A microscope objective lens is immersed in oil

Question

A microscope objective lens is immersed in oil (n = 1.61) and accepts light scattered from the object up to 60° on either side of the vertical. What is the approximate resolution of the microscope (in nm) for 558 nm light?

Answer: 2.44E2 (2.44 × 102)

Please show your work how to get to the above answer. My answer came to 2.79E2 so i don't think i am doing right....

Answer 1

I think you use The Rayleigh Criterion

The Rayleigh criterion is the generally accepted criterion for the minimum resolvable detail - the imaging process is said to be diffraction-limited when the first diffraction minimum of the image of one source point coincides with the maximum of another.

If all parts of an imaging system are considered to be perfect, then the resolution of any imaging process will be limited by diffraction.    

This leads to the simplified statement that the limit of resolution of any imaging process is going to be on the order of the wavelength of the wave used to image it.

sin(angle of resolution) = 1.22 x (wavelength / diameter)