Early cameras were little more than a box with a pinhole on the side opposite the film. (a) what angular resolution would you expect from a pinhole with a 0.50-mm diameter? (b) what is the greatest distance from the camera at which two point objects 15 cm apart can be resolved? (assume light with a wavelength of 520 nm.

angular resolution = 0.07270° = 1.269 × rad

greatest distance from the camera = 118.20 m = 0.118 km

Explanation:

given data

diameter = 0.50 mm = 0.5 × m

distance apart = 15 cm =  15× m

wavelength λ = 520 nm = 520 × m

to find out

angular resolution and greatest distance from the camera

solution

first we expression here angular resolution that is

sin θ =   .......................1

put here value λ is wavelength and d is diameter

we get

sin θ =

θ = 0.07270° = 1.269 × rad

and

distance from camera is calculate here as

θ =    .................2

I =

I = 118.20 m = 0.118 km

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