Resolving Distant Objects question

  • Thread starter fatkat444
  • Start date
  • #1
4
0
[SOLVED] Resolving Distant Objects question

Consider a telescope with a small circular aperture of diameter 2.0 centimeters.

If two point sources of light are being imaged by this telescope, what is the maximum wavelength (lambda) at which the two can be resolved if their angular separation is 3.0 x 10^-5 radians?



Relevant equation - sin(theta) = 1.22 x lambda/D


I get - Dsin(theta)/1.22 = lambda
0.02 x sin(3.0 x 10^-5)/1.22 = lambda
= 4.92 x 10^-7
therefore lambda = 0.492 nm

It doesn't seem correct. Any help would be very appreciated.
 

Answers and Replies

  • #2
Kurdt
Staff Emeritus
Science Advisor
Gold Member
4,812
6
You're correct its just you have the units confused. It will be 492nm not 0.492. Remember a nanometer is 1 billionth of a meter. So one nanometer is 1x10-9 m.
 
  • #3
4
0
yeah i just figured it out and was coming back to post as you replied, thanks anyway though.
 

Related Threads on Resolving Distant Objects question

Replies
6
Views
4K
  • Last Post
Replies
6
Views
6K
Replies
10
Views
1K
  • Last Post
Replies
7
Views
422
  • Last Post
Replies
3
Views
2K
Replies
3
Views
2K
Replies
2
Views
2K
  • Last Post
Replies
2
Views
431
  • Last Post
Replies
11
Views
1K
Top