In: Physics
The numerical aperture of an instrument is 0.969. How far apart are the lines on a certain shell if they are just barely resolved when viewed with green light (548 nm)?
Diameter of the instrument d = 0.969 cm ( Check the units if units are dirrerent then follow the procedure
= 0.969 x10 -2 m you get answer)
Wavelength
= 548 x 10
-9 m
Resolving angle
= 6.899 x 10 -5 rad
We know angle = arc / radius
Here radius = normal viewed distance = 25 cm
So, Required distance between the lines ( arc) y = radius x angle
= 1.72 x10 -3 cm