Question

A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.

What is the distance of the image from the lens? Round your answer to three significant figures. ____ cm
What is the height of the image? Round your answer to three significant figures? ____ cm

Answer 1

22.5 and 6.25

Step-by-step explanation:

Answer 2

Image distance, v = 22.5 cm

Height of the image, h' = 6.5 cm

Step-by-step explanation:

It is given that,

Height of the object, h = 5 cm

Object distance, u = -18 cm

Focal length of the lens, f = +10 cm

Using mirror's formula :

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

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

`(1)/(v)=(1)/(10)+(1)/((-18))`

v = 22.5 cm

Magnification of the lens :

`m=(v)/(u)=(h')/(h)`

`h'=(v)/(u)h`

`h'=(22.5\ cm)/(-18\ cm)* 5`

h' = -6.5 cm

Hence, this is the required solution.