Question

an object is on the optical axis of a convex spherical mirror with a focal length of 51 cm . the object has a height of 2.0 cm and is at a distance of 80 cm from the mirror. what is the height of the image?

Answer 1

To find the height of the image formed by a convex spherical mirror, we can use the mirror formula and the magnification formula. The height of the image is -1.55 cm.

Step-by-step explanation:

To find the height of the image formed by a convex spherical mirror, we can use the mirror formula: 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance. In this case, the object distance u is 80 cm and the focal length f is 51 cm. Plugging these values into the formula, we can find the image distance v: 1/51 = 1/v - 1/80. Solving for v gives us v = 62.11 cm. To find the height of the image, we can use the magnification formula: h / h' = -v / u, where h is the object height and h' is the image height. Plugging in the values, we can find the image height: 2 / h' = -62.11 / 80. Solving for h' gives us h' = -1.55 cm.