Answer to Question #256639 in Optics for Addi

Question

Determine the image distance and image height of a 5.00 cm tall object placed 10.0 cm from a concave mirror having having a focal length of 15.0 cm 

Answer 1

f=15 cm, u=10 cm, h₀=5 cm.

Write the mirror equation:

$$\frac1v=\frac1f-\frac1u,\\\space\\ v=\frac{fu}{u-f}=-30\text{ cm}.$$

The magnification:

$$m=\frac vu=\frac{h_i}{h_0},\\\space\\ h_i=h_0\frac vu= -15\text{ cm}.$$