Question

If you place 48 cm object 15 m in front of a convex mirror of focal length 5 m, what is the magnification of the image?

Answer 1

m = 0.25

Step-by-step explanation:

Given that,

Object distance, u = -15cm

Height of the object, h = 48

Focal length, f = cm

We need to find the magnification of the image.

Let v is the image distance. Using mirror's equation.

`(1)/(v)+(1)/(u)=(1)/(f)\\\\(1)/(v)=(1)/(f)-(1)/(u)\\\\=(1)/(5)-(1)/((-15))\\\\=3.75\ cm`

Magnification,

`m=(-v)/(u)\\\\=(-3.75)/(-15)\\\\=0.25`

Hence, the magnification of the image is 0.25.