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CBSE Class 10 Answered

I have 2 questions. 1:Prove r=2f or f= r=/2. 2:State Mirror Formula.
Asked by ananyachandra90 | 08 Jun, 2019, 09:28: PM
answered-by-expert Expert Answer
 
As shown in the figure ray AB is parallel to CP
So pair of alternate interior angles are equal 
Therefore
angle A B C equals angle F C B
And
angle i equals angle r
T h e r e f o r e
angle i equals angle r equals angle theta
and s we know sides opposite to equal angles are equal 
hence
FC=FB
AS the ray AB is very close to principle axis
FB=FP
so
FC=FB=FP
Now
CP=FC+FP
CP=FC+FC
CP=2FC
or
CP=2FP
CP=radiusof curvature(R)
FP=Focal length(f)
Therefore
R=2f
 
 
Mirror formula
 
1 over v plus 1 over u equals 1 over f
Answered by Utkarsh Lokhande | 09 Jun, 2019, 08:46: AM
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