Masha is using a microscope to study Bascillus subtilis, which is a rod-shaped bacterium found in the gastrointestinal tract certain mammals. The objective lens she is using has a focal length fo = shortest possible Bascillus subtilis bacterium she can resolve 0.45 cm and a diameter D = 1.00 cm. What is the using this objective lens? Use A :550 nm and assume that diffraction sets the resolution limit in this case.

A contact lens is made of plastic with an index of refraction 1.50. The lens has an outer radius of curvature of + 1.65 cm and an inner radius of curvature of + 5.85 cm. What is its focal length? TTTT Paragraph Arial 3 (12pt) E - E - T- 回i 公 T T, Bullet List O f. Mashups- HTML CSS

a) Show that an infinitesimal change dn of the refractive index of the material of a thin lens leads to an infinitesimal change df of the focal distance, i.e., show that: df f dn n-na (1) where na is the refractive index of air. 1.530) using a discrete b) Calculate the focal distance of a thin lens for blue light (with n= version of the upper equation if the focal distance for red light (with n = 1.470) is 20.0 cm (na = 1.000).

A camera lens used for taking close-up photographs has a focal length of 21 mm. The farthest it can be placed from the film is 33.3 mm. a. What is the closest object that can be photographed?  mm b. What is the magnification of this closest object?  X