Question

A 1.70 m tall woman stands 5.00 m in front of a camera with a 50.00 cm focal

length lens. Calculate the size of the image formed on flim​

Answer 1

18.89cm

Step-by-step explanation:

As we know that the person is standing 5m in front of the camera

`d_0=5m=500cm`

The focal length of the lens =50cm

f=50 cm

By Lens formula we have:

`(1)/(f) = (1)/(d_i) + (1)/(d_o)\\(1)/(50) = (1)/(d_i) + (1)/(500)\\(1)/(d_i) =(1)/(50)-(1)/(500)\\(1)/(d_i)=0.018\\d_i=55.56cm`

By the formula of magnification

`(h_i)/(h_o) = (55.56)/(500)\\\\h_i = (55.56)/(500) * h_o\\\\ h_o=1.70m=170cm\\\\Therefore: h_i=(55.56)/(500) *$ 170 cm\\\\h_i =18.89 cm`

The height of the image formed is 18.89cm.