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ICSE Class 10 Answered

How to find focal length of combination
Asked by rsharini.04 | 23 Nov, 2020, 07:43: AM
answered-by-expert Expert Answer
In above figure , let  focal lengths of the two lenses be f1 and f2.
u1 = OC1 and v1 = I1C1
u2= -C1I1 which is approximately equal to C2 I1 and v2 = C2I which is approximately equal to C1I

Therefore
1/u1 + 1/v1 = 1/f1 and 1/u2 + 1/v2 = 1/f2

1/OC1 + 1/I1C1 = 1/f1 and 1/- C1I1 + 1/C1I = 1/f2

Therefore:
1/OC1 + 1/I1C1 = 1/f1 + 1/f2 = 1/F 

Combined focal length of two thin lenses in contact is given by:  F  = (f1f2 / [f1 + f2]

Answered by Thiyagarajan K | 23 Nov, 2020, 09:26: AM
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