Question

A convex mirror has a focal length of 15cm. If the object is 35cm from the mirror and is 2cm tall, what is the magnification? Round your answer to one decimal place.

Answer 1

The magnification is 0.3

Step-by-step explanation:

Given:

The focal length of the convex mirror, f = 15 cm

for convex mirror f = -f = -15 cm

The distance of object, u = 35 cm

Height of the object, h = 2 cm

Now, using the mirror formula, we have

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

where, v is the distance of the image

on substituting the values, we get

`(1)/(-15)=(1)/(35)+(1)/(v)`

or

`-(1)/(v)=(1)/(35)-(1)/(-15)`

or

v = -10.5 cm

now, the magnification (m) is given as:

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

on substituting the values, we get

m =
`-(-10.5)/(35)`

or

m = 0.3

Hence, the magnification is 0.3