Optics 3 Question 29

29. Two thin lenses, when in contact, produce a combination of power +10D. When they are 0.25m apart, the power reduces to +6D. The focal length of the lenses are …… m and ……m.

(1997, 2M)

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Answer:

Correct Answer: 29. 0.125,0.5

Solution:

  1. When the lenses are in contact, the power of the system is

P=P1+P2 or P1+P2=10

When lenses are separated by a distance d=0.25m=14m

The power is P=P1+P2dP1P2

or P1+P2P1P24=6

Solving Eqs. (i) and (ii), we can find that P1=8D and P2=2D

f1=18m=0.125mf2=12m=0.5m



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