Question

A 1.75-m-tall person stands 9.30 m in front of a large, concave spherical mirror having a radius of curvature of 4.00 m. (a) Determine the mirror's focal length (in m ). m (b) Determine the image distance (in m ). m (c) Determine the magnification. (d) Is the image real or virtual? real virtual (e) Is the image upright or inverted? upright inverted

Answer 1

The question on concave mirrors requires solving for focal length, image distance, magnification, and identifying the nature of the image using mirror equations.

Step-by-step explanation:

The question provided involves a concave mirror and requires understanding of mirror equations to solve for focal length, image distance and magnification, as well as to determine the nature of the image formed.

Answers:

1. The focal length of the concave mirror is half of the radius of curvature, so it is 2.00 m (f = R/2 = 4.00 m / 2).
2. To find the image distance, we use the mirror equation: 1/f = 1/do + 1/di. Substituting the known values gives us the image distance di.
3. The magnification of the image is the negative ratio of the image distance to the object distance (m = -di/do), which also helps us to determine the nature of the image (real or virtual, upright or inverted).

By solving these quantities step-by-step, we can answer all parts of the question.