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Question

# In bright light, the pupils of the eyes of a cat narrow to a vertical slit 0.30 mm across. Suppose that a cat is looking at two mice 18 m away. What is the smallest distance between the mice for which the cat can tell that there are two mice rather than one using light 560 nm? Assume the resolution is limited by diffraction only.

Solution

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$\textbf{Givens:}$

The diameter of the pupil, $a$, is $3.0 \times 10^{-4}\text{\ m}$,

the distance between the cat and the mice, $L$, is $18 \text{\ m},$ and

the wavelength, $\lambda$, is f $5.60\times 10^{-7} \text{\ m}$.

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