- #1
Elemental_
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Homework Statement
A mouse has an pupil diameter of 2.5 mm. lying 200 meters from the mouse are two stones 30 cm apart. λ = 500 nm
a) what angle do the stones subtend?
b) what is the MAR (minimum angle of resolution) of the mouse's eye.
Homework Equations
question a) tanθ = O/A
O= 0.3 m
A= 200 m
b) θmin = (1.22*λ )/d
d = pupil diameter
The Attempt at a Solution
for a) I calculated the answer to be 1.5 x 10^-3 however I'm not sure whether the unit for this would be in rads or degrees as the question asks for the angle? I'm aware that MAR (theta-min), the angle between two point sources needed in order for them to be resolved as separate is measured in radians - does this hold true for the angle that the stones subtend as well?
If the answer i calculated is indeed in the unit of degrees, would i have to convert it to rads? (which would be equivalent to 5.23 x 10^-3 rads)?
b) Minimum angular resolution i calculated to be 2.44 x 10^-4 rads using the formula 1.22(λ)/(diameter of pupil) - I'm pretty sure that this is measured in radians.
If anyone could help me in this it would be greatly appreciated!