While flying in a helicopter, you look out through your \"Blue Blocker\" sunglas

Question

While flying in a helicopter, you look out through your "Blue Blocker" sunglasses (lenses

are yellow: ? = 580 nm), and you see what looks like one large animal lying on the

grass below you. With a second look, you are just able to distinguish that there are in

fact two dogs, separated by a small distance. Later you find out that they were 0.35 m

from each other.

A.If the average human pupil has a diameter of 2 mm and the index of refraction of

your eye is 1.36, what is your altitude?

B. If you were looking through a blue

Explanation / Answer

A) rayleight criterion sin theta = 1.22 lambda/D

and tan theta = y/L

small angle so sin theta = tan theta

y/L = 1.22 lambda/D but lambda = lambda0/n

so

0.35/L = 1.22*(580.0E-9/1.36)/2.0E-3

L=1345 m

b)

y/L = 1.22 lambda/D but lambda = lambda0/n

so blue so wavelength = 475 nm

y/1609 = 1.22*(475.0E-9/1.36)/2.0E-3

y=0.343 m

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