Question

Betty and Ahmed are standing 4.0 m in front of a camera, which has a converging lens with a focal length of 0.045 m. The distance between the image and the lens is 0.044 m 0.046 m 0.44 m 0.46 m

Answer 1

Answer: 0.046

Step-by-step explanation:

I just did the question and got it right

Answer 2

0.046 m

Step-by-step explanation:

The lens equation states that:

`(1)/(f)=(1)/(p)+(1)/(q)`

where

f is the focal length

p is the distance of the object from the lens

q is the distance of the image from the lens

For this problem, we have

p = 4.0 m (distance of Betty and Ahmed from the lens)

f = 0.045 m (focal length of the lens, which is positive since it is a converging lens)

So we can re-arrange the formula to find q

`(1)/(q)=(1)/(f)-(1)/(q)=(1)/(0.045)-(1)/(4.0)=21.97m^(-1)\\f=(1)/(21.97)=0.046 m`