contestada

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

Respuesta :

Demiurgos
To solve this problem we will simply use the lens equation.
[tex]1/d+1/i=1/f[/tex]
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:
[tex]1/d+1/i=1/f\\ 1/i=(1/f-1/d )\ \cdot \frac{df}{df}\\ 1/i=\frac{d-f}{fd}\\ i=\frac{fd}{d-f}[/tex]
Now we plug in the numbers:
[tex]i=\frac{fd}{d-f}\\ i=\frac{0.5\cdot 1}{1-0.5}\\ i=1m[/tex]
The answer is A.

Answer: the correct answer is A (1.0 m)

Explanation:

I just took the test and got it right

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