Question

Use the thin-lens equation to show that the magnification for a thin lens is determined by its focal length and the object distance and is given by m=f/(f−dₒ).

Answer 1

The magnification for a thin lens is determined by its focal length and the object distance and is given by m = f/(f - do).

Step-by-step explanation:

The magnification for a thin lens can be determined using the thin-lens equation, which is given by m = f/(f - do). Here, f represents the focal length of the lens and do represents the object distance. The magnification, m, is the ratio of the image height to the object height.

For example, if we have a converging lens with a focal length of 20 cm and the object is placed 5 cm in front of the lens, we can use the equation to find the magnification. Substituting the values, we get m = 20 cm / (20 cm - 5 cm) = 20 cm / 15 cm = 4/3.

Thus, the magnification for this scenario is 4/3.