Question

A 142 cm tall person stands

250 cm from a camera, which has
a 15.0 cm focal length lens. How
big is the image of the person on
the film?
(Mind your minus signs.)
(Unit = cm)​

Answer 1

Height of the image is 9.06 cm

Step-by-step explanation:

As we know that the person is standing 250 cm from the lens

Now we know that the focal length of the lens is

f = 15 cm

now by lens formula we have

`(1)/(f) = (1)/(d_i) + (1)/(d_o)`

`(1)/(15) = (1)/(d_i) + (1)/(250)`

`d_i = 15.96 cm`

now we know by the formula of magnification

`(h_i)/(h_o) = (15.96)/(250)`

now we have

`h_o = 142 cm`

`h_i = 142* (15.96)/(250)`

`h_i = 9.06 cm`