Question

In: Physics

The numerical aperture of an instrument is 0.969. How far apart are the lines on a...

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)?

Solutions

Expert Solution

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


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