirrors is 2R.At what point on the common optical axis of the mirror should a point source of light A be placed for the ray to covarage at point A after being reflected first on convex and then on concave mirror?

Profile image of varun  navandar
16 Years agoGrade 11
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1 Answer

Profile image of harini desiraju
15 Years ago

Ans:R

Sol'n:let the source be at a distance X from concave mirror.Then for convex mirror,

(1/2R-X)-(1/V)=2/R

from this we get, V=R(2R-X)/2X-3R

for concave mirror,we have 

[1/(2R+V)]+(1/X)=2/R

substituting the value of V and furthur solving for X we get X=R.