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CBSE Class 10 Answered

If f is 10.05 and n=1.49 d=23.2 , lens is thick lens .find R1 and R2 . assume R1=R2=X
Asked by aditya.rane | 10 Aug, 2019, 05:40: PM
answered-by-expert Expert Answer
we have lens makers formula for thick lens as,  1/f = (n-1)[ (1/R1) - (1/R2) + (n-1)t/(nR1R2) ]
 
where f is focal length, n is refractive index, t is thicknss, R1 and R2 are radii of curvature.
 
if R1 = -R2 = R, then above relation will become,  1/f = (n-1)[ (2/R) - (n-1)t / (nR2) ]
 
Let 1/R = α , then above equation can be written in the form,  Aα2 -Bα + C = 0 ...................(1)
 
where A = (n-1)t/n  ,  B = 2  and C = 1/[ f (n-1) ]
 
By substituting the values , qudratic eqn.(1) can be solved to get α = 1/R
 
( when i substituted the given values, roots of eqn.(1) are coming imaginary. Hence I suspect some thing wrong in the given data.
 
if all the dimensions are cm, then thickness 23.2 cm is unrealistic data )
Answered by Thiyagarajan K | 10 Aug, 2019, 09:19: PM

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