Asked by JOTHEY
Problem 19.33
Two light bulbs are 1.5 m apart.
From what distance can these light bulbs be marginally resolved by a small telescope with a 4.0 cm-diameter objective lens? Assume that the lens is limited only by diffraction and lambda = 600 nm.
Two light bulbs are 1.5 m apart.
From what distance can these light bulbs be marginally resolved by a small telescope with a 4.0 cm-diameter objective lens? Assume that the lens is limited only by diffraction and lambda = 600 nm.
Answers
Answered by
drwls
The angular resolution limit for two point sources of equal intensity is
d(theta) = 1.22(lambda)/D,
in radians, where D is the aperture diameter. This assume good atmospheric vewing conditions ("seeing").
If the viewing distance is X (meters),
1.5/X = 1.22*(600*10^-9 m)/(0.04 m)
Solve for X, in meters
X = 1.5*0.04/[1.22*600*10^-9)]
Solve for X
d(theta) = 1.22(lambda)/D,
in radians, where D is the aperture diameter. This assume good atmospheric vewing conditions ("seeing").
If the viewing distance is X (meters),
1.5/X = 1.22*(600*10^-9 m)/(0.04 m)
Solve for X, in meters
X = 1.5*0.04/[1.22*600*10^-9)]
Solve for X
Answered by
Gaydog
8=======3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.