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Convex and concave mirrors have the same...

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

Text Solution

Verified by Experts


for convex mirror
`1/v+1/(-x)=(1)/(+R//2)`
`:. 1/v=2/R+1/x or v=(Rx)/(R+2x)`
Now, applying mirror formula for mirror we have
`(1)/(-(2R-x))+(1)/(-(2R+v))=(1)/(-R//2)`
Solving this equation , we cam find value of x.
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