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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Another assignment question-lenses
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learner (369)

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Two lenses,when in contact produce a focal length of power +10D.When they are 0.25m apart,power reduces to +6D.Find focal lengths of the two lenses.


Is it 0.16m &0.26m?


If not,please show the method


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Thanks!:-)

    
shubham.123 (307)

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 when they r placed in contact P1+P2=+10D


when at a distance of .25 mthe formula we used here is P1+P2 -dP1P2 (where d is distance b/w them)


now form the eq.


we get here P1+P2-dP1P2  = +6D


now solve this eq .


AND USING (P1-P2)^2 =(P1+P2)^2-4dP1P2


P1-P2=6


now solve the above eq


P1=8


P2=2

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adi_rockss (473)

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Case 1:


P1+P2=10


and formula when two lenses are separated by a distance d


Pnet= P1+P2-dP1P2 = +6 D


On solving the equations u get two values for the powers of both the lenses


P1=8 ...f=0.125 ...P2=2 ....f=0.5


and vice versa..


 


 

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learner (369)

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thanks..i didnt know this formula...


did some really long stuff....it took around two pages...n still wrong!!!!lol!!!


Thanks!:-)

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adi_rockss (473)

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netime frnd!!

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celestine (76)

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Sorry adi the formula you used is applicable only if d is negligible when compared to focal length

The correct ans are .308 , .148
-.058, .0367

Check it for urself !!!!
cheers

IM NO BABY
I HAVE THE SEVENTH SENSE
NONSENSE!!!!!!!!!!!
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adi_rockss (473)

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Sorry learner...


what celestine is saying is true...


d shud be negligible...


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