Question

An object is placed a distance of 50 cm from a convex mirror of radius 40 cm. What is the magnification? O 3.5 O 2.5 O 0.3 0.5

Answer 1

Step-by-step explanation:

Given that,

Object distance, u = -50 cm

Radius of curvature of the convex mirror, R = 40 cm

Focal length of the convex mirror,
`f=(R)/(2)=20\ cm`

We need to find the magnification of the mirror. Firstly, it is required to find the image distance using formula as:

`(1)/(f)=(1)/(v)+(1)/(u)`

`(1)/(f)-(1)/(u)=(1)/(v)`

`(1)/(20)-(1)/(-50)=(1)/(v)`

v = 14.28 cm

Magnification of the mirror,

`m=(-v)/(u)`

`m=(-14.28)/(-50)`

m = 0.28

So, the magnification of the mirror is 0.28.Hence, this is the required solution.