Question

A converging lens of focal length 24 cm is placed next to a converging lens of length 50 cm. What is the effective focal length for this combination?

Answer 1

Answer on Question #71614-Physics-Optics

A converging lens of focal length 24 cm is placed next to a converging lens of length 50 cm. What is the effective focal length for this combination?

Solution

$${\frac {1}{f}} = {\frac {1}{f _ {1}}} + {\frac {1}{f _ {2}}}$$

The effective focal length for this combination is

$$f = \frac {f _ {1} f _ {2}}{f _ {1} + f _ {2}}$$ $$f = \frac {(50)(24)}{(50) + (24)} = 16.2 \text{ cm}.$$

Answer: 16.2 cm.

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