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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?

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?

Grade:11

1 Answers

harini desiraju
31 Points
10 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.

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