An object is 40 cm in front of a concave mirror with a focal length of 20 cm. Use ray tracing to locate the image. Is the image upright or inverted?

Respuesta :

Answer:

Inverted

Explanation:

See attached picture for the ray diagram, where

P is the object location

F is the focal length

Q is the image location

Each tick corresponds to 10 cm, so

p = 40 cm

f = 20 cm

--> q = 40 cm, so the image is located at the same position as the object

We also see from the diagram that the image is inverted.

This can be verified also by using the mirror equation:

[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{20 cm}-\frac{1}{40 cm}=\frac{1}{40 cm}\\q = 40 cm[/tex]

and the magnification is

[tex]M=-\frac{q}{p}=-\frac{40 cm}{40 cm}=-1[/tex]

which means:

- image is inverted (because magnification is negative)

- Image is same size as the object (because |M| = 1)

Ver imagen skyluke89