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Question

*Focal length* Two thin lenses with focal lengths $p$ and $q$ and separated by a distance $d$ have their combined focal length given by the reciprocal of

$\frac{1}{p}+\frac{1}{q}-\frac{d}{p q}$

(a) Combine these fractions.

(b) Use the reciprocal of your answer in (a) to find the combined focal length.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4**(a.)** In order to simplify the given fraction, it is convenient that both be expressed as the same denominator. In this case, the denominator is not the same then we have to take Least common denominator (LCD) to write the equivalents of each of the fractions with a common denominator.

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