00:02
Estimate the difference in the working distance.
00:07
Our working distance is proportional to its magnification.
00:12
We're given our magnification of the 5x objective lens as 5x, and for our 50x objective lens as 50x.
00:20
Our working distance is proportional to 1 over our magnification.
00:26
So our ratio, working distance over 50x over working distance over 5x, is equal to the magnification of our 5x over the magnification of 50x.
00:37
We have 5 over 50 or 0 .1.
00:41
So our working distance for the 50x lens is 0 .1 times the working distance of the 5x objective lens.
00:49
Now we'd like to find our resolution, which is given by 0 .61 wavelength over our numerical aperture.
00:56
For our 5x lens, it is equal to 0 .61 times our 550 times 10 to the negative 9 over 0 .11.
01:11
So we can plug this in.
01:13
For our 50x, we have 0 .61, 550 times 10 to the negative 9 over 0 .85...