Chapter 24, Problem 61P

24.7 Skills for applying the wave model of light

* BIO Ability of a bat to detect small objects Bats emit ultrasound in order to detect prey. Ultrasound has a much smaller wavelength than sound, which improves the resolution of small objects. What is the diameter of the smallest object that forms a diffraction pattern when irradiated by the $\text{8}{\text{.0 × 10}}^{\text{4}}\text{-Hz}$ ultrasound from a bat? The first diffraction minimum from the smallest object that still produces diffraction forms at $90°$ with respect to the direction of the incident waves.