Question

2. A microscope has a 1.1 cm diameter objective lens with a focal length of 2.3 mm. The microscope is using light with a wavelength of 550 nm.

Please help me break down and work through this practice question so that I can better under the steps and work it out on my own.

2. A microscope has a 1.1 cm diameter objective lens with a focal length of 2.3 mm. The microscope is using light with a wavelength of 550 nm. a. What color is the light? b. What is the resolving power of the objective if used in air? C. What is the resolving power of the objective is used in oil with an index of refraction of 1.5? d. Would using a longer wavelength improve the resolution? Why or why not?

Answer 1

a> 550 nm lies between Green and Yellow R = 0.61 NA NA:n sino For air nal NAS NA = 0.92258 R = 0.61 x 550 nm 0.92258 : Ra 363.65 om Resolving power = 313165 mm > When objective lens used in oil (nalis) NA = nsino a 1.5x ! 104)* +2.37€

NA s. 1.384 Pa nm 0.61 x 550 1:384 R = 242.4 nm Resolving power = 242-4 nm | 1d5 R = 0611 NA Ran decrease the Increasing Resolving the Wavelength will power . High Resoking power means , R should be minimum