A physics student enhanced a classical microscope by replacing the traditional eyepiece with an ocular camera, enabling direct imaging of microscopic samples. The camera's sensor has a width of 25 mm and individual pixels measure 3.5 μm × 3.5 μm. If a microorganism structure appears with a length of 100 pixels in the captured image, what is the actual length of the microorganism structure in μm? Consider the magnification of the microscope as 100.

A laboratory technician is observing a specimen on a slide using a symmetric (biconvex) lens made from glass. The slide is positioned 40 cm from the viewing screen. What should be the radius of the lens in order to produce an image of the specimen on the viewing screen that appears to be three times bigger than the actual size of the specimen?

Consider a plano-convex lens that is flat on one side, has a 15.0 cm radius of curvature on the other lens, and is composed of magneto-optical plastic. This plastic has an index of refraction of 1.550. The lens is being used to form an image of an object situated 60.0 cm from the lens on a viewing screen. If a magnetic field is applied to the plastic, causing the index of refraction to decrease, what change in the refractive index would be necessary to shift the image 4.0 cm further away from the lens?

A photographer is taking a photograph of a person who is standing 3.0 m away from her. She is using a camera with a 50 mm focal length lens. The person's face is approximately 20 cm long in height. What is (i) the image distance and (ii) the height of the person's face image on the camera's sensor?

A biconcave lens is made from fused quartz (refractive index 1.46) is shown below. Compute the focal length of this lens.

A Xerox machine uses a thin lens to make an image of a document on its drum. This image is then used to make the copy. A passport is put on the xerox machine's document glass, which is 20 cm from the lens. The image formed is 15.0 cm from the lens and is on the opposite side. Determine the focal length and find out whether the lens is converging or diverging.

A highly polished, double convex lens with a 130 mm focal length and 44 mm diameter forms an image of an object placed in front of it. The image formed by the convex lens is 2.1 cm tall and erect. The height of the object is 15 mm. Find out how far from the lens is the image and object located. Is the image erect or inverted?