Question

The focal length of a converging lens is 0.50 meters. An object is placed 1.0 meters from the lens. The distance between the lens and the image is

a.) 1
b.) .5
c.) .25
d.) 1.5

Answer 1

Answer: the correct answer is A (1.0 m)

Step-by-step explanation:

I just took the test and got it right

Answer 2

To solve this problem we will simply use the lens equation.

`1/d+1/i=1/f`
Where d is the object distance, i is the image distance and f is the focal point distance.
We can solve this equation for i:

`1/d+1/i=1/f\\ 1/i=(1/f-1/d )\ \cdot (df)/(df)\\ 1/i=(d-f)/(fd)\\ i=(fd)/(d-f)`
Now we plug in the numbers:

`i=(fd)/(d-f)\\ i=(0.5\cdot 1)/(1-0.5)\\ i=1m`
The answer is A.