Question

An object with a height of 33 cm is placed 2.4 m in front of a concave mirror with a focal length of 0.85 m.

Part A Determine the approximate location of the image using a ray diagram. Express your answer using two significant figures: __________ m in front of the mirror. Part B Determine the approximate size of the image using a ray diagram. Express your answer using two significant figures. Part C Is the image upright or inverted? Is the image upright or inverted? upright inverted

Answer 1

Solution

Part A

the ray diagram is show bellow

Where:

p: is the distance between object and the concave mirror

q: is the distance bewteen image and concave mirror

R: is the distance between curvature center and concave mirror

h': is the image size

The equation of the concave mirror is determined as follows

(1)

But

(2)

Therefore

(3)

(4)

is the image located

Part B

We use the rays diagram, as follows

For the upper triangle

(5)

For the below triangle

(6)

Relating (5) and (6)

(7)

(8)

Part C

Based on the result obtained in part B of this problem, the image is vertical and inverted.