The reflection of a 10.0 cm object appears to be 18 cm tall and 9 cm behind the mirror. What distance is the object from the mirror?

Respuesta :

Answer: 5 cm

Explanation:

From magnification of mirror formula, we have

[tex]\frac{h_i}{h_o}=\frac{v}{u}[/tex]

where, [tex]h_i[/tex] is the height of the image, [tex]h_o[/tex] is the height of the object, u is the distance of the object from mirror and v is the distance of the image from the mirror.

Given:

[tex]h_i[/tex] = 18 cm

[tex]h_o[/tex] = 10.0 cm

v = 9 cm

u = ?

[tex]\frac{18}{10}=\frac{9}{u} \\ \Rightarrow u = \frac{9}{1.8} = 5 cm[/tex]

Thus, the object is placed at 5 cm from the mirror.

Answer:

5 cm

Explanation: