Question

A nature photographer is using a camera that has a lens with a focal length of 3.06 cm. The photographer is taking pictures of ancient trees in a forest and wants the lens to be focused on a very old tree that is 10.4 m away. a) How far must the lens be from the film in order for the resulting picture to be clearly focused? Answer in units of cm.

Answer 1

film is at distance of 3.07 cm from lens

Step-by-step explanation:

Given data

focal length = 3.06 cm

distance = 10.4 m = 1040 cm

to find out

How far must the lens

solution

we apply here lens formula that is

1/f = 1/p + 1/q

here f = 3.06 and p = 1040 so we find q

1/f = 1/p + 1/q

1/3.06 = 1/1040 + 1/q

1/ q = 0.3258

q = 3.0690 cm

so film is at distance of 3.07 cm from lens