Question

Two converging lenses with focal lengths of 40 cm and 21 cm are 14 cm apart. A 2.5-cm-tall object is 15 cm in front of the 40-cm-focal-length lens. What is the image distance from the first lens?

Answer 1

To calculate the image distance from the first lens with a focal length of 40 cm and an object 15 cm in front, use the lens formula 1/f = 1/di + 1/do by substituting the given values and solving for di.

Step-by-step explanation:

The subject of the question is regarding the calculation of image distance using the properties of converging lenses in optics, which is a part of Physics. To find the image distance from the first lens, we can use the lens formula, which is 1/f = 1/di + 1/do, where f is the focal length of the lens, di is the image distance, and do is the object distance. For a 40 cm focal length lens with an object placed 15 cm in front of it, plugging into the lens formula (1/40 = 1/di + 1/15), we can solve for di to find the image distance. Remember to convert focal lengths and distances to the same units (for instance, cm) before using the formula.