how far should an object be from a converging mirror of radius 36cm to form a real image one - ninth of its size​

Respuesta :

Answer:

focal length :

[tex]{ \tt{f = \frac{r}{2} }} \\ focal \: length = \frac{36}{2} = 18 \: cm[/tex]

From linear magnification:

[tex]{ \tt{ \frac{1}{m} + 1 = \frac{u}{f} }} \\ \frac{1}{9} + 1 = \frac{u}{18} \\ \\ u = \frac{18 \times 10}{9} \\ u = 20 \: cm[/tex]

The object must be at 20 cm