Question

Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1−1=1, where the focal distance to the object from the lens(D)is related to the focal length (F)and the distance from the lens to the film (S).If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?

Answer 1

If an object is placed 8 cm from a lens with a focal length of 4 cm, the image is 8 cm from the lens

Let the focal length be represented by f

Let the distance between the object and the lens be represented by u

Let the distance between the image and the lens be v

The focal length, f = 4 cm

The distance between the object and the lens, u = 8cm

The distance  between the image and the lens, v = ?

The relationship between the focal length (f), distance between the object and the lens (u), and the distance between the image and the lens (v) is given below:

$\frac{1}{u} + \frac{1}{v} = \frac{1}{f}$

Substitute f = 4, and u = 8 into the equation above:

$\frac{1}{8} + \frac{1}{v} = \frac{1}{4} \\\\\frac{1}{v} = \frac{1}{4} - \frac{1}{8}\\\\\frac{1}{v} = \frac{2-1}{8}\\\\\frac{1}{v} = \frac{1}{8}\\\\v = 8$

Therefore, the image is 8 cm from the lens

Learn more here: brainly.com/question/19146043