Optics Physics

You are looking into a shiny Christmas ornament (ball). The ball has a diameter of 8.0 cm. Where does your image appear to be if you are holding the ball 20 cm from your face? What is the magnification?

A concave mirror has a focal length of 40 cm. Determine the object position for which the resulting image is upright and 4 times the size of the object.

You want to form an image on a screen 10 m from a mirror. If the image is 7 times bigger than the object, what type of mirror do you need? What is the radius of curvature?

An object is placed at a distance of 30 cm from a concave lens of focal length 15 cm, h$_I$ = 2 cm. Determine the position of the image, the linear magnification, and h$_0$.