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Which accurately compares concave and convex lenses?
A. With both concave and convex lenses, the characteristics of the image do not depend on the placement of the object.
B. With both concave and convex lenses, the characteristics of the image depend on the placement of the object.
C. With concave lenses, the characteristics of the image do not depend on the placement of the object, but with convex lenses, they do.
D. With convex lenses, the characteristics of the image do not depend on the placement of the object, but with concave lenses, they do.

Respuesta :

skyluke89
The correct answer is B) With both concave and convex lenses, the characteristics of the image depend on the placement of the object.
We can have a look at the lens equation:
[tex] \frac{1}{f} = \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where f is the focal length of the lens, [tex]d_o[/tex] the distance of the object from the lens and [tex]d_i[/tex] is the  distance of the image from the lens. As it can be seen from the formula, the distance of the image depends on [tex]d_o[/tex], the placement of the object.

The same is true for the magnification, i.e. the size of the image ([tex]h_i[/tex]) compared to the size of the object ([tex]h_o[/tex]), which is given by
[tex]M= \frac{h_i}{h_o} - \frac{d_i}{d_o} [/tex]
As it can be seen, this quantity depends on the placement of the object as well.
Katty185

With concave lenses, the characteristics of the image do not depend on the placement of the object, but with convex lenses, they do.

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