The pupil of an eagles eye has a diameter of 60 mm Two field

The pupil of an eagle’s eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 196 m, the eagle sees them as one unresolved object and dives toward them at a speed of 23 m/s. Assume that the eagle’s eye detects light that has a wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects? (Answer in seconds).

Solution

Resolving angle = (550*10^-9)/(6*10^-3) = 9.1667*10^-5

The angle when eagle starts = 0.010/196 = 5.102041*10^-5

now,

(5.102041*10^-5)/(9.1667*10^-5) = 0.556585

0.556585*196 = 109.091

The time passed until the eagle sees the mice as separate objects = 109.091/23 = 4.7431 sec