Question

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?

Answer 1

5 cm

Step-by-step explanation:

Answer 2

Answer: 5 cm

Explanation:

From magnification of mirror formula, we have

`(h_i)/(h_o)=(v)/(u)`

where,
`h_i` is the height of the image,
`h_o` 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:

`h_i` = 18 cm

`h_o` = 10.0 cm

v = 9 cm

u = ?

`(18)/(10)=(9)/(u) \\ \Rightarrow u = (9)/(1.8) = 5 cm`

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